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Recent Publications

• Slimane Adjerid

  • Adjerid S. and Klauser A. Superconvergence of Discontinuous Finite Element Solutions for Convection Diffusion Problem, Journal of Scientific Computing 22/23 (2005) 5-24.
  • Adjerid S. and Salim M. Even-odd Goal-oriented a Posteriori Error Estimation for Elliptic Problems, Applied Numerical Mathematics 55, (2005), 384-402.
  • Adjerid, S. and Issaev, D., Superconvergence of the Local Discontinuous Galerkin Method Applied to Diffusion Problems, Proceedings of the Third MIT Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005, Elsevier, editor: J. Bathe, (2005), 1040-1042.
  Adjerid, S. and Issaev, D., Superconvergence of the Local Discontinuous Galerkin Method Applied to Diffusion Problems, Proceedings of the Third MIT Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005, Elsevier, editor: J. Bathe, (2005), 1040-1042.
  • Adjerid, S. and Massey T. C., Superconvergence of discontinuous Finite element solutions for nonlinear hyperbolic problems, Computer Methods in Applied Me- chanics and Engineering 195 (2006), 3331-3346.
  • S. Adjerid, A posteriori Error estimation of the method of lumped masses applied to second-order hyperbolic problems, Computer Methods in Applied Mechanics and Engineering 195 (2006), 4203-4219.
  • S. Adjerid and H. Temimi, A discontinuous Galerkin method for higher-order differential equations, Computer Methods in Applied Mechanics and Engineering 197 (2007) 202-218.
  • S. Adjerid and T. Lin, Higher-order Immersed discontinuous Galerkin methods, Internation Journal of Information and Systems Sciences, 3, p. 555-568, 2007.
  • S. Adjerid and M. Baccouch, The discontinuous Galerkin method for Two-dimensional problems. Part I: Superconvergence error analysis, Journal of Scientific Computing, 33, 75-113, 2007.
  • S. Adjerid and M. Baccouch, The discontinuous Galerkin method for Two-dimensional problems. Part II: A posteriori error analysis, Journal of Scientic Computing, Vol 38, pp. 15, 2009.
  • S. Adjerid and T. Lin, Higher-order immersed finite element methods, Appl. Num. Meth., to appear.

• Joseph Ball

  • J.A. Ball and T. Malakorn, Multidimensional linear feedback control systems and interpolation problems for multivariable holomorphic functions, Multidimensional Systems and Signal Processing 15 (2004), 7-36.
  • J.A. Ball, M.A. Petersen and A. van der Schaft, Inner-outer factorization for nonlinear noninvertible systems, IEEE Trans. Auto. Control, 49 (2004), 483-492.
  • J.A. Ball and V. Bolotnikov, Realization and interpolation for Schur-Agler-class functions on domains with matrix polynomial defining functions in C^n, J. Functional Analysis 213 (2004), 45-87.
  • J.A. Ball, C. Sadosky and V. Vinnikov, Conservative linear systems, unitary colligations and Lax-Phillips scattering: multidimensional generalizations, International J. Control 77 (2004), 802-811.
  • J.A. Ball, J.W. Helton, M. Klaus and L. Rodman, IWOTA2002 and recent achievements and new directions in operator theory and applications, in Current Trends in Operator Theory and its Applications (Ed. J.A. Ball, J.W. Helton, M. Klaus and L. Rodman), pp. ix-xxii, OT149 Birkhauser-Verlag, Basel-Boston, 2004.
  • J.A. Ball and V. Bolotnikov, Boundary interpolation for contractive-valued functions on circular domains in C^n, in Current Trends in Operator Theory and its Applications (Ed. J.A. Ball, J.W. Helton, M. Klaus and L. Rodman) pp. 107-132, OT149 Birkhauser- Verlag, Basel-Boston, 2004.
  • J.A. Ball, J.W. Helton, M. Klaus and L. Rodman (Ed.), Current Trends in Operator Theory and its Applications, OT 149 Birkhauser-Verlag, Basel-Boston, 2004 (595+xxii pages).
  • J.A. Ball, K.M. Mikkola and A.J. Sasane, State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems, SIAM J. Control and Optimization, 44 (No. 2) (2005), pp. 531-563.
  • J.A. Ball, C. Sadosky and V. Vinnikov, Conservative input-state-output systems with evolution on a multidimensional integer lattice, Multidimensional Systems and Signal Processing, 16 (2005), 133-198.
  • J.A. Ball, C. Sadosky and V. Vinnikov, Scattering systems with several evolutions and multidimensional input/state/output systems, Integral Equations and Operator Theory, 52 (2005), 323-393.
  • J.A. Ball and V. Vinnikov, Lax-Phillips scattering and conservative linear systems: A Cuntz-algebra multidimensional setting, Memoirs of the American Mathematical Society, Volume 178 Number 837, American Mathematical Society, Providence, 2005.
  • J.A. Ball and V. Bolotnikov, Nevanlinna-Pick interpolation for Schur-Agler-class functions on domains with matrix polynomial defining function in C^n, New York J. Math. 11 (2005), 1-44.
  • J.A. Ball, G. Groenewald and T. Malakorn, Structured noncommutative multidimensional linear systems, 45 pages, SIAM J. Control and Optimization, 44 (2005), 1474-1528.
  • J.A. Ball and V. Vinnikov, Functional models for representations of the Cuntz algebra, in Operator Theory, System Theory and Scattering Theory: Multidimensional Generalizations (Ed. D. Alpay ad V. Vinnikov), pp. 1-60, OT 157 Birkhauser-Verlag, Basel- Boston,2005.
  • J.A. Ball and V. Vinnikov, Noncommutative linear system theory, formal power series in noncommuting indeterminates and applicatons, Proceedings of the fourth International Workshop on Multidimensional (nD) Systems NDS 2005 (July 10-July13), 2005, Wuppertal, Germany), pp. 36-42.
  • J.A. Ball, G. Groenewald and T. Malakorn, Conservative structured noncommutative multidimensional linear systems, in The State Space Method Generalizations and Applications (Ed. D. Alpay and I. Gohberg), pp. 179-223, OT 161, Birkhiauser-Verlag, Basel-Boston-Berlin, 2006.
  • J.A. Ball, G. Groenewald and T. Malakorn, Bounded real lemma for structured noncommutative multidimensional linear systems and robust control, Multidimensional Systems and Signal Processing 17 (2006), 119-150.
  • J.A. Ball and A. Sasane, Equivalence of a behavioral distance and the gap metric, Systems & Control Letters 55 No. 3 (2006), 214-222.
  • J.A. Ball and O.J. Staffans, Conservative state-space realizations of dissipative system behaviors, Integral Equations and Operator Theory 54 No. 2 (2006), 151-213.
  • J.A. Ball and M.W. Raney, Discrete-time dichotomous well-posed linear systems and generalized Schur-Nevanlinna-Pick interpolation, Complex Analysis and Operator Theory 1 (2007), 1-54.
  • J.A. Ball, V. Bolotnikov and Q. Fang, Multivariable backward-shift-invariant subspaces and observability operators, 46 pages, Multidimensional Systems and Signal Processing, 18 (2007), 191-248.
  • J.A. Ball, V. Bolotnikov and Q. Fang, Transfer-function realization for multipliers of the Arveson space, J. Mathematical Analysis and Applications, 333 (2007), 68-92.
  • J.A. Ball, V. Bolotnikov and Q. Fang, Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations, in Operator Theory, Structured Matrices, and Dilations: Tiberiu Constantinescu Memorial Volume (ed. Bakonyi, M., Geondea, A., Putinar, M., and Rovnyak, J.) (2007), pp. 85-114, Theta Press, Bucharest.
  • J.A. Ball and D.S. Kaliuzhnyi-Verbovetskyi, Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings, Multidimensional Systems and Signal Processing 19 (2008) no. 1, 79-122.
  • Ball, J.A., Bolotnikov, V., and Fang, Q., Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations, J. Mathematical Analysis and Applications, 341 (2008), 519-539.
  • Ball, J.A., Eidelman, Y., Helton, J.W., Olshevsky. V. and Rovnyak, J. (Editors), Recent Advances in Matrix and Operator Theory, Operator Theory Advances and Applications Vol. 179, Birkhauser (Basel-Boston-Berlin), 2008.
  • Ball, J.A., Carroll, P.T., and Uetake, Y., Lax-Phillips scattering theory and well-posed linear systems: a coordinate-free approach, Mathematics of Control, Signals, and Systems, Mathematics of Control, Signals, and Systems 20 (2008), 37-79.
  • J.A. Ball and V. Bolotnikov, Interpolation problems for Schur multipliers on the Drury-Arveson space: from Nevanlinna-Pick to Abstract Interpolation Problem, Integral Equations and Operator Theory 62 (2008), 301-349.
  • J.A. Ball, A. Biswas, Q. Fang and S. ter Horst, Multivariable generalizations of the Schur class: positive kernel characterization and transfer function realization, in Recent advances in operator theory and applications (T. Ando et al editors), pages, 17-79, Operator Theory: Advances and Applications, Vo. 187, Birkhauser-Verlag, 2009.
  • J.A. Ball and S. ter Horst, Multivariable operator-valued Nevanlinna-Pick interpolation: a survey, 72 pages, in Proceedings of 17th International Workshop on Operator Theorem and Applications (IWOTA), Birkhauser volume, to appear.
  • J.A. Ball, Q. Fang, G.J. Groenewald, and S. ter Horst, Equivalence of robust stabilization and robust performancec via feedback, Mathematics of Control, Signals, and Systems, to appear.

• Christopher Beattie

  • C. Beattie, M. Embree, and J. Rossi, Convergence of restarted Krylov subspaces to invariant subspaces, SIAM J. Matrix Analysis and Applications 25 (4) (2004), pp.1074-1109.
  • S. Gugercin, A. C. Antoulas, C. Beattie, and E. Gildin, Controller reduction by Krylov projection methods, Proceedings of 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS04), Leuven, Belgium, July 2004.
  • S. Gugercin, A. C. Antoulas, C. Beattie, and E. Gildin, Krylov-based controller reduction, Proceedings of the 43th IEEE Conference on Decision and Control, December 2004.
  • C. Beattie, M. Embree, and D. Sorensen, Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computations, SIAM Review, 47 (3) (2005), 492-515.
  • C. Beattie and S. Gugercin, Krylov-based model reduction of second-order systems with proportional damping, Proceedings of the 44rd IEEE Conference on Decision and Control, December 2005.
  • S. Gugercin, A. C. Antoulas and C. A. Beattie, "A rational Krylov iteration for optimal H2 model reduction," Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, July 2006, p. 1665.
  • C.A. Beattie and S. Gugercin, "Inexact solves in Krylov-based model reduction," Proceedings of the 45th IEEE Conference on Decision and Control, December, 2006, p. 3405.
  • C. A. Beattie, J. Borggaard, S. Gugercin, T. Iliescu, "A domain decomposition approach to POD," Proceedings of 45th IEEE Conference on Decision and Control, December 2006, p. 6750.

• Jeffrey Borggaard

  • A General Continuous Sensitivity Equation Formulation for the k - ε Model of Turbulence (with E. Turgeon and D. Pelletier), International Journal of Computational Fluid Dynamics, Vol. 18, No. 1, pages 29-46 (2004).
  • Simulating the Fate of Subsurface-Banded Urea (with S.B. Shah and M.L. Wolfe), Nutrient Cycling in Agroecosystems, Vol. 70, pages 47-66 (2004).
  • Application of a Sensitivity Equation Method to Transient Non-Linear Heat Conduction (with H. Hristova, S. Etienne and D. Pelletier), in Proceedings of the 42nd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2004-0495 (2004).
  • Second Order Sensitivity and Uncertainty Analysis of Laminar Airfoil Flows (with J. Mahieu, D. Pelletier and J. Trepanier), in Proceedings of the 42nd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2004-0742 (2004).
  • Application of a Sensitivity Equation Method to Turbulent Flows with Heat Transfer (with E. Colin, S. Etienne and D. Pelletier), in Proceedings of the 42nd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2004-1290 (2004).
  • Sensitivity Equations for the Design of Control Systems (with J. Vance), in Proceedings of the Sixth IASTED International Conference on Control and Applications, IASTED Paper Number 441-050 (2004).
  • Computational Challenges in Control of Partial Differential Equations (with J. Burns and L. Zietsman), in Proceedings of the 2nd AIAA Flow Control Conference, AIAA Paper Number 2004-2526 (2004).
  • Optimization of a joint sensor placement and robust estimation scheme for distributed parameter processes subject to worst case spatial disturbance distributions (with M. Demetriou), in Proceedings of the 2004 American Control Conference, (2004).
  • A Continuous Sensitivity Equation Method for Time-Dependent Incompressible Laminar Flows (with H. Hristova, S. Etienne and D. Pelletier), in Proceedings of the 34th AIAA Fluid Dynamics Conference and Exhibit, AIAA Paper Number 2004-2630 (2004).
  • On Strong Convergence of Feedback Operators for Non-Normal Distributed Parameter Systems, (with J. Burns, E. Vugrin and L. Zietsman), in Proceedings of the 43rd IEEE Conference on Decision and Control, IEEE Paper Number WeA04.5, (2004).
  • A Second-order Sensitivity Equation Method for Laminar Flows (with S. Etienne, J.-N. Mahieu and D. Pelletier), International Journal of Computational Fluid Dynamics, Vol. 19, No. 2, pages 143-157 (2005).
  • Application of a Sensitivity Equation Method to Turbulent Flows with Heat Transfer (with E. Colin, S. Rtienne and D. Pelletier), International Journal of Thermal Sciences, Vol. 44, No. 11, pages 1024-1038 (2005).
  • Application of a Sensitivity Equation Method to Turbulent Conjugate Heat Transfer (with E. Colin, S. Etienne and D. Pelletier), in Proceedings of the 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2005-0186 (2005).
  • Design of Worst Spatial Distribution of Disturbances for a Class of Parabolic Partial Differential Equations (with M. Demetriou), in Proceedings of the 2005 American Control Conference, (2005).
  • Optimal Shape Design in Mixed Convection using a Continuous Sensitivity Equation Approach (with R. Duvigneau and D. Pelletier), in Proceedings of the 38th AIAA Thermophysics Conference, AIAA Paper Number 2005-4823 (2005).
  • A Sensitivity Equation Method for Compressible Subsonic Laminar Airfoil Flows (with P. Edmond, D. Pelletier and S. Etienne), in Proceedings of the 23rd AIAA Applied Aerodynamics Conference, AIAA Paper Number 2005-4601 (2005).
  • A Continuous Second Order Sensitivity Equation Method for Time-Dependent Incompressible Laminar Flows (with F. Ilinca and D. Pelletier), in Proceedings of the 17th AIAA Computational Fluid Dynamics Conference, AIAA Paper Number 2005-5252 (2005).
  • A Continuous Sensitivity Equation Method for Time-dependent Incompressible Laminar Flows (with H. Hristova, S. Etienne, and D. Pelletier), International Journal for Numerical Methods in Fluids, Vol 50 No. 7, pages 817-844 (2006).
  • A General Sensitivity Equation Formulation for Turbulent Heat Transfer (with E. Colin, S. Etienne and D. Pelletier), Numerical Heat Transfer: Part B, Fundamentals, Vol. 49, No. 2, pages 125-153 (2006).
  • Approximate Deconvolution Boundary Conditions for Large Eddy Simulation (with T. Iliescu), Applied Math Letters, Vol. 19, pages 735-740 (2006).
  • An Improved Continuous Sensitivity Equation Method for Optimal Shape Design in Mixed Convection (with R. Duvigneau and D. Pelletier), Numerical Heat Transfer: Part B, Fundamentals, Vol. 50, No. 1, pages 1-24 (2006).
  • Application of a Sensitivity Equation Method to Compressible Subsonic Impinging Jets (with P. Edmond, D. Pelletier, S. Etienne, and A. Hay), in Proceedings of the 44th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2006-0909 (2006).
  • Optimal Reduced-Order Modeling for Nonlinear Distributed Parameter Systems, in Proceedings of the 2006 American Control Conference, Paper WeB13.3, 2006.
  • A Penalty Method Approach to LQR Control for Saddle Point Problems (with M. Stoyanov and L. Zietsman), in Proceedings of the International Conference on Nonlinear Problems in Aviation and Aerospace 2006, to appear.
  • A Domain Decomposition Approach to POD (with C. Beattie, S. Gugercin and T. Iliescu), in Proceedings of the 45th IEEE Conference on Decision and Control, Paper FrIP14.12, pages 6750-6756 (2006).
  • Interval-Based Reduced-Order Models for Unsteady Fluid Flow (with A. Hay and D. Pelletier), International Journal of Numerical Analysis and Modeling, Vol. 4, No. 3, pages 353-367 (2007).
  • Optimal Design of Airfoils Using NURBS and a Continuous Sensitivity Equation Method (with J. Cori, S. Etienne, A. Hay, D. Pelletier and J. Trepanier), in Proceedings of the 45 AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2007-1129 (2007).
  • A Continuous Second Order Sensitivity Equation Method for Time-Dependent Incompressible Laminar Flows (with F. Ilinca and D. Pelletier), International Journal for Numerical Methods in Fluids, Vol. 55, No. 6, pages 537-564 (2007).
  • Application of a Sensitivity Equation Method to the k - ε Model of Turbulence, Optimization and Engineering, Vol. 8, No. 3, pages 341-372 (2007).
  • The Sensitivity Equation Method in Fluid Mechanics (with S. Etienne, A. Hay and D. Pelletier), European Journal of Computational Mechanics, Vol. 17, No. 1-2, pages 31-61 (2008).
  • A Two-Level Discretization Method for the Smagorinsky Model (with T. Iliescu, H. Lee, J.-P. Roop and H. Son), SIAM Journal of Multiscale Modeling and Simulations, Vol. 7, No. 2, pages 599-621 (2008).
  • Reduced-Order Models for Optimal Control of Vortex Shedding (with I. Akhtar and J. Burns), in Proceedings of the 4th AIAA Flow Control Conference, AIAA Paper Number 2008-4083 (2008).
  • On the Use of Sensitivity Analysis to Improve Reduced-Order Models (with A. Hay and D. Pelletier), in Proceedings of the 4th AIAA Flow Control Conference, AIAA Paper Number 2008-4192 (2008).
  • A Reduced Order Solver for Lyapunov Equations with High Rank Matrices (with M. Stoyanov), in Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems, Blacksburg, VA (2008).
  • Reduced-Order Modeling of Turbulent Flows (with A. Duggleby, A. Hay, T. Iliescu and Z. Wang), in Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems, Blacksburg, VA (2008).
  • Reduced-Order Models for Parameter Dependent Geometries Based on Shape Sensitivity Analysis of the POD (with A. Hay and D. Pelletier), in Proceedings of the 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, AIAA Paper Number 2008-5962 (2008).
  • Model-Based Computation of Functional Gains for Feedback Control of Vortex Shedding (with I. Akhtar, J. Burns and L. Zietsman), in Proceedings of the 2008 ASME International Mechanical Engineering Congress & Exposition, Paper Number IMECE2008-68950 (2008).
  • An Efficient Long-Time Integrator for Chandrasekhar Equations (with M. Stoyanov), in Proceedings of the 47th IEEE Conference on Decision and Control, Paper Number ThTA07.1 (2008).
  • Sensitivity Analysis-Based Reduced-Order Models for Flow Past an Elliptic Cylinder (with I. Akhtar, A. Hay and T. Iliescu), in Proceedings of the 47th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2009-0583 (2009).
  • An Improved Penalty Method for Power-Law Stokes Problems (with T. Iliescu and J.-P. Roop), Journal of Computational and Applied Mathematics, Vol. 223, No. 2, pages 646-658 (2009).
  • A Bounded Artificial Viscosity Large Eddy Simulation Model (with T. Iliescu and J.-P. Roop), SIAM Journal on Numerical Analysis, Vol. 47, No. 1, pages 622-645 (2009).

• Ezra Brown

• The fabulous (11,5,2) biplane, Mathematics Magazine 77 (2004), 87-100.
• Configurations with subset restrictions (with Theresa P. Vaughan), Journal of Combinatorial Mathematics and Combinatorial Computing 48 (2004), 197-215.
• The ancient world's magical genius thinks big, Math Horizons 12 (November 2004), 5-8.
• A conversation with Leonardo Pisano, Math Horizons 12 (February 2005), 16-18.
• Phoebe Floats, College Mathematics Journal 36 (2005), 114-122.
• Hyperelliptic curves with compact parameters (with Bruce Myers and Jerome Solinas), Designs, Codes and Cryptography 36 (2005), 245-261.
• A conversation with Lewis Carroll, Math Horizons 14 (November 2006), 9-11.
• What I Wish They'd Told Me: Notes from the Trenches of Academe, in Teaching Excellence at a Research University (E. Scott Geller and Philip K. Lehman, editors), Chapter 8 (pp.49-54), Pearson Custom Publishing, Boston, 2007.
• Whodunit?, Math Horizons 14 (April 2007), 25-26, 28-29.
• 1;22,7,42,33,4,40: Fibonacci's forgotten number (with Cornelius Brunson), College Mathematics Journal 39 (March 2008), pp. 112-120.
• Biscuits of Number Theory, a collection of expository articles on number theory, co-editor with Arthur Benjamin, Dolciani Mathematical Expositions #34, Mathematical Association of America, Washington DC, 2009. xiii+311 pp.
• A dozen problems about hats (with James Tanton), to appear in Math Horizons.
• Kirkman's schoolgirls walking through fields of numbers (with Keith Mellinger), to appear in Mathematics Magazine.
• Why Is PSL(2,7) ≅ GL(3,2)? (with Nicholas Loehr), to appear in American Mathematical Monthly.

• John Burns

• Computational Challenges in Control of Partial Differential Equations, (with Jeff Borggaard and Lizette Zietsman), Proc. High Performance Computing 2004, pp. 51-56.
• On Strong Convergence of Feedback Operators for Non-Normal Distributed Parameter Systems (with Jeff Borggaard, Eric Vugrin and Lizette Zietsman), 43rd IEEE Conference on Decision and Control, St. Thomas, VI, December, 2004, 6 pp.
• Finite Element Formulation for Static Control of a Thin Euler-Bernoulli Beam Using Piezoelectric Actuators (with Daniel Inman, Eric Ruggiero and John Singler), 42004 ASME International Mechanical Engineering Congress and Exposition, Anaheim, CA, November 2004, 6 pp.
• A Petrov-Galerkin Finite Element Method for Interface Problems Arising in Sensitivity Computations (with T. Lin and L .G. Stanley Journal of Mathematical and Computer Modeling,, to appear.
• Control System Radii and Robustness Under Approximation, (with Gunther H. Peichl), Robust Optimization-Directed Design, A. Kurdila, P. Pardalos and M. Zabarankin, Eds., Springer-Verlag, 2005, pp. 25-62.
• Sensitivity Analysis and Parameter Estimation for a Model of Chlamydia Trachomatis Infection, (with E. M. Cliff and S. Doughty), J. Inverse and Ill Posed Problems, to appear.
• Feedback Control of Low Dimensional Models of Transition to Turbulence, (with John Singler), 44th IEEE Conference on Decision and Control, Seville, Spain, December 2005, pp. 3140-3145.
• Modeling Transition: New Scenarios, System Sensitivity and Feedback Control, (with John Singler), Transition and Turbulence Control, M. Gad-el-Hak and H. M. Tsai, Eds., World Scientific Publishing, 2005, pp. 1-37.
• Sensitivity Computations for Elliptic Equations with Interfaces, (with D. Rubio and M. I. Troparevsky) , ), Proceedings ICNPAA-2006 Conference on Mathematical Problems in Engineering and Aerospace Sciences, to appear.
• Approximations and Mesh Independence for LQR Optimal Control, (with E. W. Sachs and L. Zietsman), 45th IEEE Conference on Decision and Control, San Diego, December 2006, pp. 81-86.
• Polynomial Stability of a Joint-Leg-Beam System with Local Damping, (with E. M. Cliff, Z. Liu and R. D. Spies), Journal of Mathematical and Computer Modeling, 46, 2007, 1236-1246.
• On Coupled Transversal and Axial Motions of Two Beams with a Joint, (with E. M. Cliff, Z. Liu and R. D. Spies), Journal of Mathematical Analysis and Applications, 339, 2008, 182-196.
• Results on Transversal and Axial Motions of Two Beams Coupled to a Joint Through two Legs, with E. M. Cliff, T. L. Herdman, Z. Liu and R. D. Spies), Proceedings ICNPAA-2006 Conference on Mathematical Problems in Engineering and Aerospace Sciences, to appear.
• Upwind Approximations for LQR Optimal Control, (with Lizette Zietsman), 46th IEEE Conference on Decision and Control, 2007, 219-224.
• On Coupled Transversal and Axial Motions of Two Beams with a Joint, (with E. M. Cliff, Z. Liu and R. D. Spies), Journal of Mathematical Analysis and Applications, 339 (2008) 182-196.
• Sensitivity Analysis and Computational Uncertainty with Applications to Control of Nonlinear Parabolic Partial Differential Equations, (with L. Davis) 47th IEEE Conference on Decision and Control, Cancun, Mexico, December 2008, 3989 - 3994.
• Model Based Computation of Functional Gains for Feedback Control of Vortex Shedding, (with I. Akhtar, J. Borggaard and L. Zietsman), in, Proceedings of 2008 ASME International Congress on Mechanical Engineering, Boston, MA, paper IMECE2008-68950, 1 - 7.
• Control and Bifurcation Under Uncertainty of Nonlinear Convection-Diffusion Equations, (with E. Allen and D. Gilliam), 47th IEEE Conference on Decision and Control, Cancun, Mexico, December 2008, 197 - 202.
• Control, Estimation and Optimization of Energy Efficient Buildings, (with J. Borggaard, A. Surana and L. Zietsman), 2009 American Control conference, to appear.

• Martin Day

  • On the Velocity Projection for Polyhedral Skorokhod Problems, Appl. Math. E-Notes, 5(2005), pp. 31-35, http://www.math.nthu.edu.tw/~amen/
  • Boundary-Influenced Robust Controls: Two Network Examples, ESAIM: Control, Optimisation and Calculus of Variations 12 (2006), pp. 662-698.
  • On Neumann type Boundary Conditions for Hamilton-Jacobi Equations in Smooth Domains, Applied Math. Optimization 53 (2006), pp. 359-381.
  • Fluid Limits of Optimally Controlled Queueing Networks (co-authored with Goudong Pang), Journal of Applied Mathematics and Stochastic Analysis Vol. 2007 (2007), Article ID 68958 (doi:10.1155/2007/68958), 19 pages.
  • Simple Singularities for Max-Concave Hamilton-Jacobi Equations and Generalized Characteristics (co-authored with A. A. Melikyan), Journal of Optimization Theory and Applications 138 (2008), pp. 155-174.
  • A uniqueness result for p-monotone viscosity solutions of Hamilton-Jacobi equations in bounded domains SIAM J. Control and Optimization 47 (2009), pp. 3167-3184.

• Eric de Sturler

  • Xin-Guang Zhu, Govindjee, Neil Baker, Eric de Sturler, Donald R. Ort, Stephen P. Long, Chlorophyll a fluorescence induction kinetics in leaves predicted from a model describing each discrete step ofexcitation energy and electron transfer associated with Photosystem II, Planta 223(1), pages 114-133. 2005.
  • Eric de Sturler and J. Liesen, Block-Diagonal and Constraint P reconditioners for Nonsymmetric Indefinite Linear Systems. Part I: Theory, SIAM Journal on Scientific Computing 26(5) (2005), pp. 1598-1619.
  • Chris Siefert and Eric de Sturler, Probing Methods for Saddle-Point Problems, i Electronic Transactions on Numerical Analysis (ETNA), Special volume on Saddle Point Problems: Numerical Solution and Applications, Vol. 22, pp. 163-183, 2006.
  • Hector Klie, Eric de Sturler, Mary Wheeler, Krylov-secant methods: an e effective way to recycle Krylov information for the solution of nonlinear equations, Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006, P. Wesseling, E. Onate, J. Periaux (Eds), 2006.
  • Misha Kilmer and Eric de Sturler, Recycling Subspace Information for Diffuse Optical Tomography, SIAM Journal on Scientific Computing, Vol. 27, No. 6, pp. 2140-2166, July 2006.
  • Chris Siefert and Eric de Sturler, Preconditioners for Generalized Saddle-Point Problems, SIAM Journal on Numerical Analysis, Vol. 44, No. 3, pp. 1275-1296, 2006.
  • Mike Parks, Eric de Sturler, Greg Mackey, Duane D. Johnson, and Spandan Maiti, Recycling Krylov Subspaces for Sequences of Linear Systems, SIAM Journal on Scientific Computing, Vol. 28, No. 5, pp. 1651-1674, 2006.
  • Shun Wang, Eric de Sturler, and Glaucio H. Paulino, Large-Scale Topology Optimization using Preconditioned Krylov Subspace Methods with Recycling, International Journal for Numerical Methods in Engineering, Vol. 69, Issue 12, pp. 2441-2468, 2007, DOI: 10.1002/nme.1798.
  • Xin-Guang Zhu, Eric de Sturler, Stephen Long, Optimizing the Distribution of Resources between Enzymes of Carbon Metabolism Can Dramatically Increase Photosynthetic Rate. A Numerical Simulation using an Evolutionary Algorithm, Plant Physiology, October 2007, Vol. 145, pp. 513-526, DOI:10.1104/pp.107.103713.
  • de Sturler, E., Ceperley, D.M., Ahuja, K., and Clark, B., Matrix Analysis Problems Arising in Fast Implementations of the Quantum Monte Carlo Method, Proceedings of the Householder Symposium XVII on Numerical Linear Algebra, Zeuthen, Germany, June 1-6, 2008.
  • de Sturler, E., Paulino, G.H., Wang, S., Topology Optimization with Adaptive Mesh Refinement, Proceedings of the 6th International Conference on Computation of Shell & Spatial Structures IASS-IACM 2008: "Spanning Nano to Mega", 28-31 May 2008, Cornell University, Ithaca, NY, USA, John F. Abel and J. Robert Cooke (eds.).
  • Mello, L.A.M., Paulino, G.H., de Sturler E., Da Silva, E.C.N., Large-scale Topology Optimization using Krylov Subspace Methods with Recycling Applied to Electrical Impedance Tomography, Proceedings of the 6th International Conference on Computation of Shell & Spatial Structures IASS-IACM 2008: "Spanning Nano to Mega', 28-31 May 2008, Cornell University, Ithaca, NY, USA, John F. Abel and J. Robert Cooke (eds.).
  • de Sturler, E., Fast Algorithms for Nonlinear Systems of Equations and Optimization, Proceedings 8th World Congress on Computational Mechanics and 5th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS - IACM, Venice, Italy, June 30 - July 4, 2008,
  • Xin-Guang Zhu, Eric de Sturler, Rafael Alba, and Stephen P. Long, A Simple Model of the Calvin Cycle Has Only One Physiologically Feasible Steady State under the Same External Conditions, Nonlinear Analysis Series B: Real World Applications, in press.
  • Shun Wang and Eric de Sturler, Multilevel Sparse Approximate Inverse Preconditioners for Adaptive Mesh Refinement, Linear Algebra and its Applications, to appear.

• Alexander Elgart

  • A. Elgart and B. Schlein, "Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians" Comm. Pure and Appl. Math. 57, 590 (2004).
  • J.E. Avron, A. Elgart, G.M. Graf, L. Sadun and K. Schnee, "Adiabatic charge pumping in open quantum systems" Comm. Pure and Appl. Math. 57, 528 (2004).
  • J.E. Avron, A. Elgart, G.M. Graf and L. Sadun, "Transport and Dissipation in Quantum Pumps" J. Stat. Phys., 116, 425 (2004).
  • A. Elgart, L. Erdos, B. Schlein and H-T. Yau, "Nonlinear Hartree equation as the mean field limit of weakly coupled fermions" J. Math. Pure Appl., 83, 1241 (2004).
  • A. Elgart, G.M. Graf and J. H. Schenker, "Equality of the bulk and edge Hall conductances in a mobility gap" Comm. Math. Phys., 259, 185, (2005).
  • A. Elgart, L. Erdos, B. Schlein and H-T. Yau,"Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons" Arch. Rat. Mech. Anal., 179, 265, (2006).
  • M. Aizenman, A. Elgart, S. Naboko, J. H. Schenker and G. Stolz, "Moment Analysis for Localization in Random Schrödinger Operatorss" Invent. Math., 163, 343, (2006).
  • A. Elgart and B. Schlein, "Mean Field Dynamics of Boson Stars" Comm. Pure and Appl. Math., 59, 1, (2006).
  • A. Elgart, "Lifshitz tails and localization in the three-dimensional Anderson model" Duke Math. J. 146, 331, (2009).

• William Floyd

  • J. W. Cannon, W. J. Floyd, and W. R. Parry, "Combinatorially regular polyomino tilings." Discrete Comput. Geom. 35 269-285 (2006)
  • J. W. Cannon, W. J. Floyd, and W. R. Parry, "Expansion complexes for finite subdivision rules I." Conform. Geom. Dyn. 10 63-99 (2006) (electronic)
  • J. W. Cannon, W. J. Floyd, and W. R. Parry, "Expansion complexes for finite subdivision rules II." Conform. Geom. Dyn. 10 326-354 (2006) (electronic)
  • J. W. Cannon, W. J. Floyd, and W. R. Parry, "Constructing subdivision rules from rational maps." Conform. Geom. Dyn. 11 128{136 (2007) (electronic)
  • W. Floyd, L. Kay, and M. Shapiro, "Some elementary properties of SIR networks or, Can I get sick because you got vaccinated?", Bull. Math. Biol. 70 713-727 (2008)
  • J. W. Cannon, W. J. Floyd, and W. R. Parry, "Squaring rectangles for dumbbells." Conform. Geom. Dyn. 12 109-132 (2008) (electronic)
  • J. W. Cannon, W. J. Floyd, and W. R. Parry, "Bitwist 3-manifolds." Algebr. Geom. Topol. 9 187-220 (2009) (electronic)

• David Gao

  • D.Y. Gao, Proceedings of IUTAM Symposium on Duality, Complementarity and Symmetry in Nonlinear Mechanics, Kluwer Academic Publishers, Boston/Dordrecht/London, 2004, lvii+389pp.
  • D.Y. Gao and K.L. Teo, Duality in Global Optimization and Control. Special issue of Journal of Global Optimization. 2004.
  • D.Y. Gao, Canonical duality theory and solutions to constrained nonconvex quadratic programming, Journal of Global Optimization, 29:377-399, 2004.
  • D.Y. Gao, Complementary variational principle, algorithm, and complete solutions to phase transitions in solids governed by Landau-Ginzburg equation, Mathematics and Mechanics of Solid, 9 :285-305, 2004.
  • D.Y. Gao, Canonical duality in nonsmooth, concave minimization with inequality constraints, to appear in Advances in Nonsmooth Mechanics, a special volume in honor of Professor J.J. Moreau's 80th birthday, P. Alart and O. Maisonneuve (eds), Kluwer, 2004.
  • D.Y. Gao, Multi-scale modeling and duality algorithm in phase transitions of ferroelectric materials, Proceedings of the 3rd International Conference on Computational Modelling and Simulation of Materials, Pietro Vincenzini (eds), 2004.
  • D.Y. Gao, Sufficient conditions and perfect duality in nonconvex minimization with inequality constraints, J. Industrial and Management Science, 1:59-69, 2005.
  • D.Y. Gao, Duality in distributed-parameter control of nonconvex and nonconservative dynamical systems with applications, Nonlinear Dynamics and Systems Theory, 6(3), 257-279, 2006.
  • D.Y. Gao, Complete solutions to a class of polynomial minimization problems, J. Global Optimization, 35, 131-143, 2006.
  • Gao, D.Y., Solutions and optimality criteria to box constrained nonconvex minimization problems, J. Industrial and Management Optimization. 3(2):293-304, 2007.
  • Gao, D.Y. and Sherali, H.D. (2007). Canonical duality: Connection between nonconvex mechanics and global optimization, in Advances in Mechanics and Mathematics, III, 249-316, Springer, 2007.
  • Gao, D.Y. and Yu, H.F. (2007). Multi-scale modelling and canonical dual finite element method in phase transitions of solids, Int. J. Solids Struct. 45 (2008) 3660-3673
  • Gao, D.Y. and Sherali, H.D. (2007), Preface to Complementarity, Duality, and Global Optimization, J. Global Optimization.
  • Gao, D.Y. and Sherali, H.D. (2007). Preface to Advances in Mechanics and Mathematics, III, a special volume dedicated to Professor G. Strang for his 70th Birthday, Springer, 2007.
  • Gao, D.Y., Solutions and optimality criteria to box constrained nonconvex minimization problems, J. Industrial and Management Optimization. 3(2):293-304, 2007.
  • Xuan, Zhaocheng Feng, Zhao-Sheng, and Gao, D.Y. (2007). FEM Approach for Complementary Bounds of Stress Intensity Factors in Bimaterials, Int. J. Nonlinear-Mechanics. 42 336-341
  • X. Wang, Z. Feng, L. Debnath and D.Y. Gao, Burgers-Korteweg-de Vries equation and it approximation, International Journal of Computer Mathematics,
  • Z. Feng and D.Y. Gao, A nonconvex dissipative system and its applications (II), Journal of Global Optimization 40 (4), 637 - 651, 2008.
  • Z.C. Xuan, Z. Feng and D.Y. Gao, Computing lower and upper bounds on stress intensity factors in bimaterials, International Journal of Nonlinear Mechanics, 42, (2007) 336-341.
  • Gao, D.Y. (2007). Understand and control chaos in dynamical systems: Canonical duality approach and triality theory, Proceedings of 9th Conference on Dynamical Systems-Theory and Applications. Vol. 1. J. Awrejcewicz (ed.), Springer, 21-64.
  • Wang, Z.B., Fang, S.-C., Gao, D.Y., and Xin, W.X. (2008). Global extremal conditions for multi-integer quadratic programming, J. Industrial and Management Optimization, 4(2), 213-226.
  • Gao, D.Y., Ruan, N., and Sherali, H.D., Solutions and optimality criteria for nonconvex constrained global optimization problems, to appear in Journal of Global Optimization
  • Fang, S.-C., Gao,D.Y., R.-L. Shue, and S.Y. Wu (2008) Canonical Dual Approach for Solving 0-1 Quadratic Programming Problems, J. Industrial and Management Optimization.4 (1), 125-142
  • Gao, D.Y. and Wei-Chi Yang (2008), Complete Solutions to Minimal Distance Problem between Two Nonconvex Surfaces, Optimization, Vol. 57(5), 705-714. DOI: 10.1080/02331930802355309.
  • Feng, Z.S. and Gao, D.Y. (2008) A nonconvex dissipative system and its applications, to appear in J.Global Optimization.
  • Gao, D.Y. and Ruan, N. (2008) Solutions and optimality criteria for nonconvex quadratic-exponential minimization problem, Math. Meth. Operations Research, 67 (3), 479-491.
  • Gao, D.Y. and Ogden, R.W. (2008) Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem, ZAMP, 59 (2008) 498-517
  • Gao, D.Y., and Ogden, R.W. (2008) Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation, Quarterly J. Mech. Appl. Math. 61 (4), 497-522.
  • Gao, D.Y. (2008). Advances in canonical duality theory with applications to global optimization, Proceedings of the Fifth International Conference on Foundations of Computer-Aided Process Operations (FOCAPO 2008), M. Ierapetriou, M. Bassett and S. Pistikopoulos (eds.), Omni Press, pp.73-82.
  • Gao, D.Y. and Sherali, H., Advances in Applied Mathematics and Global Optimization, Springer, 2009.
  • Gao, D.Y. and Sherali, H.D., Complementarity and Duality in Global Optimization. Special issue of Journal of Global Optimization. 2008.
  • Gao, D.Y. and Sherali, H.D. (2009). Canonical duality: Connection between nonconvex mechanics and global optimization, in Advances in Applied Mathematics and Global Optimization, 249-316, Springer, 2009.
  • Gao, D.Y., Ruan, N., and Sherali, H.D., Solutions and optimality criteria for nonconvex constrained global optimization problems, to appear in Journal of Global Optimization.
  • Gao, D.Y. and Sherali, H.D. (2009). Preface to Advances in Applied Mathematics and Global Optimization, a special volume dedicated to Professor G. Strang for his 70th Birthday, Springer, 2009.
  • Fang, S.-C., Gao, D.Y., Shue, R.L., and Xin, W.X., Global optimization for a class of fractional programming problems, to appear in Journal of Global Optimization
  • Feng, Z.S. and Gao, D.Y. (2009), Traveling wave solutions to a reaction-diffusion equation, to appear in ZAMP
  • Ruan, N., Gao,. D.Y., and Jiao, Y. (2009). Canonical dual least squares method for solving general nonlinear systems of quadratic equations, Comput Optim Appl DOI 10.1007/s10589-008-9222-5
  • Liu, J., Gao, D.Y., and Gao, Y (2009). Canonical duality for solving nonconvex and nonsmooth optimization problem, to appear in Optimization and Engineering.

• Edward Green

  • E.L. Green, N. Snashall, Projective bimodule resolutions of an algebra and vanishing of the second Hochschild cohomology group. Forum Math. 16 (2004), no 1, 17--36.
  • D.J. Benson, E.L. Green, Non-principal blocks with one simple module. Q.J. Math. 55 (2004), no. 1, 1--11.
  • C.G. Fernandes, Green, E.L., Mandel, A., From monomials to words to graphs. J. Combin. Theory Ser. A 105 (2004), no. 2, 185--206.
  • E.L. Green, E.N. Marcos, R. Martinez-Villa, P. Zhang, $D$-Koszul algebras. J. Pure Appl. Algebra 193 (2004), no. 1-3, 141--162.
  • Buchweitz, Ragnar; Green, Edward L.; Madsen, Dag; Solberg,Øvind; Finite Hochschild cohomology without finite global dimension, Math. Res. Lett., 12 (2005) 805-816.
  • Green, Edward L.; Hartman, Gregory; Marcos, Eduardo; Solberg, Øyvind; Resolutions over Koszul algebras, Archiv der Mathematik, vol. 85 (2005), no. 2, 118-127. Aquino, R. M.; Green, E. L. On modules with linear presentations over Koszul algebras. Comm. Algebra 33 (2005), no. 1, 19--36.
  • Green, Edward L. The work of Roberto Martinez-Villa. Algebraic structures and their representations, 49--59, Contemp. Math., 376, Amer. Math. Soc., Providence, RI, 2005.
  • Green, Edward L.; Marcos, Eduardo N. $\delta$-Koszul algebras. Comm. Algebra 33 (2005), no. 6, 1753--1764.
  • E.L. Green, The work of Roberto Martinez-Villa, Contemporary Mathematics, 376, (2005), 49-59.
  • Green, Edward L.; Hartman, Gregory; Marcos, Eduardo N.; Solberg, Øyvind Resolutions over Koszul algebras. Arch. Math. (Basel) 85 (2005), no. 2, 118--127.
  • Erdmann, Karin; Green, Edward L.; Snashall, Nicole; Taillefer, Rachel Representation theory of the Drinfeld doubles of a family of Hopf algebras. J. Pure Appl. Algebra 204 (2006), no. 2, 413--454.
  • Green, Edward L.; Zhang, Pu Rigids as iterated skew commutators of simples. Algebr. Represent. Theory 9 (2006), no. 6, 539--555
  • Green, Edward L.; Hartman, Gregory Full graphs and Koszul algebras. II. Comm. Algebra 34 (2006), no. 11, 4033--4054.
  • Green, Edward L.; Hartman, Gregory Full graphs and Koszul algebras. I. Comm. Algebra 34 (2006), no. 11, 4007-4032
  • Green, Edward L.; Snashall, Nicole The Hochschild cohomology ring modulo nilpotence of a stacked monomial algebra. Colloq. Math. 105 (2006), no. 2, 233--258.
  • Green, Edward L.; Snashall, Nicole; Solberg, Øyvvind The Hochschild cohomology ring modulo nilpotence of a monomial algebra. J. Algebra Appl. 5 (2006), no. 2, 153--192
  • Green, Edward L.; Snashall, Nicole Finite generation of Ext for a generalization of $D$-Koszul algebras. J. Algebra 295 (2006), no. 2, 458--472
  • Green, Edward L.; Zhang, Pu Rigids as iterated skew commutators of simples. Algebra Represent. Theory 9 (2006), no. 6, 539--555.
  • Green, E. L.; Martínez-Villa, R.; Yoshino, Y. On a group graded version of BGG. Comm. Algebra 35 (2007), no. 10, 3145--3163.
  • Green, Edward L.; Solberg, Øvind; An algorithmic approach to resolutions, J. Symbolic Computation, vol. 42, no. 11-12 (2007), 1012-1033, special issue: Non-commutative Grobner bases.
  • Buchweitz, Ragnar; Green, Edward L.; Snashall, Nicole; Solberg, Øvind; Multiplicative structures for Koszul algebras, Q. J. Math. 59 (2008), no. 4, 441--454
  • Green, Edward L.; Snashall, Nicole; Solberg, Øvind; Zacharia, Dan; Noetherianity and Ext, J. Pure and Applied Algebra, 212 (2008), no. 7, 1612--1625.
  • Green, Edward L.; Hunton, John Robert; Snashall, Nicole Coverings, the graded center and Hochschild cohomology. J. Pure Appl. Algebra 212 (2008), no. 12, 2691--2706.

• William Greenberg

  • Greenberg, W., "Stationary Kinetic Equations: Existence, Uniqueness and Representation of Solutions," Trends in Statistical Physics 4, 45-60 (2004).
  • Greenberg, W. and D. Song, "Spectral Properties of the Neutron Transport Equation for Spherical Geometry in the Setting of L1," Theory and Statistical Physics 34, 1-20. (2005).
  • Greenberg, W., "Models of Boltzmann-like Nonlinear Kinetic Equations for Moderately Dense Gases," in Proceedings del II Congreso International de Matematica Aplicada y Computacional (CIMAC II), D. Mauricio, ed., SPMAC, to appear.
  • Greenberg, W. and D. Song, "An Integrated Semigroup Approach to the Neutron Transport Equation for Slab Geometry with Reentry Boundary Conditions in L^∞," in Proceedings of the International Multidisciplinary Congress in Mathematics, Statistics and Operations Research, to appear.
  • Greenberg, W., "Kinetic Equations with Intermolecular Potentials: Avoiding the Boltzmann Assumption," in les Actes de IIIme Symposium Malien sur les Sciences Appliques (MSAS2004), F. Seydou, ed., ISBN 951-42-8026-1, Oulu University Press, Oulu, Finland, 2005, 45-50.
  • Williams, M. and W. Greenberg, "A High Volume Test Engine and Pedagogy for Computer Emporium Instruction," in les Actes de IIIme Symposium Malien sur les Sciences Appliques (MSAS2004), F. Seydou, ed., Oulu University Press, Oulu, Finland, 2005, 6 pp.
  • Greenberg, W. and M. Williams, "A Model for Computer-Assisted Lecture Courses in Mathematics," in Third International Conference on Education and Information Systems: Technologies and Applications, vol. 1, F. Malpica, F. Welsch, A. Tremante, J. Lawler, eds., Orlando, International Institute of Informatics and Systemics, 2005, pp. 26-31.
  • Greenberg, W. and P. Lei, "A Vlasov-Enskog Equation with Thermal Background in Gas Dynamics," in Differential and Difference Equations and Applications, R.P. Agarwal and K. Perera, eds., Hindawi Publ., New York, 2006, pp. 423-432.
  • Greenberg, W. and P. Lei, "A Cauchy Problem for an Enskog Equation with Attractive Tail and Fokker-Planck Scattering," to appear in Dynamics of Continuous, Discrete and Impulsive Systems, Series A,14, 255-266 (2007).
  • Lei, P. and W. Greenberg, "Nonlinear Kinetic Equations for Rigid Spheres with Weak Poisson Coupling and Diffusion," International Journal of Evolution Equations 1, 345 - 372 (2005).
  • Greenberg, W. and M. Williams, "Technology-Assisted University Instruction: Large Course Management," Journal of Systemics, Cybernetics and Informatics 4(6), 1-5 (2006).
  • Greenberg, W. and M. Williams, "Kinetic Equations on a Lattice with Nearest Neighbor Interaction: Discrete and Semi-Discrete Modeling," in Proceedings of International Conference in Mathematics and Applications ICMA-MU 2005, Y. Lenbury, ed., National Research Council, Bangkok, 2005, pp. 19 - 36.
  • Greenberg, W. and M. Williams, "Global Solutions of the Enskog Lattice Equation with Square Well Potential," CUBO Mathematics Journal 9(1), 13-26 (2007).
  • Greenberg, W. and M. Williams, "A New Algorithm for BLE (Boltzmann Lattice Equation) Numerics," in Actes du Troisième Symposium Malien sur les Sciences Appliquées (MSAS2006), F Seydou, ed., Oulu University Press, Oulu, Finland, 27-30 (2007)
  • Greenberg, W., "New Models, Existence Theorems, and Open Problems in thehe Kinetic Theory of Dense Gases," in Mathematical Modeling, Simulation, Visualization and E-learning, Springer Verlag, Berlin,2007, 17 - 32.
  • Greenberg, W. and D. Song, "L^p Interpolation of Planar Neutron Transport with Reentry Boundary Conditions," Dynamics of Continuous, Discrete and Impulsive Systems A,14(S2), 34 - 38 (2007).
  • Greenberg, W. and M. Williams, "New Pedagogical Models for Instruction in Mathematics," in Mathematical Modeling, Simulation, Visualization and E-learning, Springer Verlag, Berlin,2007, 361 - 371.
  • Greenberg, W. and M. Williams, "The Economics of Technology without Networking in University Academics," in Proceedings of Novatech 2008 ICT (Information and Communications Technology) Conference: ICT and Economy, J. Dhliwayo, ed., Novatech, Addis Ababa, 6 pp. (2008), on CD.

• Serkan Gugercin

  • S. Gugercin and A.C. Antoulas. A survey of model reduction by balanced truncation and some new results. International Journal of Control, Volume: 77 Issue: 8, pp. 748-766, 2004.
  • C.A. Beattie, S. Gugercin, A.C. Antoulas and E. Gildin, Controller reduction by Krylov projection methods. Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems 04, July 2004.
  • C.A. Beattie, S. Gugercin, A.C. Antoulas and E. Gildin, Krylov-based controller reduction. Proceedings of the 43rd IEEE Conference on Decision and Control, December 2004.
  • C.A. Beattie and S. Gugercin. Krylov-based model reduction of second-order systems with proportional damping. Proceedings of the 44th IEEE Conference on Decision and Control, December 2005.
  • S. Gugercin. An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems. Proceedings of the 44th IEEE Conference on Decision and Control, December 2005.
  • S. Gugercin and J.-R. Li. Smith-type methods for balanced truncation of large-sparse systems. Dimension Reduction of Large-scale Systems, P. Benner, G.H. Golub, V.L. Mehrman and D.C. Sorensen editors, Springer-Verlag, Lecture Notes in Computational Science and Engineering, Vol. 45 (ISBN 3-540-24545-6), Berlin/Heidelberg, 2005.
  • S. Gugercin and A.C. Antoulas, Model reduction of large scale systems by least squares, Linear Algebra and its Applications, Special Issue on Order Reduction of Large-Scale Systems, Vol. 415/2-3, pp. 290-321, 2006.
  • S. Gugercin, A. C. Antoulas and Christopher A. Beattie. A rational Krylov Iteration for Optimal H2 Model Reduction, Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, pp. 1665-1667, July 2006.
  • C.A. Beattie, J. Borggaard, S. Gugercin and T. Iliescu. A domain decomposition approach to POD. In Proc. 45th IEEE CDC, 2006.
  • C.A. Beattie and S. Gugercin. Inexact solves in Krylov-based model reduction. Proceedings of the 45th IEEE Conference on Decision and Control, pp. 3405-3411, December 2006.
  • C.A. Beattie and S. Gugercin. Krylov-based minimization for optimal H2 model reduction. Proceedings of the 46th IEEE Conference on Decision and Control, 2007.
  • S. Gugercin and K. Willcox, Krylov projection framework for Fourier model reduction. Automatica, Vol. 44, Issue: 1, pp. 209-215, 2008.
  • S. Gugercin, An iterative SVD-Krylov based algorithm for model reduction of large-scale dynamical systems. Linear Algebra and its Applications, Vol. 428, No: 8-9, pp. 1964-1986, 2008.
  • S. Gugercin, A.C. Antoulas and C.A. Beattie, H2 model reduction for large-scale linear dynamical systems. SIAM Journal on Matrix Analysis and Applications, Vol. 30, Issue: 2, pp. 609-938, 2008.
  • C.A. Beattie and Serkan Gugercin, Interpolatory Projection Methods for Structure-preserving Model Reduction, Systems and Control Letters, Vol. 58, Issue: 3, pp. 225-232, 2008.
  • C.A. Beattie and S. Gugercin. Interpolation Theory for Structure-preserving Model Reduction. Proceedings of the 47th IEEE Conference on Decision and Control, 2008.

• George Hagedorn

  • Hagedorn, G.A. and Joye, A.: Time Development of Exponentially Small Non-Adiabatic Transitions. Commun. Math. Phys. 250, 393-423 (2004).
  • Hagedorn, G.A. and Joye, A.: Determination of Non-Adiabatic Scattering Wave Functions in a Born-Oppenheimer Model. Ann. H. Poincaré 6, 937-990 (2005). Erratum 6, 1197-1199 (2005).
  • Hagedorn, G.A. and Toloza, J.H.: Exponentially Accurate Semiclassical Asymptotics of Low-Lying Eigenvalues for 2 x 2 Matrix Schroedinger Operators. J. Math. Anal. Appl. 312, 300-329 (2005).
  • Hagedorn, G.A., and Toloza, J.H.: Exponentially Accurate Quasimodes for the Time-Independent Born-Oppenheimer Approximation on a One-Dimensional Molecular System. Int. J. Quantum Chem. 105, 463-477 (2005).
  • Hagedorn, G.A., Rousse, V., and Jilcott, S.W.: The AC Stark Effect, Time-Dependent Born-Oppenheimer Approximation, and Franck-Condon Factors. Ann. H. Poincaré 7, 1065-1083 (2006).
  • Hagedorn, G.A. and Joye, A.: Mathematical Analysis of Born-Oppenheimer Approximations. Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday. Part I: Quantum Field Theory, Statistical Mechanics, and Non-relativistic Quantum Systems, ed. by F Gesztesy, P Deift, C Galvez, P Perry, and W. Schlag. Amer. Math. Soc. Proceedings of Symposia in Mathematics 76, part 1, 203-226 (2007).
  • Hagedorn, G.A. and Joye, A.: Recent Results on Non-Adiabatic Transitions in Quantum Mechanics. In Recent Advances in Differential Equations and Mathematical Physics. AMS Contemporary Mathematics Series. 412, Ed. by N. Chernov, Y. Karpeshina, I. Knowles, R. Lewis, and R. Weikard. 183-198 2006.
  • Hagedorn, G.A. and Joye, A.: A Mathematical Theory for Vibrational Levels Associates with Hydrogen Bonds I: The Symmetric Case. Commun. Math. Phys. 274, 691-715 (2007).
  • Hagedorn, G.A. and Joye, A.: Vibrational Levels Associated with Hydrogen Bonds and Semiclassical Hamiltonian Normal Forms. Adventures in Mathematical Physics: International Conference in Honor of Jean-Michel Combes on Transport and Spectral Problems in Quantum Mechanics, September 4-6, 2006, ed. by François Germinet and Peter Hislop. Amer. Math. Soc. Contemporary Mathematics. 447, 139-151, 2007.
  • Herman, M.S. and Hagedorn, G.A.: Does Møller-Plesset Perturbation Theory Converge? A Look at Two Electron Systems. Int. J. Quant. Chem. 109, 210-225 (2009).
  • Hagedorn, G.A. and Joye, A.: A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds II: The Non-Symmetric Case. Rev. Math. Phys. (to appear 2009)
  • Hughes, S.M. and Hagedorn, G.A.: Diatomic Molecules with Large Angular Momentum in the Born-Oppenhiemer Approximation. J. Phys. A: Math. Theor. 42, article 035305 (20pp) (2009).
  • Hagedorn, G.A. and Joye, A.: A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds. Few Body Systems (to appear 2009).

• Peter Haskell

  • (with J. Fox) The Atiyah-Patodi-Singer theorem for perturbed Dirac operators on evendimensional manifolds with bounded geometry, New York J. Math. 11 (2005), 303-332.
  • (with C. Wahl) K-homology classes of Dirac operators on smooth subsets of singular spaces, Rocky Mtn. J. Math, to appear.

• Terry Herdman

• Frechet Differentiability of the Solutions of a Semilinear Abstract Cauchy Problem, (with Ruben Spies), JMAA, Volume/Issue 307/2, 2005, pp. 656-676
• Approximations for a Class of Volterra Integro-Differential Equations, (with E. M. Cliff and H. Nguyen), Mathematical and Computer Modeling, to appear.
• Numerical approximations for a Class of Volterra Equations with Realizable Kernels, (with Hoan K. Nguyen), Journal of Integral Equations and Applications, Volume 18, Number 3, Fall 2006, pp 337-360.
Singularity Expansion for a Class of Neutral Equations, (with Yanzhao Cao, Graciela Cerezo, and Janos Turi), Journal of Integral Equations and Applications, Volume 19, Number 3, Spring 2007, pp. 13-32.
• Minimum Angular-Impulse Control for a Large Flexible Spacecraft, (with E. M. Cliff and Z. Y. Liu), Journal of Guidance and Control and Dynamics, Vol 30, Number 1, Jan.-Feb. 2007, pp. 87-99.
• Results on Transversal and Axial Motions of a System of Two Beams Coupled to a Joint through Two Legs, (with J. A. Burns, E. M. Cliff, Z. Y. Liu and R. D. Spies), ICNPAA 2006, Cambridge Scientific Publishers, Mathematical Problems in Engineering and Aerospace Sciences, Cambridge Scientific Publishers, p85-98.
• On the Numerical Solutions of Singular Integro-Differential Equations, (with Shihchung Chiang), World Congress in Computer Science, Computer Engineering and Applied Computing, WORLDCOMP'07, Regular Research Report, Las Vegas, June 2007.
• On Minimum Angular-Impulse Control for ISAT, (with E. M. Cliff and Z. Y. Liu), AIAA, to appear.
• Well Posedness and Exponential Stability of a Thermoelastic Joint-Leg-Beam System with Robin Boundary Conditions", with E. M. Cliff, B. I. Fulton, Z. Liu and R. Spies, Mathematical and Computer Modeling, to appear.
• Generalized Qualification and Qualification Levels for Spectral Regularization Methods, with R. D. Spies, and K. G. Temperini, JOTA, to appear.

• Traian Iliescu

  • "Backscatter in the Rational LES Model", (with P. Fischer), Computers and Fluids, vol. 33(5-6), 2004, pp. 783-790.
  • "Three-dimensional turbulent bottom density currents from a high-order nonhydrostatic spectral element model", (with T. Ozgokmen, P. Fischer, and J. Duan), J. Phys. Oceanogr., vol. 34(9), 2004, pp. 2006-2026.
  • "Entrainment in bottom gravity currents over complex topography from three-dimensional nonhydrostatic simulations", (with T. Ozgokmen, P. Fischer, and J. Duan), Geophys. Res. Letters vol. 31(13), L13212, 2004.
  • "Genuinely Nonlinear Models for Convection-Dominated Problems", Comput. Math. Appl., vol. 48, 2004, pp. 1677-1692.
  • "Enstrophy and ergodicity of gravity currents", (with V.P. Bongolan-Walsh, J. Duan, H. Go, T. Ozgokmen, and P.F. Fischer), Volumes in Mathematics and its Applications on SPDEs, vol. 140 - Probability and Partial Differential i Equations in Modern Applied Mathematics, eds: J. Duan and E.C. Waymire, Springer-Verlag, New York, pp. 61-74, 2005.
  • "Comparison of Numerical Noise in Design Objectives using LES and Turbulence Models", (with J.Borggaard, D. Pelletier and K. Vugrin), in Proceedings of the 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2004.
  • "Mathematics of Large Eddy Simulation of Turbulent Flows", (with L.C. Berselli and W.J.Layton), Springer Verlag, 2005.
  • "Approximate Deconvolution Boundary Conditions for Large Eddy Simulation", (with J. Borggaard), Appl. Math. Letters, vol. 19(8), 2006, pp. 735-740.
  • 6. "A Domain Decomposition Approach to POD", (with C. Beattie, J. Borggaard, and S. Gugercin), 45th IEEE Conference on Decision and Control, 2006.
  • "A numerical investigation of the boundary commutation error in large eddy simulation" (with J. Borggaard), Proceedings of ECCOMAS CFD, 2006.
  • "Large Eddy Simulation of Stratified Mixing in Two-Dimensional Dam-Break Problem in a Rectangular Enclosed Domain", (with T. Ozgokmen, P. Fischer, A. Srinivasan, and J. Duan), Ocean Modelling, vol. 16, 2007, pp. 106-140.
  • "Impact of Boundary Conditions on Entrainment and Transport in Gravity Currents", (with V. P. Bongolan-Walsh, J. Duan, P. Fischer, and T. Ozgokmen), Appl. Math. Modelling, vol. 31(7), 2007, pp. 1338-1350.
  • "A Two-Level Numerical Discretization of the Smagorinsky Model," (with J. Borggaard, H. Lee, J. P. Roop, and H. Son), SIAM Journal on Multiscale Modeling and Simulation, vol. 7(2), 2008, pp. 599-621.
  • "Reduced-Order Modeling of Turbulent Flows," (with J. Borggaard, A. Duggleby, A. Hay, and Z. Wang), Proceedings of MTNS 2008.
  • "Numerical Approximation of the Smagorinsky Model by a Two-Level Method," (with J. Borggaard, H. Lee, J. P. Roop, and H. Son), Proceedings of ICIAM07.
  • "Sensitivity Analysis-Based Reduced-Order Models for Flow Past an Elliptic Cylinder," (with I. Akhtar, J. Borggaard, and A. Hay), Proceedings of the 47th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2009-0583.
  • "Large Eddy Simulation of Stratified Mixing in a Three-Dimensional Lock-Exchange System," (with T. Ozgokmen and P. Fischer), to appear in Ocean Modelling.
  • "A Bounded Artificial Viscosity Large Eddy Simulation Model", (with J. Borggaard and J. P. Roop), to appear in SIAM J. Num. Anal..
  • "An Improvement in the Penalty Method for the Power-Law Stokes Problems," (with J. Borggaard and J. P. Roop), to appear in J. Comput. Appl. Math..

• Jong Kim

  • Kim, J., Approximate controllability of a stochastic wave equation, Applied Math. & Optim., Vol.49, 2004, pp. 81 - 98
  • 37) Kim, J., Periodic and invariant measures for stochastic wave equations, Electronic J. Differential Equations, 2004, No.05, 30 pages
  • Kim, J., On a stochastic hyperbolic integro-differential equations, Journal of Differential Equations, Vol.201, 2004, pp.201 - 233
  • Kim, J., Invariant measures for the stochastic von Karman equation, SIAM J. Math. Analysis, Vol.36, 2005, pp.1689 - 1703
  • Kim, J.U., On the stochastic Benjamin-Ono equation, Journal of Differential Equations, Vol.228, No.2, 2006, pp.737 - 768
  • Kim, J.U., On the stochastic Burgers equation with a polynomial nonlinearity in the real line , Stochastic Dynamics, special issue of Discrete and Continuous Dynamical Systems B., Vol.6, No.4, 2006, pp. 835 - 866
  • Kim, J.U, A on-dimensional wave equation with white noise boundary condition, Applied Math. & Optimization, Vol.54, No.2, 2006, pp.237 - 261
  • Kim, J.U., On a stochastic wave equation with unilateral boundary conditions, Trans. Amer. Math. Soc., Vo.360, No.2, 2008, pp.575 - 607.
  • Kim, J.U., On the stochastic wave equation with nonlinear damping, Applied Mathematics and Optimization, Vol.58, no.1, 2008, pp.29 - 67
  • Kim, J.U., Martingale solutions of a stochastic wave equation with reflection, Journal of Functional Analysis, Vol.254, no.9, 2008, pp.2457 - 2469

• Martin Klaus

  • Editorship: (with J. Ball, W. Helton, and L. Rodman) Current Trends in Operator Theory and its Applications, OT 149. Birkhauser 2004.
  • Klaus M., On the Zakharov-Shabat eigenvalue problem, AMS Contemporary Mathematics series: Mathematical studies in nonlinear wave propagation, 379 (2005) 21-45.
  • Goodman R., Klaus M., Slusher A., Weinstein M., Trapping light with grating defects, AMS Contemporary Mathematics series: Mathematical studies in nonlinear wave propagation, 379 (2005) 83-92.
  • Klaus M., Remarks on the eigenvalues of the Manakov system. Proceedings of the IMACS, Conference on Nonlinear Wave Equations. Mathematics and Computers in Simulation, 69 (2005) 356-367.
  • Klaus M., Pelinovsky D., Rothos V., Evans function for Lax operators with algebraically decaying potentials. Journ. of nonlinear science, Issue: Online First, 36 pages (October 2005).
  • Klaus M. and Mityagin B., Coupling constant behavior of eigenvalues of Zakharov-Shabat systems, Journ. Math. Physics, 48 (2007) 123502.

• Werner Kohler

• Magnetotellurics in Locally-Layered Random Media, by Benjamin S. White and Werner E. Kohler, Methods and Applications of Analysis, vol. 11, pp. 493-514, December 2004.
• Elementary Differential Equations,, by Werner Kohler and Lee Johnson, Addison-Wesley (2002).
• Elementary Differential Equations, 2nd Edition, by Werner Kohler and Lee Johnson, Addison-Wesley (2005).
• Elementary Differential Equations with Boundary Value Problems, 2nd Edition, by Werner Kohler and Lee Johnson, Addison-Wesley (2005)

• Reinhard Laubenbacher

• N. F. Polys, D. A. Bowman, C. North, R. Laubenbacher, and K. Duca, PathSim Visualizer: an information rich virtual environment framework for systems biology, Proc. SIGGRAPH Web3D Session, Los Angeles, 2004.
• R. Laubenbacher and B. Stigler, A computational algebra approach to the reverse-engineering of gene regulatory networks, J. Theor. Biol. 2004; 229:523-537.
• A. Jarrah, R. Laubenbacher, Generic Cohen-Macaulay monomial ideals. Ann. Comb. 2004; 8: 45-61.
• A. Jarrah, H. Vastani, K. Duca, and R. Laubenbacher, An optimal control problem for in vitro virus competition, Proc. Of the 43rd IEEE Conference on Decision and Control, Bahamas, Dec. 2004.
• O. Colon-Reyes, R. Laubenbacher, B. Pareigis, Boolean Monomial Dynamical Systems, Annals of Combinatorics 2004; 8: 425-439.
• E. Babson, H. Barcelo, M. de Longueville, and R. Laubenbacher, Homotopy theory of graphs, J. Alg. Comb. 2006; 24:31-44.
• L. Garcia, A. S. Jarrah, and R. Laubenbacher, Sequential dynamical systems over words, Applied Math and Comp. 2006; 174:500-510.
• R. Laubenbacher, B. Pareigis, Update schedules of sequential dynamical systems, Discrete Applied Mathematics 2006; 154:980-994.
• O. Colon-Reyes, A. Jarrah, R. Laubenbacher, and B. Sturmfels, Fixed points of monomial dynamical systems over finite fields, Complex Systems 2006 16:333-342.
• V. Choi, Y. Huang, V. Lam, D. Potter, R. Laubenbacher, and K. Duca, Using formal concept analysis for microarray data comparison, 5th Asia-Pacific Biocomputing Conference, 2006.
• R. Laubenbacher and P. Mendes, A discrete approach to top-down modeling of biochemical networks, book chapter in Computational Systems Biology, R. Eils and L. Kriete (eds.), Elsevier, 2006.
• A. Jarrah, R. Laubenbacher, B. Stigler, and M. Stillman, Reverse-engineering polynomial dynamical systems, Adv. In Appl. Math.2007; 39:477¿489.
• F. Castiglione, K.A. Duca , A.S. Jarrah, R. Laubenbacher, D. Hochberg, D.A. Thorley -Lawson, Simulating Epstein-Barr virus infection with C-ImmSim, Bioinformatics 2007; 23 (11): 1371-1377.
• K.Duca, M.Shapiro, E.Delgado-Eckert, V. Hadinoto, A. Jarrah, R. Laubenbacher & D.A. Thorley-Lawson. A Virtual Look at Epstein-arr Virus Infection: Biological Interpretations. PLoS Pathog 2007; 3(10): 1388-400.
• E. Dimitrova, A. Jarrah, B. Stigler, and R. Laubenbacher. A Groebner Fanbased Method for Biochemical Network in Proceedings of ISSAC'2007, ACM Press, pp.122-126
• B. Stigler, A. Jarrah, M. Stillman, and R. Laubenbacher R. Reverse-Engineering of Dynamic Networks, Annals of the New York Academy of Sciences. 2007; Vol. 1115, 168-177.
• A. Jarrah, B. Raposa and R. Laubenbacher. Nested Canalyzing, Unate Cascade, and Polynomial Functions. Physica D: Nonlinear, 2007; Vol. 233 (2), 167-174.
• A. Jarrah and R. Laubenbacher. Discrete Models of Biochemical Networks: The Toric Variety of Nested Canalyzing Functions, Proc. of the Second Intl.Conf. o n Algebraic Biology, 2007; LNCS 4545, pp. 15-22.
• D. Camacho , P. Vera-Licona, P. Mendes, and R. Laubenbacher. Comparison of reverse engineering methods using an in silico network. Annals of the New York Academy of Sciences, 2007; 1115:73-89.
• A. Knoebel, R. Laubenbacher, J . Lodder and D. Pengelley, Mathematical Masterpieces . Undergraduate Texts in Mathematics. Readings in Mathematics. Springer-Verlag, New York , 2007.
• R. Laubenbacher (ed.), Modeling and simulation of biological networks, Symposia in Pure and Applied Mathematics, Amer. Math. Soc., 2007.
• R. Laubenbacher and B. Stigler, Design of experiments and biochemical network inference, in Algebraic and Geometric Methods in Statistics, P. Gibilisco, E. Riccomagno, M.-P. Rogantin, H. P. Wynn (eds.), Cambridge University Press, 2007, in press.
• M. Shapiro, K. Duca, E. Delgado-Eckert, V. Hadinoto, Jarrah A., R. Laubenbacher, K. Lee, N. Polys, and D. Thorley-Lawson (2008). A Virtual Look at Epstein-Barr Virus Infection: Simulation Mechanism. Journal of Theoretical Biology. Feb 16 [Epub ahead of print] PMID: 18371986.
• A. Martins, P. Vera-Licona, and R. Laubenbacher. `Model your genes the mathematical way' - a mathematical biology workshop for secondary school teachers, Teaching Mathematics and its Applications 2008; 27: 91-101.
• V. Choi, Y. Huang, V. Lam, D. Potter, R. Laubenbacher, and K. Duca, (2008). Using formal concept analysis for microarray data comparison, Journal of Bioinformatics and Computational Biology 6 (1). PMID: 18324746.
• V. G. Romanovski, A. S. Jarrah, and R. Laubenbacher. The Cyclicity Problem for Two-dimensional Polynomial Systems, Differential Equations and Control Processes 2008; (Electronic journal, ISSN 1817-2172, http://gamma.niimm.spb.su/diffjournal/j/RU/numbers/2008.2/article.74.html)
• P. V. Licona and R. Laubenbacher, Inference of ecological interaction networks, Annales Zoologici Fennici, 2008; 45: 459-464.
• E. Sontag, A. Veliz-Cuba, R. Laubenbacher, and A. Jarrah . (2008). The effect of negative feedback loops on the dynamics of Boolean network ks. Biophysical Journal, Jul;95(2):518-26. Epub ahead of printing March 28. PMID: 18375509.
• A. Jarrah and R. Laubenbacher, Finite dynamical systems: a mathematical framework for computer simulation, in Mathematical Modeling, Simulation, Visualization and e-Learning. D. Konate (ed.) Springer: 2008.
• A. Jarrah, R. Laubenbacher. On the Algebraic Geometry of Polynomial Dynamical Systems. Emerging Applications of Algebraic Geometry, S. Sullivant and M. Putinar (ed.), IMA Volume. Springer. 2008.
• R. Laubenbacher and B. Sturmfels, Computeralgebra in der Systembiologie, Computeralgebra Rundbrief: Sonderheft, 2008, April, 62-66.
• R. Laubenbacher, Jarrah A., H. S. Mortveit, and S. S. Ravi. The mathematics of agent-based modeling formalisms. Encyclopedia of Complexity and System Science. Springer, 2008, in press.
• R. Laubenbacher and B. Sturmfels, Computeralgebra in der Systembiologie (reprint), Informatik-Spektrum, 2009; 32 (1): 27-32.
• A. Martins, P. Vera-Licona, and R. Laubenbacher, Computational Systems Biology: Discrete Models of Gene Regulation Networks, in Undergraduate Mathematics for the Life Sciences: Processes, Models, and Directions. Mathematical Association of America, Note Volume, 2008, in press.
• R. Laubenbacher and B. Sturmfels, Computer algebra in systems biology, The American Mathematical Monthly, in press.
• V. Hower, P. Mendes, F. M. Torti, R. Laubenbacher, S. Akman, V. Shulaev, and S. V. Torti, A General Map of Iron Metabolism and Tissue-specific Subnetworks, Molecular Biosystems, in press.

• Tao Lin

• Z. Li, T. Lin, Y. Lin, R. Rogers, An Immersed Finite Element Space and Its Approximation Capability, Numerical Methods for Partial Differential Equations, 20(2004), pp. 338-367.
• L. Liu, T. Liu, M. Krizek, T. Lin and S. Zhang, Global Superconvergence and A Posterior Error Estimators of The Finite Element Method for a Quasi-Linear Elliptic Boundary Value Problem of Nonmonotone Type, SIAM Journal on Numerical Analysis, 42(2004), No. 4, 1729-1744.
• Burns, T. Lin, and L. Stanley, A Petrov-Galerkin Finite Element Method for Interface Problems Arising in Sensitivity Computations, Mathematical and Computer Modeling, 49(2005), 1889-1903.
• R. Kafafy, T. Lin, Y. Lin, and J. Wang, 3-D immersed finite element methods for electric field simulation in composite materials, International Journal for Numerical Methods in Engineering, 2005, 64:940-972.
• R. Kafay, T. Lin, and J. Wang, A hybrid-grid immersed-finite-element particle-incell simulation model of ion optics plasma dynamics, Dynamics of Continuous, Discrete and Impulsive Systems, Series B-Applications & Algorithms, 12: 103-118, Suppl. S. 2005.
• Camp, T. Lin, Y. Lin, W-W. Sun, Quadratic Immersed Finite Element Spaces and Their Approximation Capabilities, Advances in Computational, (2006)24: 81-112.
• Adjerid, S. and Lin, T., (2007), Higher-order immersed discontinuous Galerkin methods, International Journal of Information & Systems Sciences, 3, 555-569.
• Lin, T., Lin, Y., and Sun, W.-W., (2007), Error Estimation of a Class of Quadratic Immersed Finite Element Methods for Elliptic Interface Problems, Discrete and Continuous Dynamical System, Series B, 8, 757-780.
• He, X., Lin, T., and Lin, Y., (2007), Approximation capability of a bilinear immersed finite element space, Numerical Methods for Partial Differential Equations 24, 1265-1300.
• He, X., Lin, T., and Lin, Y., A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient, Communications in Computational Physics (to appear).
• Adjerid, S. and Lin, T., p-th degree immersed finite element for boundary value problems with discontinuous coefficients, Journal of Applied Numerical Mathematics (to appear).

• Peter Linnell

• Peter A. Linnell. Noncommutative localization in group rings. In Noncommutative localization in algebra and topology, volume 330 of London Math. Soc. Lecture Note Ser., pages 40-59. Cambridge Univ. Press, Cambridge, 2006.
• Peter A. Linnell, Gena Puninski, and Patrick Smith. Idempotent ideals and non- finitely generated projective modules over integral group rings of polycyclic-by-finite groups. J. Algebra, 305(2):845-858, 2006.
• Daniel R. Farkas and Peter A. Linnell. Congruence subgroups and the Atiyah conjecture. In Groups, Rings and Algebras, volume 420 of Contemp. Math., pages 89-102. Amer. Math. Soc., Providence, RI, 2006.
• Peter A. Linnell, Wolfgang Lück, and Thomas Schick. Groups of small homological dimension and the Atiyah conjecture. Durham LMS 2003 conference proceedings, on geometry and topology in group theory, to appear.
• Warren Dicks and Peter A. Linnell. L2-Betti numbers of one-relator groups. Math. Ann., 337(4):855-874, 2007.
• Peter A. Linnell and Thomas Schick. Finite group extensions and the Atiyah conjecture. J. Amer. Math. Soc., 20(4):1003-1051 (electronic), 2007.
• Peter A. Linnell, Akbar H. Rhemtulla, and Dale P. O. Rolfsen. Invariant group orderings and Galois conjugates. J. Algebra, 319(12):4891-4898, 2008.
• Karl W. Gruenberg and Peter A. Linnell. Generation gaps and abelianized defects of free products. J. Group Theory, 11(5):587-608, 2008.
• Peter A. Linnell. l^p-homology of one-relator groups. Enseign. Math. (2), 54(1-2):141-143, 2008.
• Peter A. Linnell. Embedding group algebras into finite von Neumann regular rings. Brzezinski, Tomasz (ed.) et al., Modules and comodules. Proceedings of the international conference, Porto, Portugal, September 6-8, 2006. Dedicated to Robert Wisbauer on the occasion of his 65th birthday. Basel: Birkhäuser. Trends in Mathematics, 295-300 (2008)., 2008.
• Inga Blomer, Peter A. Linnell, and Thomas Schick. Galois cohomology of completed link groups. Proc. Amer. Math. Soc., 136(10):3449-3459, 2008.
• Peter A. Linnell and Thomas Schick. The Atiyah conjecture and Artinian rings. To appear in the proceedings of the Morelia conference in honor of Farrell-Jones.

• Gwendolyn Lloyd

  • Spielman, L.J., & Lloyd, G.M. (2004). The impact of enacted mathematics curriculum models on prospective elementary teachers' course perceptions and beliefs. School Science and Mathematics, 104(1), 32-44.
  • Behm, S. L., Lloyd, G. M., Spielman, L. J. (2004). Curriculum negotiation and the implementation of conceptually different materials. In D. E. McDougall & J. A. Ross (Eds.), Proceedings of the 26th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (vol. 3, pp. 1300-1301). Toronto: OISE/UT.
  • Lloyd, G. M., & Herbel-Eisenmann, B. A. (2004). Standards-based curriculum materials and teachers. In D. E. McDougall & J. A. Ross (Eds.), Proceedings of the 26th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (vol. 3, pp. 1285-1286). Toronto: OISE/UT.
  • Lloyd, G. M. (2004). Mathematical authority in preservice elementary teachers' experiences with Standards-based curriculum materials. In D. E. McDougall & J. A. Ross (Eds.), Proceedings of the 26th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (vol. 3, pp. 1245-1252). Toronto: OISE/UT.
  • Lloyd, G. M., & Behm, S. L., (2005) Preservice elementary teachers' analysis of mathematics instructional materials, Action in Teacher Education, 26(4), 48-62.
  • Lloyd, G. M. (2005). Beliefs about the teacher's role in the mathematics classroom: One student teacher's explorations in fiction and in practice. Journal of Mathematics Teacher Education, 8(6), 441-467.
  • Lloyd, G. M., Herbel-Eisenmann, B. A., & Remillard, J. T. (2005). Researching teachers' use of mathematics curriculum materials: Advancing the research agenda. In G. M. Lloyd, M. Wilson, J. L. M. Wilkins, & S. L. Behm (Eds.), Proceedings of the 27th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education [CDROM]. Eugene, OR: All Academic.
  • Behm, S. L., & Lloyd, G. M. (2005). The issue of flexibility in one student teacher's use of mandated curriculum materials and other instructional resources. In G. M. Lloyd, M. Wilson, J. L. M. Wilkins, & S. L. Behm (Eds.), Proceedings of the 27th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education [CD-ROM]. Eugene, OR: All Academic.
  • Spielman, L. J., & Lloyd, G. M. (2005). Contextualizing "mathematics" in elementary teacher education. In G. M. Lloyd, M. Wilson, J. L. M. Wilkins, & S. L. Behm (Eds.), Proceedings of the 27th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education [CD-ROM]. Eugene, OR: All Academic.
  • Lloyd, G. M. (2006). Using K-12 mathematics curriculum materials in preservice teacher education: Rationale, strategies, and teachers’ experiences. In K. Lynch-Davis, & R. L. Rider (Eds.), The work of mathematics teacher educators: Continuing the conversation (vol. 3, AMTE monograph series, pp. 11-27). San Diego, CA: Association of Mathematics Teacher Educators.
  • Lloyd, G. M. (2006). Preservice teachers' stories of mathematics classrooms: Explorations of practice through fictional accounts. Educational Studies in Mathematics, 63(1), 57-87.
  • Lloyd, G. M. (2006). Using K-12 mathematics curriculum materials in preservice teacher education: Rationale, strategies, and teachers' experiences. In K. Lynch-Davis, & R. L. Rider (Eds.), The work of mathematics teacher educators: Continuing the conversation (vol. 3, AMTE monograph series, pp. 11-27). San Diego, CA: Association of Mathematics Teacher Educators.
  • Lloyd, G. M. (2007). Strategic compromise: A student teacher's design of kindergarten mathematics instruction in a high-stakes testing climate. Journal of Teacher Education, 58(4), 328-347.
  • Lloyd, G. M. (2007). The challenges of preparing future teachers of K-12 mathematics. In E. S. Geller (Ed.), Teaching excellence at a research-centered university: Energy, empathy, and engagement in the classroom (pp. 155-159). Upper Saddle River, NJ: Pearson.
  • Lloyd, G. M. (2008). Curriculum use while learning to teach: One student teachers appropriation of mathematics curriculum materials. Journal for Research in Mathematics Education, 39(1), 63-94.
  • Behm, S. L., & Lloyd, G. M. (2008). Factors influencing student teachers' interactions with mathematics curriculum materials. In J. T. Remillard, B. A. Herbel-Eisenmann, & G. M. Lloyd (Eds.), Perspectives on teachers use of mathematics curriculum materials (Studies in Mathematical Thinking and Learning Series, A. Schoenfeld, Ed.). New York: Routledge.
  • Lloyd, G. M., Remillard, J. T., & Herbel-Eisenmann, B. A. (2008). Teachers' use of curriculum materials: An emerging field. In J. T. Remillard, B. A. Herbel-Eisenmann, & G. M. Lloyd (Eds.), Perspectives on teachers use of mathematics curriculum materials (Studies in Mathematical Thinking and Learning Series, A. Schoenfeld, Ed.). New York: Routledge.
  • Cooney, T. J., Beckmann, S., & Lloyd, G. M. (2008). Understanding functions (For teachers of grades 9-12 mathematics, Essential Understandings Series, R. Zbiek, Ed.). Reston, VA: National Council of Teachers of Mathematics.
  • Remillard, J. T., Herbel-Eisenmann, B. A., & Lloyd, G. M. (Eds.). (2008, anticipated publication date). Perspectives on teachers use of mathematics curriculum materials (Studies in Mathematical Thinking and Learning Series, A. Schoenfeld, Ed.). New York: Routledge.
  • Lloyd, G. M. (2008). Teaching high school mathematics with a new curriculum: Changes to classroom organization and interactions. Mathematical Thinking and Learning, 10, 163-195.
  • Reys, B. J., Lloyd, G. M., Marrongelle, K., & Winsor, M. (2008). Induction of doctoral graduates in mathematics education into the profession. In R. Reys & J. Dossey (Eds .), U. S. Doctorates in Mathematics Education: Developing Stewards of the Discipline (CBMS Issues in Mathematics Education, vol. 15, pp. 169-176). Washington, DC: American Mathematical Society / Mathematical Association of America.
  • Behm, S. L., & Lloyd, G. M. (2009). Factors influencing student teachers¿ interactions with mathematics curriculum materials. In J. T. Remillard, B. A. Herbel-Eisenmann , & G. M. Lloyd (Eds.), Mathematics teachers at work: Connecting curriculum materials and classroom instruction (Studies in Mathematical Thinking and Learning Series, A. Schoenfeld, i Ed.) (pp . 205-222). New York: Routledge.
  • Lloyd, G. M., Remillard, J. T., & Herbel-Eisenmann, B. A. (2009). Teachers¿ use of curriculum materials: An emerging field . In J. T. Remillard, B. A. Herbel-Eisenmann, & G. M. Lloyd (Eds .), Mathematics teachers at work: Connecting curriculum materials and classroom instruction (Studies in Mathematical Thinking and Learning Series , A. Schoenfeld , Ed.) (pp . 3-14). New York: Routledge.
  • Lloyd, G. M., & Pitts Bannister, V. R. (to appear 2010). Secondary curriculum materials as tools for teacher learning. In R. Reys & B. Reys (Eds.), K-12 M athematics Curriculum: Issues, Trends and Future Directions (NCTM 72nd Yearbook). Reston, VA: National Council of Teachers of Mathematics.
  • Remillard, J. T., Herbel-Eisen mann, B. A., & Lloyd, G. M. (Eds .). (2009). Mathematics teachers at work: Connecting curriculum materials and classroom instruction (Studies in Mathematical Thinking and Learning Series, A. Schoen feld, Ed .). New York: Routledge.
  • Cooney, T. J ., Beckmann, S., & Lloyd, G. M. (2009). Understanding functions (For teachers of grades 9-12 mathematics , Essential Understandings Series, R. Zbiek , Ed.). Reston, VA: National Council of Teach ers of Mathematics.

• Nicholas Loehr

  • "Note on André's reflection principle," Discrete Math. 280 (2004), 233-236.
  • (with L. Heath) "New algorithms for generating Conway polynomials over finite fields," J. Symbolic Comput. 38 (2004), 1003-1024.
  • (with J. Remmel) "Conjectured combinatorial models for the Hilbert series of generalized diagonal harmonics modules," Electron. J. Combin. 11 (2004) research paper R68; 64 pages (electronic).
  • (with G. Warrington and H. Wilf) "The combinatorics of a three-line circulant determinant," Israel J. Math. 143 (2004), 141-156.
  • "Permutation statistics and the q; t-Catalan sequence," European J. Combin. 26 (2005), 83-93.
  • "Combinatorics of q; t-parking functions," Adv. in Appl. Math. 34 (2005), 408-425.
  • (with J. Haglund, M. Haiman, J. Remmel, and A. Ulyanov) "A combinatorial formula for the character of the diagonal coinvariants," Duke Math. J. 126 (2005), 195-232.
  • "Conjectured statistics for the higher q; t-Catalan sequences," Electron. J. Combin. 12 (2005) research paper R9; 54 pages (electronic).
  • (with J. Haglund and M. Haiman) "Combinatorial theory of Macdonald polynomials I: Proof of Haglund's formula," Proc. Natl. Acad. Sci. USA 102 #8 (2005), 2690-2696+cover illustration.
  • (with J. Haglund and J. Remmel) "Statistics on wreath products, perfect matchings, and signed words," European J. Combin. 26 (2005), 835-868.
  • (with J. Haglund and M. Haiman) "A combinatorial formula for Macdonald polynomials," J. Amer. Math. Soc. 18 (2005), 735-761.
  • (with J. Haglund) "A conjectured combinatorial formula for the Hilbert series for diagonal harmonics," Discrete Math. 298 (2005), 189-204.
  • (with A. Mendes) "Bijective matrix algebra," Linear Algebra Appl. 416 (2006), 917-944.
  • (with M. Can) "A proof of the q, t-square conjecture," J. Combin. Theory Ser. A 113 (2006), 1419-1434.
  • (with G. Warrington) Square q, t-lattice paths and (pn), Trans. Amer. Math. Soc. 359 (2007), 649669.
  • The major index specialization of the q, t-Catalan, Ars Combin. 83 (2007), 145160.
  • A direct proof that row rank equals column rank, College Math. J. 38 (2007), 300-301.
  • (with B. Sagan and G. Warrington) A human proof for a generalization of Shalosh B. Ekhads 10ⁿ Lattice Paths Theorem, Ars. Combin. 89 (2008), 421-429.
  • (with J. Haglund and M. Haiman) A combinatorial formula for non-symmetric Macdonald polynomials, Amer. J. Math. 130 (2008), 359-383.
  • (with G.Warrington) Nested quantum Dyck paths and ∇(s_λ), Intl. Math. Research Notices 2008 (2008), article ID rnm157, 29 pages.
  • (with K. Benedetto) "Tiling problems, automata, and tiling graphs,"Theoret. Comput. Sci. 407 (2008), 400-411.
  • (with G. Warrington) "A continuous family of partition statistics equidistributed with length," to appear in J. Combin. Theory Ser. A.
  • (with J. Remmel), "Rook-by-rook rook theory: bijective proofs of rook and hit equivalences," to appear in Adv. Appl. Math.
  • (with K. Benedetto) "Domino tiling graphs," to appear in Ars Combin.
  • (with E. Brown) "Why is PSL(2, 7) ≅ GL(3, 2)?" to appear in American Mathematical Monthly.

• Henning Mortveit

  • H. S. Mortveit and C. M. Reidys. Reduction of discrete dynamical systems over graphs. Advances in Complex Systems, 7(1):1-20, 2004.
  • H. S. Mortveit and C. M. Reidys. Neutral Evolution and Mutation Rates of Sequential Dynamical Systems over Words. Advances in Complex Systems, 7(3-4):395-418, 2004.
  • H. S. Mortveit, C. M. Reidys, A. K. Vullikanti, and S. Zust. SDS Based Evolutionary Optimization Techniques for Schedule Optimization in Transport Computations. Technical Report LA-UR-04:1040, 2004
  • Justin L. Tripp, Henning S. Mortveit, Matthew S. Nassr, Anders A. Hansson, and Maya Gokhale. Acceleration of transferc simulation on reconfigurable hardware. In Proceedings of MAPLD04, September 2004. Accepted for inclusion.
  • A. Å. Hansson, H. S. Mortveit, and C. M. Reidys. On asynchronous cellular automata. Advances in Complex Systems, 8(4):521-538, December 2005.
  • Justin L. Tripp, Henning S. Mortveit, Anders A. Hansson, and Maya Gokhale. Metropolitan road traffic simulation on fpgas. In Proceedings of the 13th Annual IEEE Symposium on Field-Programmable Custom Computing Machines (FCCM'05), pages 117-126, April 2005.
  • Anders A. Hansson, Henning S. Mortveit, Justin L. Tripp, and Maya Gokhale. Urban traffic simulation modeling for reconfigurable hardware. In Proceedings of Industrial Simulation Conference 2005 (ISC'05), pages 291-298, June 2005.
  • Justin L. Tripp, Anders A. Hansson, Maya Gokhale, and Henning S. Mortveit. Partitioning hardware and software for reconfigurable supercomputing applications: A case study. In Proceedings of the 2005 ACM/IEEE Conference on Supercomputing (SC|05), September 2005. Accepted for inclusion in proceedings.
  • C. L. Barrett, K. Bisset, S. Eubank, V. S. A. Kumar, M. V. Marathe, and H. S. Mortveit. Modeling and Simulation of Large Biological, Information and Soci-Technical Systems: An Interaction-Based Approach, volume 64 of Proceedings of Symposia in Applied Mathematics, pages 101148. American Mathematical Society, 2007.
  • Aric D. Blumer, Henning [S.] Mortveit, and Cameron D. Patterson. Formal modeling of process migration. In 2007 International Conference on Field Programmable Logic and Applications, Amsterdam, The Netherlands, pages 104110, 2007.
  • Matthew Macauley, Jon McCammond, and Henning S. Mortveit. Order independence of finite asynchronous cellular automata. Journal of Cellular Automata, (1):37¿56, 2008. arXiv:0707.2360.
  • Henning S. Mortveit and Christian M. Reidys. An Introduction to Sequential Dynamical Systems. Universitext. Springer Verlag, 2007.
  • K. Atkins, C. Barrett, R. Beckman, K. Bisset, J. Chen, S. Eubank, A. Feng, X. Feng, S. Harris, B. Lewis, A. Kumar, M. Marathe, A. Marathe, H. Mortveit, and Stretz P. An interaction based composable architecture for building scalable models of large social, biological, information and technical systems. CT Watch, 4:46¿53, 2008.
  • Matthew Macauley and Henning S. Mortveit. On enumeration of conjugacy classes of Coxeter elements. Proceedings of the American Mathematical Society, 136(12):4157¿4165, 2008. Preprint at arXiv:0711.1140.
  • Matthew Macauley and Henning S. Mortveit. Cycle equivalence of sequential dynamical systems. Nonlinearity, 22:421¿436, 2009. Preprint at arXiv:0709.0291.

• Anderson Norton

  • Norton, A. (2005). The power of operational conjectures. In G. M. Lloyd, M. R. Wilson, J. L. M. Wilkins, & S. L. Behm (Eds.), Proceedings of the Twenty-Seventh Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. [CD-ROM]. Eugene, OR: All Academic.
  • Abramovich, S., & Norton, A. (2006). Equations with parameters: A locus approach (pp. 5-28), Journal of computers in mathematics and science education, 25(1).
  • Norton, A. (2006). What's on your report card? (pp. 315-319), Teaching children mathematics 13(6).
  • Kastberg, S., & Norton, A. (2007). Building a system of rational numbers. In P. Kloosterman (Ed.), The National Assessment of Educational Progress monograph, (pp. 67-93). Reston, VA: NCTM.
  • Chauvot, J., Ice, N., Sanchez, W., Kastberg, S. E., Leatham, K. R., Lovin, L. et al. (2007). A collaborative to study beliefs of mathematics teacher educators. In T. Lamberg, L. R. Wiest (Eds.), Proceedings of the Twenty-ninth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Stateline (Lake Tahoe): University of Nevada, Reno.
  • Norton, A., & Rutledge, Z. (2007). Assessing cognitive activity in the context of letter writing. In T. Lamberg, L. R. Wiest (Eds.), Proceedings of the Twenty-ninth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Stateline (Lake Tahoe): University of Nevada, Reno.
  • Norton, A. (2008). Joshs operational conjectures: Abductions of a splitting operation and the construction of new fractional schemes. Journal for research in mathematics education 39(4), 401-430.
  • Norton, A., & D'Ambrosio, B. S. (2008). ZPC and ZPD: Zones of teaching and learning. Journal for research in mathematics education 39, 220-246.
  • Norton, A., & McCloskey, A. (in press). Learning from students using Steffes teaching experiments. Journal of mathematics teacher education, 11(4), 285-305.
  • Rutledge, Z., & Norton, A. (in press). Preservice teachers' mathematical task posing: An opportunity for coordination of perspectives. The mathematics educator, 18(1), 31-40.
  • Norton, A., & McCloskey, A. (2008). Modeling students mathematics using Steffes fractions schemes. Teaching children mathematics, 15(1), 48-54.
  • Norton, A., Rutledge, Z., Hall, K., & Norton, R. (in press). Mathematical letter writing: An opportunity for further partnership between high schools and universities. Mathematics teacher.
  • Norton, A. (in press). Eighty-eight thousand, four hundred and eighteen more ways to fill space. College mathematics journal.
  • McCloskey, A., & Norton, A. (in press). Modeling Students' Mathematics Using Steffe's Advanced Fractions Schemes. Mathematics teaching in the middle school.
  • Kastberg, S., Norton, A., & Klerlein, J. (in press). Trusting students. Mathematics teaching in the middle school.

• Charles Parry

  • Thomas M. McCall, Charles J. Parry and Ramona R. Ranalli, "The Structure of the 2-Class Group of Certain Number Fields." ,Houston Journal of Mathematics, 30(2004)
  • Thomas M. McCall, Charles J. Parry, " Imaginary Bicyclic Biquadratic Fields with Elementary 2-Class Group", JP Journal of Number Theory &Applications 5(10 2005 173-195
  • Charles J. Parry and Ramona R. Ranalli, The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Byciclic Biquadratic Fields, JP Journal of Number Theory &Applications 8(1) 2007 81-105.

• Carl Prather

  • The oscillation of differential transforms: entire Jacobi expansions, Journal of Mathematical Analysis and Applications, to appear.
  • Generalization of an impulsive nonlinear singular Gronwall-Bihari inequality with delay (with S. Deng), to appear.

• Frank Quinn

• Bobtcheva, Ivelina; Quinn, Frank The reduction of quantum invariants of 4-thickenings. Fund. Math. 188 (2005), 21--43.
• Quinn, Frank Dual decompositions of 4-manifolds. II. Linear invariants. Trans. Amer. Math. Soc. 358 (2006), no. 5, 2161--2181 (electronic).
• Exotic homology manifolds---Oberwolfach 2003. Proceedings of the mini-workshop held in Oberwolfach, June 29--July 5, 2003. Edited by Frank Quinn and Andrew Ranicki. Available electronically at http://www.maths.warwick.ac.uk/gt/gtmcontents9.html. Geometry & Topology Monographs, 9. Geometry & Topology Publications, Coventry, 2006. front matter+153 pp. (electronic).
• Quinn, Frank Problems on homology manifolds. Exotic homology manifolds---Oberwolfach 2003, 87--103 (electronic), Geom. Topol. Monogr., 9, Geom. Topol. Publ., Coventry, 2006.
• Quinn, Frank Dual decompositions of 4-manifolds. III. S-cobordisms. Trans. Amer. Math. Soc. 359 (2007), no. 4, 1433--1443 (electronic).
• Controlled K-theory I: basic theory, Preprint Feb 2004 http://arXiv.org/abs/math.KT/0402396 . (accepted for publication)

• Michael Renardy

  • (with Y. Renardy, T. Chinyoka, D.B. Khismatullin and J. Li), A viscoelastic VOFPROST code for the study of drop deformation, Proc. 2004 ASME Heat Transfer/Fluids Engineering Summer Conf., Charlotte, NC, July 2004, Paper HT-FED2004-56114
  • On damping in two-layer elastic-viscoelastic media, Z. angew. Math. Mech. 84 (2004), pp. 205-210
  • On localized Kelvin-Voigt damping, Z. angew. Math. Mech. 84 (2004), pp. 280-283
  • (with Y. Renardy), Similarity solutions for breakup of jet of power law fluids, J. Non-Newtonian Fluid Mech. 122 (2004), pp. 303-312
  • Breakup of non-Newtonian liquid jets with inertia, Proc. XIVth Int. Congr. Rheol., Paper NF04, Korean Society of Rheology 2004
  • A comment on self-similar breakup for inertialess Newtonian liquid jets, IMA J. Appl. Math. 70 (2005), pp. 353-358
  • (with P. Wapperom), Numerical prediction of the boundary layers in the flow around a cylinder using a fixed velocity field, J. Non-Newtonian Fluid Mech. 125 (2005), pp. 35-48
  • Post-breakup asymptotics for a Giesekus jet, J. Non-Newtonian Fluid Mech. 126 (2005), pp. 1-5
  • When is a given set of PDEs part of an elliptic system?, Diff. Integral Eq. 18 (2005), pp. 233-239
  • Parallel shear flows of fluids with a temperature dependent viscosity, Z. angew. Math. Phys. 56 (2005), pp. 681-693
  • (with D.L. Russell), A discrete systems approach to cardinal spline Hermite interpolation, Lin. Alg. Appl. 406 (2005), pp. 77-98
  • Are viscoelastic flows under control or out of control?, Syst. Control Lett. 54 (2005), pp. 1183-1193
  • Shear flow of viscoelastic fluids as a control problem, J. Non-Newtonian Fluid Mech. 131 (2005), pp. 59-63
  • (with T. Chinyoka, Y. Renardy and D.B. Khismatullin), Two-dimensional study of drop deformation under simple shear for Oldroyd-B liquids, J. Non-Newtonian Fluid Mech. 130 (2005), pp. 45-56
  • Draw resonance revisited, SIAM J. Appl. Math. 66 (2006), pp. 1261-1269
  • (with D.B. Khismatullin and Y. Renardy), Development and implementation of VOFPROST for 3D viscoelastic liquid-liquid simulations, J. Non-Newtonian Fluid Mech. 140 (2006), pp. 120-131
  • A comment on smoothness of viscoelastic stresses, J. Non-Newtonian Fluid Mech. 138 (2006), pp. 204-205
  • Viscoelastic stagnation point flow in a wake, J. Non-Newtonian Fluid Mech. 138 (2006), pp. 206-208
  • Global existence of solutions for shear flow of certain viscoelastic fluids, J. Math. Fluid Mech.
  • On control of shear flow of an upper convected Maxwell fluid, Z. angew. Math. Mech. 87 (2007), pp. 213-218
  • Some global stability results for shear flows of viscoelastic fluids, J. Math. Fluid Mech.
  • On the use of Laplace transform inversion for reconstruction of relaxation spectra, J. Non-Newtonian Fluid Mech. 154 (2008), pp. 47-51
  • Nonlinear perturbations of partially controllable systems, in: O. Imannvilov, G. Leugering, R. Triggiani and B. Zhang, Control Theory for Partial Differential Equations, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, pp. 157-167
  • Global existence and stability results for viscoelastic shear flows, in: W.Z. Chien, S.Q. Dai, Z.W. Zhou and C.J. Cheng (eds.), Proc. 5th Internat. Conf. Nonlinear Mech., Shanghai University Press 2007, pp. 99-101
  • Draw resonance revisited, Second International Symposium on Instability and Bifurcations in Fluid Dynamics, J. Phys. Conf. Ser. 64, http://www.iop.org/EJ/toc/1742-6596/64/1
  • Are viscoelastic flows under control or out of control?, in: D. Konate (ed.), Mathematical Modeling, Simulation, Visualization and e-Learning, Springer 2008, pp. 201-208
  • Stability of viscoelastic shear ows in the limit of high Weissenberg and Reynolds numbers, J. Non-Newtonian Fluid Mech. 155 (2008), pp. 124-129
  • (with S. Afkhami, Y. Renardy, J.S. Riffle and T. St. Pierre), Field-induced motion of ferrofluid droplets through immiscible viscous media, J. Fluid Mech. 610 (2008), pp. 363-380
  • (with J.R. Waldmeyer, M.R. Mackley and Y. Renardy), Numerical simulation of the deformation and break-up of droplets subjected to complex, time dependent strain rates, in: A. Co, L.G. Leal, R.H. Colby and A.J. Giacomin (eds.), The XVth International Congress on Rheology, AIP Conference Proceedings 1027, American Institute of Physics 2008, pp. 875-877
  • (with S. Afkhami, Y. Renardy, J.S. Riffle and T.G. St. Pierre), Numerical modeling of ferrofluid droplets in magnetic fields, in: A. Co, L.G. Leal, R.H. Colby and A.J. Giacomin (eds.), The XVth International Congress on Rheology, AIP Conference Proceedings 1027, American Institute of Physics 2008, pp. 884-886
  • On the use of Laplace transform inversion for reconstruction of relaxation spectra, in: A. Co, L.G. Leal, R.H. Colby and A.J. Giacomin (eds.), The XVth International Congress on Rheology, AIP Conference Proceedings 1027, American Institute of Physics 2008, pp. 1367-1368
  • Global existence of solutions for shear flow of certain viscoelastic fluids, J. Math. Fluid Mech.
  • Some global stability results for shear flows of viscoelastic fluids, J. Math. Fluid Mech.
  • Controllability of viscoelastic stresses for nonlinear Maxwell models, J. Non-Newtonian Fluid Mech. 156 (2009), pp. 70-74
  • Ill-posedness of the hydrostatic Euler and Navier-Stokes equations, Arch. Rat. Mech. Anal.
  • Short wave stability for inviscid shear flow, SIAM J. Appl. Math. 69 (2009), pp. 763-768
  • A note on a class of observability problems for PDEs, Syst. Control Lett. 58 (2009), pp. 183-187
  • Stressmodes in linear stability of viscoelastic flows, J. Non-Newtonian Fluid Mech.

• Yuriko Renardy

  • M. A. Drumright-Clarke and Y. Renardy, 2004, The effect of insoluble surfactant at dilute concentration on drop breakup under shear with inertia, Phys. Fluids 16(1), pp. 14-21.
  • Michael and Yuriko Renardy, 2004, Similarity solutions for breakup of jet of power law fluids, J. Non-Newtonian Fluid Mech. 122,pp.303-312.
  • 97. Y. and M. Renardy, T. Chinyoka, D. B. Khismatullin, J. Li, 2004, A viscoelastic VOF-PROST code for the study of drop deformation. ASME Transactions Journal, Heat Transfer/Fluids Engineering Summer Conference, HT-FED2004 CDROM Track 5, 56114.pdf.
  • T. Chinyoka, Y. Renardy, M. Renardy, D. B. Khismatullin, 2005, Two-dimensional study of drop deformation under simple shear for Oldroyd-B liquids, J. Non-Newt. Fluid Mech. 130(1) pp 45-56.
  • D. B. Khismatullin, Y. Renardy, M. Renardy, 2006, Development and implementation of VOF-PROST for 3D viscoelastic liquid-liquid simulations, J. Non-Newt. Fluid Mech. 140/1-3 pp.120-131.
  • Y. Renardy, 2006, Numerical simulation of a drop undergoing large amplitude oscillatory shear, Rheologica Acta, 45(3), pp 223-227.
  • V. Cristini and Y. Renardy, 2006, Scalings for Droplet Sizes in Shear-Driven Breakup: Non-Microfluidic Ways to Monodisperse Emulsions, Fluid Dyn. Mater. Process.2(2), pp. 77-94.
  • Y. Renardy, 2006, The effects of confinement and inertia on the production of droplets, Rheol. Acta. 46(4),pp. 521-529.
  • Y. Renardy, 2008, Drop oscillations under simple shear in a highly viscoelastic matrix, Rheol. Acta.47(1) pp 89-96.
  • K. Verhulst, R. Cardinaels, P. Moldenaers, Y. Renardy, S. Afkhami, 2009. Influence of viscoelasticity on drop deformation in shear flow. Part 1: Stationary state. J. Non-Newtonian Fluid Mech. v 156, pp. 29-43.
  • K. Verhulst, R. Cardinaels, P. Moldenaers, Y. Renardy, S. Afkhami, 2009. Influence of viscoelasticity on drop deformation in shear flow. Part 2: Dynamics. J. Non-Newtonian Fluid Mech. v 156 pp 44-57.
  • S. Afkhami, Y. Renardy, M. Renardy, J. S. Riffle, T. St Pierre, 2008, Field-induced motion of a ferrofluid droplet through immiscible viscous media. J. Fluid Mech. v 610, pp 363 - 380.
  • Y. Renardy, 2008, Effect of startup conditions on drop breakup under shear with inertia, International J. Multiphase Flow, vol. 34, pp 1185-1189.
  • J. R. Waldmeyer, M. R. Mackley, M. Renardy and Y. Renardy, 2008, Numerical simulations of the deformation and break-up of droplets subjected to complex time dependent strain rates. The XVth Int. Congr. Rheol., eds. Albert Co, L. Gary Leal, Ralph H. Colby and A. Jeffrey Giacomin, American Institute of Physics Proceedings 1027, pp.875-877.
  • K. Verhulst, R. Cardinaels, P. Moldenaers, Y. Renardy, S. Afkhami, 2008 Numerical investigation of the influence of viscoelasticity on drop deformation in shear. The XVth Int. Congr. Rheol., eds. Albert Co, L. Gary Leal, Ralph H. Colby and A. Jeffrey Giacomin, American Institute of Physics Proceedings 1027, pp.517-519.
  • K. Verhulst, R. Cardinaels, Y. Renardy, P. Moldenaers, 2008, Steady state droplet deformation and orientation during bulk and confined shear flow in blends with one viscoelastic component: Experiments, modeling and simulations, The XVth Int. Congr. Rheol., eds. Albert Co, L. Gary Leal, Ralph H. Colby and A. Jeffrey Giacomin, American Institute of Physics Proceedings 1027, pp.1000-1002.
  • S. Afkhami, Y. Renardy, M. Renardy, J. S. Riffle, T. G. St Pierre, 2008, Numerical modeling of ferrofluid droplets in magnetic fields, The XVth Int. Congr. Rheol., Eds. Albert Co, L. Gary Leal, Ralph H. Colby and A. Jeffrey Giacomin, American Institute of Physics Proceedings 1027, pp.884-886.

• Robert Rogers

  • An immersed finite element space and its approximation capability (with Z. Li, Tao Lin, and Y. Lin), Numerical Methods for Partial Differential Equation Vol. 20, 2004, pp 338-367.

• John Rossi

  • P.C. Fenton and John Rossi, Phragmen-Lindelöf Theorems. Proc. Amer. Math. Soc. 132 (2004), no. 3, 761-768.
  • J.K. Langley and John Rossi, Meromorphic Functions of the form $f(z) = \sum_{n=1}^{\infty} a/n/(z-z_n)$ Rev. Math. Iberoamericano 20 (2004), no. 1, 285-314.
  • Christopher Beattie,Mark Embree and John Rossi Convergence of restarted Krylov subspaces. to invariant subspaces, SIAM J. Matrix Anal.and Appl. 25 (2004), no. 3, 1074-1109.
  • P.C. Fenton and John Rossi, cos(π p) theorems for &delta:- subharmonic functions. J. Analyse Math. 92 (2004), 385-396.
  • J.K. Langley and John Rossi, Critical points of certain discrete potentials, Complex Variables 49 (2004), 621-637.
  • P.C. Fenton and John Rossi, Estimates for singular integral operators, Comput. Methods Funct. Theory 8 (2008), No. 1, 35-46.
  • P.C. Fenton and John Rossi, A reverse Denjoy theorem, Bull. London Math. Soc. (appeared online December, 2008).

• David Russell

• (with Z.-Y. Liu) Model Structure and Boundary Stabilization of an Ax- ially Moving Elastic Tape, in "Control Theory of Partial Diffential Equations", O. Imanuvilov, G. Leugering, R. Triggiani and B.-Y. Zhang, eds., CRC Press, Boca Raton, 2005.
• with M. Renardy) A discrete systems approach to cardinal spline Her- mite interpolation, Lin. Alg. Appl., 406 (2005), pp. 77-98.
• Forward Stabilized Spline Interpolation, SIAM Journal on Control and Optimization, Vol. 45 (2006), No. 4, pp. 1314-1328.
• Homogenization in the Modelling of Volume-Controlled Elastic Struc- tures, Appl. Math. & Opt., Volume 55 (2007), No. 2, pp. 273-284.
• The Betti Reciprocity Principle and the Normal Boundary Component Control Problem for Linear Elastic Systems, Journal of Global Optimization, 40 (2008) No. 4, pp. 575-588.
• On Some Modifications of the Harmonic Wavelets of T. Morita, Inter- disc. Inf. Sci., 12(2006), No. 2, pp. 1-10.
• Computing Convex Spline Approximations, to appear in Intl. J. of Inf. Syst. & Sciences, 2009.
• On Optimal Control for Stationary Linear Systems, to appear in Appl. Math. & Opt.

• Mark Shimozono

• (with A. Schilling) X = M for symmetric powers, J. Algebra 295 (2006), no. 2, 562-610.
• (with M. Zabrocki) Deformed universal characters for classical and affine algebras, J. Algebra 299 (2006) no. 1, 33-61.
• with A. Knutson and E. Miller) Four formulae for type A quiver polynomials, Inv. Math. 166 (2006), no. 2, 229-325.
• (with T. Lam) A little bijection for affine Stanley symmetric func- tions, Sem. Lothar. Combin. 54A (2005/06), Art. B54Ai, 12 pp. (electronic).
• (with Cédric Lecouvey) Lusztig's q-analogue of weight multiplicity and one-dimensional sums for andne root systems, Adv. in Math. 208 (2007) 438466.
• (with Ghislain Fourier and Anne Schilling) Demazure structure inside Kirillov-Reshetikhin crystals, J. Algebra 309 (2007) 386404.
• (with T. Lam) Dual graded graphs for Kac-Moody algebras, Algebra and Number Theory 1 (2007) 451488.
• (with Anders Buch, Andrew Kresch, Harry Tamvakis, and Alexan- der Yong) Stable Grothendieck polynomials and K-theoretic factor se- quences, Math. Annalen 340 (2008) 359-382.
• (with Thomas Lam, Luc Lapointe, and Jennifer Morse) Affine insertion and Pieri rules for the affine Grassmannian, to appear in Memoirs of the AMS. http://front.math.ucdavis.edu/math.CO/0609110
• (with Masaki Kashiwara) Equivariant K-theory of affine flag manifolds and affine Grothendieck polynomials, to appear in Duke Math. J. http://front.math.ucdavis.edu/math.AG/0601563.
• (with Thomas Lam) Quantum cohomology of G/P and homology of affine Grassmannian, to appear in Acta Math. http://front.math.ucdavis.edu/0705.1386
• (with Anne Schilling and Thomas Lam) Schubert polynomials for the affine Grassmannian of the symplectic group, to appear in Math Zeit. http://front.math.ucdavis.edu/0710.2720

• Robert Snider

  • R. L. Snider Periodic groups whose simple modules have finite central endomorphism dimension. Proc. Amer. Math. Soc. 134 (2006), no. 12, 3485- 3486
  • R. L. Snider, Remarks on the Jacobson Conjecture, Comm. In Algebra (to appear)
  • R. L. Snider, On the flatness of completions, Glasgow math. J. (to appear)

• Shu-Ming Sun

• R. Pego and S. M. Sun, On transverse linear instability of solitary water waves with large surface tension, Proc. Royal Soc. Edinburgh Sect. A 134 (2004), 733-752.
• J. Bona, S. M. Sun and Bing-yu Zhang, Conditional and unconditional well-posedness for nonlinear evolution equations, Advances in Differential Equations 9 (2004), 241-265.
• S. M. Sun, Singularly perturbed Korteweg-de Vries equations with forcing, 2004 International Workshop on Mathematical Fluid Dynamics and Applications, edited by J. Kweon, et al. (2004), 179-189.
• L Bona, Hongqiu Chen, Shu-Ming Sun, B.-Y. Zhang, Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Discrete Contin. Dyn. Syst. 13 (2005), 921--940.
• J. Bona, S. M. Sun and Bing-yu Zhang, Boundary Smoothing Properties of the Korteweg-de Vries Equation in a Quarter Plane and Applications, Dynamics of Partial Differential Equations 3 (2006), 1--70.
• J. L. Bona, S. M. Sun and Bing-yu Zhang, Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Discrete Contin. Dyn. Syst Ser. B. 7 (2007), 465-495.
• M. Groves and S. M. Sun, Fully localised solitary-wave solutions of the three-dimensional gravity-capillary water-wave problem, Arch. Rational Math. Mech. 188 (2008), 1--91.
• J. L. Bona, S. M. Sun and B.-Y. Zhang, Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Annales de l'Institut Henri Poincaré. Analyse Non Linéaire 25 (2008), 1145---1185.
• J. W. Choi, S. M. Sun and S. I. Whang, Supercritical surface gravity waves generated by a positive forcing. European Journal of Mechanics - B/Fluids 27 (2008), 750--770.
• S. Deng and S. M. Sun, Exact theory of three-dimensional water waves with small surface tension, Proceedings of NIMS International Workshop on Fluid Mechanics Volume 2, Number 6 (2008), 199-207.
• S. M. Sun, Existence and Stability of Two- and Three-dimensional Solitary Waves. Proceedings of NSF/CBMS Regional Conference on Water Waves: Theory and Experiment (2009).
• S. F. Deng and S. M. Sun, On the existence of gravity-capillary waves on water with small surface tension. Proceedings of the National Institute for Mathematical Sciences: Fluid Mechanics (2009).
• S. F. Deng and S. M. Sun, Three-dimensional gravity-capillary waves on water - Small surface tension case. Physica D (2009), in press.

• James Thomson

  • S. Kouchekian and J. Thomson, The density problem for self-commutators of Unbounded Bergman operators, Integral Equations Operator Theory 52 (2005) 135-147.
  • W. Majdak, Z. Sebestyen, J. Stochel, and J. Thomson, A local lifting theorem for subnormal operators, Proc. Amer. Math. Soc. 134 (2006) 1687-1699.
  • S. Kouchekian and J. Thomson, On self-commutators of Toeplitz operators with rational symbols, Studia Math. 179 (2007) 41-47.

• James Turner

  • Modeling Control of Crystal Growth Processes, Journal of Computers & Mathematics with Applications, 48, 1231-1243, 2004.

• Peter Wapperom

  • P. Wapperom and R. Keunings, Impact of decoupling approximation between stretch and orientation in rheometrical and complex flow of entangled linear polymers, Journal of Non-Newtonian Fluid Mechanics 122, 2004, p. 33-43.
  • P. Wapperom and M. Renardy, Numerical prediction of the boundary layers in the flow around a cylinder using a fixed velocity field, Journal of Non-Newtonian Fluid Mechanics 125, 2005, p. 35-48.
  • P. Wapperom, A. Leygue, and R. Keunings, Numerical simulation of large amplitude oscillatory shear of a high-density polyethylene melt using the MSF model, Journal of Non- Newtonian Fluid Mechanics 130, 2005, p. 63-76.
  • E. Scribben, D.G. Baird, and P. Wapperom, The role of transient rheology in polymeric sintering, Rheologica Acta 45, 2006, p.825-839.
  • P.Wapperom, A.N. Beris, and M.A. Straka, A new transpose split method for three-dimensional FFTs: performance on an Origin2000 and Alphaserver cluster, Parallel Computing 32, 2006, p.1-13.
  • A.P.R. Eberle, D.G. Baird, and P.Wapperom, Modeling the transient rheology of a polypropylene melt reinforced with long and short glass fibers, Proceedings of the 64th Annual Technical Conference and Exhibition, SPE Antec 2006, 2006, p.2315-2319.
  • A.P.R. Eberle, D.G. Baird, and P. Wapperom, Modeling the rheology and orientation distribution of short glass fibers suspended in polymeric fluids: simple shear flow, Proceedings of the 65th Annual Technical Conference and Exhibition, SPE Antec 2007, 2007, p. 2823-2827.
  • A. P. R. Eberle, D. G. Baird, and P.Wapperom, The rheological properties of non-Newtonian fluids containing glass fibers: A review of experimental literature, Industrial & Engineering Chemistry Research, 47, 2008, p. 3470-3488.
  • A.P.R. Eberle, G.M. Vélez, D.G. Baird, and P. Wapperom, Behavior of a concentrated polymeric suspension containing non-Brownian glass fibers in simple shear flow, Proceedings of the 66th Annual Technical Conference and Exhibition, SPE Antec 2008, 2008, p. 868-872.
  • G.M. V*eacute;lez-Garc&icaute;a. Ortman, A.P.R. Eberle, P. Wapperom, D.G. Baird, Simulation of orientation in injection molding of high aspect ratio particle thermoplastic composites, Proceedings of the International Congress on Rheology, eds. A. Co, L. G. Leal, and A. J. Giacomin, American Institute of Physics, Melville, New York, 2008, p. 42-44.
  • G.M. Vélez-García, K.C. Ortman, A.P.R. Eberle, P. Wapperom, D.G. Baird, 2-D simulations of orientation in highly concentrated short glass ¿ber thermoplastic composites made by injection molding, Proceedings of Americas Regional Meeting, Polymer Processing Society, Charleston, South Carolina, 2008, 2 pages.
  • A.P.R. Eberle, G.M. V&ecaute;lez-Garc&icaute;a, D.G. Baird, P. Wapperom, Fiber orientation kinetics of a concentrated short glass ¿ber suspension in start up of shear ¿ow, Proceedings of Americas Regional Meeting, Polymer Processing Society, Charleston, South Carolina, 2008, 2 pages.
  • K.C. Ortman, G.M. V&ecaute;lez-Garc&icaute;a, A.P.R. Eberle, D.G. Baird, P. Wapperom, Long glass ¿ber orientation in thermoplastic composites using a model that accounts for the ¿exibility of the ¿bers, Proceedings of Americas Regional Meeting, Polymer Processing Society, Charleston, South Carolina, 2008, 2 pages.

• Michael Williams

• "A Technology-based Model for Learning", Journal on Systemics, Cybernetics and Informatics, Volume 2, Number 6 (2005).
• "A Model for Computer-Assisted Lecture Courses in Mathematics," in Proceedings of the Third International Conference on Education and Information Systems: Technologies and Applications, vol. 1, F. Malpica, F. Welsch, A. Tremante, J. Lawler, eds., Orlando, Intl. Inst. Informatics Systemics, pp. 26-31 (2005). (with W. Greenberg)
• "Kinetic Equations on a Lattice with Nearest Neighbor Interaction: Discrete and Semi-Discrete Modeling," in Proceedings of ICMA-MU International Conference in Mathematics and Applications, Y. Lenbury, ed., ASEAN Health Institute, Bangkok, 2005, 17 pp (2005). (with W. Greenberg)
• "A High Volume Test Engine and Pedagogy for Computer Emporium Instruction," in les Comptes-rendus du IIIme Symposium Malien sur les Sciences Appliques, F. Seydou, ed., Oulu University Press, Oulu, Finland, 2005, 6 pp. (with W. Greenberg)
• "Technology-Assisted University Instruction: Large Course Management," Journal of Systemics, Cybernetics and Informatics 4(6), 1 - 5 (2006). (with W. Greenberg)
• "Global Solutions of the Enskog Lattice Equation with Square Well Potential," CUBO Mathematics Journal 9(1), 1 - 11 (2007). (with W. Greenberg)
• "A New Algorithm for BLE (Boltzmann Lattice Equation) Numerics," in Actes du Troisieme Symposium Malien sur les Sciences Appliquees, F. Seydou, ed., Oulu University Press, Oulu, Finland, 27 - 30 , (2007). (with W. Greenberg)
• "New Pedagogical Models for Instruction in Mathematics," in Mathematical Modeling, Simulation, Visualization and E-learning, D. Konate, ed., Springer Verlag, Berlin, 361 - 371, (2007). (with W. Greenberg)

• Pengtao Yue

  • P. Yue, J.J. Feng, C. Liu, and J. Shen, A diffuse-interface method for simulating two-phase flows of complex fluids, J. Fluid Mech. 515 (2004) 293-317.
  • P. Yue, J.J. Feng, C. Liu, and J. Shen, Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids, J. Non-Newtonian Fluid Mech. 129 (2005) 163-176.
  • P. Yue, J.J. Feng, C. Liu, and J. Shen, Interfacial forces and Marangoni flow on a nematic drop retracting in an isotropic fluid, J. Colloid Interface Sci. 290 (2005) 281-288.
  • P. Yue, J.J. Feng, C. Liu, and J. Shen, Viscoelastic effects on drop deformation in steady shear. J. Fluid Mech. 540 (2005) 427 - 437.
  • P. Yue, J.J. Feng, C. Liu, and J. Shen, Transient drop deformation upon startup of shear in viscoelastic fluids, Phys. Fluids 17 (2005) 123101.
  • Xu Shengli, Liu Kai, Zhu Zuojin, Yue Pengtao. Numerical experiments of three dimensional mixing of natural gas and air. Journal of Hydrodynamics, Vol. 17, No. 1, 2005, p 12-21.
  • Xu Shengli, Yue Pengtao, Liu Kai, Zhu Zuojin. Experimental visualization on natural gas-air mixing in engine intake. Experiments and Measurements in Fluid Mechanics, Vol. 19, No. 4, 2005, p 74-79.
  • C. Liu, J. Shen, J.J. Feng, and P. Yue. Variational approach in two-phase flows of complex fluids: transport and induced elastic stress, Chapter 11 in Mathematical Models and Methods in Phase Transitions, editor: Alain Miranville, Nova Publishers, New York, 2005.
  • J.J. Feng, C. Liu, J. Shen, and P. Yue. An energetic variational formulation with phase field methods for interfacial dynamics of complex fluids: advantages and challenges, in Modeling of Soft Matter (IMA Volumes in Mathematics and its Applications), editors: M.-C. T. Calderer and E. Terentjev, Springer, New York, 2005.
  • P. Yue, C. Zhou, J.J. Feng, C. Ollivier-Gooch, and H.H. Hu, Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing. J. Comput. Phys. 219 (2006) 47-67.
  • C. Zhou, P. Yue, and J.J. Feng, Formation of simple and compound drops in microfluidic devices, Phys. Fluids 18 (2006) 092105.
  • P. Yue, C. Zhou, and J.J. Feng, A computational study of the coalescence between a drop and an interface in Newtonian and viscoelastic fluids, Phys. Fluids 18 (2006) 102102.
  • L. Chin, P. Yue, J.J. Feng, and C.Y. Seow, Mathematical simulation of muscle crossbridge cycle and force-velocity relationship, Biophys. J. 91 (2006) 3653-3663.
  • C. Zhou, P. Yue, and J.J. Feng, Simulation of neutrophil deformation and transport in capillaries using Newtonian and viscoelastic drop models, Ann. Biomed. Eng. 35 (2007) 766-780.
  • P. Yue, C. Zhou, and J.J. Feng, Spontaneous shrinkage of drops and mass conservation in phase-field simulations, J. Comput. Phys. 233 (2007) 1-9.
  • C. Zhou, P. Yue, J.J. Feng, C. Liu, and J. Shen, Heart-shaped bubbles rising in anisotropic liquids, Phys. Fluids 19 (2007) 041703.
  • P. Yue, J.J. Feng, C.A. Bertelo, and H.H. Hu, An arbitrary Lagrangian-Eulerian method for simulating bubble growth in polymer foaming, J. Comput. Phys. 226 (2007) 2229-2249.
  • C. Zhou, P. Yue, and J.J. Feng, The rise of Newtonian drops in a nematic liquid crystal, J. Fluid Mech. 593 (2007) 385-404.
  • C. Zhou, P. Yue, and J.J. Feng, Deformation of a compound drop through a contraction in a pressure-driven pipe flow, Int. J. Multiphase Flow 34 (2008) 102-109.
  • P. Yue, J. Dooley, and J.J. Feng, A general criterion for viscoelastic secondary flow in pipes of noncircular cross section, J. Rheol. 52 (2008) 315-332.
  • D. Zhou, P. Yue, and J.J. Feng, Viscoelastic effects on drop deformation in a converging pipe flow, J. Rheol. 52 (2008) 469-487.
  • C. Zhou, P. Yue, and J.J. Feng, Dynamic simulation of droplet interaction and self-assembly in a nematic liquid crystal. Langmuir 24 (2008) 3099-3110.
  • P. Yue, C. Zhou, J. Dooley, and J.J. Feng, Elastic encapsulation in bicomponent stratified flows of viscoelastic fluids. J. Rheol. 54 (2008) 1027-1042.
  Z. Xia, K.W. Connington, S. Rapaka, P. Yue, J.J. Feng, and S. Chen, Flow patterns in the sedimentation of an elliptical particle. J. Fluid Mech. (in press 2008)

• Lizette Zietsman

  • Timoshenko Beam with Tip Body and Boundary Damping, (A. J. van der Merwe and N. F. J. van Rensburg ), Wave Motion, 39/3, (199-211), 2004.
  • Computational Challenges in Control of Partial Differential Equations (with J. T. Borggaard and J. A. Burns), AIAA 2004-2526, 2nd AIAA Flow Control Conference, Portland, Oregon, July 2004. (Also appeared in Proceedings of the 2004 High Performance Computing Symposium, (51-56), 2004.)
  • On Strong Convergence of Feedback Operators for Non-Normal Distributed Parameter Systems (with J. T. Borggaard, J. A. Burns and, E. Vugrin), , 43rd IEEE Conference on Decision and Control , December 2004.
  • A Penalty Method Approach to LQR Control for Saddle Point Problems (with J. Borggaard and M. Stoyanov), Proceedings of the International Conference on Nonlinear Problems in Aviation and Aerospace 2006.
  • Approximations and Mesh Independence for LQR Opimal Control (with J.A.Burns and E.W. Sachs, IEEE Conference on Decision and Control, San Diego, December 2006.
  • Upwind Approximations for LQR Optimal Control, (with J. A. Burns), Proceedings of the 46th IEEE Conference on Decision and Control, Paper number 759, New Orleans, Louisiana, (2007).
  • A Numerical Study of Controllability and Conditioning of POD Models, Proceedings of the 4th AIAA Flow Control Conference, Seattle, Washington, (2008).
  • Mesh Independence of Kleinmann-Newton Iterations for Riccati Equations on Hilbert Space (with J. A. Burns and E. W. Sachs), SIAM Journal on Control and Optimization, Vol. 47, No. 5, 2663¿2692.
  • Riccati conditioning and sensitivity for a MinMax controlled cable-mass system, (with K. A. Evans, J. T. Brown, R. A. Idowu), Proceedings of the 47th IEEE Conference on Decision and Control, pages 4007¿4011, Cancun, Mexico, (2008)
  • Model-Based Computation of Functional Gains for Feedback Control of Vortex Shedding, (with I. Akhtar, J. Borggaard, J. A. Burns. ), Proceedings of the 2008 ASME International Mechanical Engineering Congress & Exposition, Paper Number IMECE2008-68950, (2008).
  • Solvability of a Reissner-Mindlin-Timoshenko plate-beam vibration model, (with A. J. van der Merwe and N. F. J. van Rensburg), IMA Journal of Applied Mathematics, to appear.