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Recent Publications

• Slimane Adjerid

  • Adjerid, S., Flaherty, J. E.1, and Krivodonova, L.14, A posteriori estimation of discontinuous Galerkin finite element error for hyperbolic problems, Journal of Computer Methods in Applied Mechanics and Engineering. 191, (2002), 1097-1112.
  • Adjerid, S., A posteriori finite element error estimation for fourth-order ellitpic equation", Computer Methods in Applied Mechanics and Engineering 191, (2002).
  • Adjerid, S. A posteriori finite element error estimation for second-order hyperbolic problems", Computer Methods in Applied Mechanics and Engineering 191, (2002), 4699-4719.
  • Adjerid, S. and Massey T. C., A posteriori Error estimation of discontinuous finite element error for two-dimensional hyperbolic problems", Computer Methods in Applied Mechanics and Engineering 191, (2002) 5877-5897.
  • Adjerid, S. and Massey T. C., Flexible Galerkin finite element methods, In K. Bathe, editor, Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, 1848-1850, 2003.
  • 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 Di¿ion 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.
  • Adjerid, S. 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.
  • 23 S. Adjerid and H. Temimi, A discontinuous Galerkin method for higher-order di fferential equations, Computer Methods in Applied Mechanics and Engineering, to appear.

• Joseph Ball

  • D. Alpay, J.A. Ball and Y. Peretz, System theory, operator models and scattering: the time-varying case, J. Operator Theory 47 (2002), 245-286.
  • J.A. Ball, J. Chudoung and M.V. Day, Robust optimal stopping-time control for nonlinear systems, Applied Mathematics & Optimization 46 (2002), 1-29.
  • J.A. Ball, J. Chudoung and M.V. Day, Robust optimal switching control for nonlinear systems, SIAM J. Control & Optimization, 41 (2002), 900-931.
  • J.A. Ball and V. Bolotnikov, On a bitangential interpolation problem for contractive valued functions on the unit ball, Linear Algebra and its Applications 353 (2002), 107-147.
  • J.A. Ball and V. Bolotnikov, A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur-Agler class, J. Math. Anal. Appl., 273 (2002), 328-348.
  • J.A. Ball, K. Clancey and V. Vinnikov, Concrete interpolation of meromorphic matrix functions on Riemann surfaces, in Interpolation Theory, Systems, Theory, and Related Topics: the Harry Dym Anniversary Volume (Ed. D. Alpay, I. Gohberg and V. Vinnikov), pages 137-156, OT134 Birkhauser-Verlag, 2002
  • J.A. Ball, L. Rodman and I.M. Spitkovsky, Toeplitz corona problem for algebras of almost periodic functions, in Convolution operators and factorization of almost periodic matrix functions (Ed. A. Bottcher, Y.I. Karlovich and I.M. Spitkovsky), pages 25-37, OT131 Birkhauser-Verlag, 2002.
  • J.A. Ball and M. Petersen, Nonlinear minimal square spectral factorization, International Journal of Control 76 (2003), 1233-1247.
  • J.A. Ball and V. Bolotnikov, A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space, Integral Equations and Operator Theory 46 (2003), 125-164.
  • J.A. Ball and V. Vinnikov, Overdetermined multidimensional systems: state space and frequency domain methods, in Mathematical Systems Theory in Biology, Communication, Computation, and Finance (Ed. J. Rosenthal and D.S. Gilliam) pp. 63-119, IMA Volumes in Mathematics and its Applications, Springer, 2003.
  • J.A. Ball and V. Vinnikov, Formal reproducing kernel Hilbert spaces: the commutative and noncommutative settings, in Reproducing Kernel Spaces and Applications (Ed. D. Alpay), pp. 77-134, OT143 Birkhauser-Verlag, Basel-Boston, 2003.
  • 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, to appear.
  • J.A. Ball, V. Bolotnikov and Q. Fang, Transfer-function realization for multipliers of the Arveson space, J. Mathematical Analysis and Applications, to appear.
  • 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 Constantinescu Memorial Volume (Ed. J.Rovnyak and M. Putinar), Theta Press, Bucharest, to appear.

• Christopher Beattie

  • C. Beattie and W. M. Greenlee, Convergence Theorems for Intermediate Problems II, Proc. Royal Soc. Edinburgh. 132A (2002), 1057-1072.
  • C. Beattie and I. C. F. Ipsen, Inclusion Bounds for Matrix Eigenvalues, Linear Algebra and its Applications. 358 (2003), pp.281-291.
  • 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 Complex Flows (with E. Turgeon and D. Pelletier), Numerical Heat Transfer: Part B, Fundamentals, Vol. 42, No. 6, pages 485-498 (2002).
  • Sensitivity Analysis with Sliding Boundary Conditions (with E. Cliff and A. Godfrey), in Proceedings of the 40th AIAA Aerospace Sciences Meeting and Exhibition, AIAA Paper Number 2002-0100 (2002).
  • Sensitivity and Uncertainty Analysis for Turbulent Flows (with S. Etienne, D. Pelletier and E. Turgeon), in Proceedings of the 40th AIAA Aerospace Sciences Meeting and Exhibition, AIAA Paper Number 2002-0985 (2002).
  • Reliable Sensitivity Analysis via an Adaptive Sensitivity Equation Method (with D. Pelletier, E. Turgeon and S. Etienne), in Proceedings of the 3rd Theoretical Fluid Mechanics Meeting, AIAA Paper Number 2002-2758 (2002).
  • A Continuous Control Design Method (with J. Burns), in Proceedings of the 3rd Theoretical Fluid Mechanics Meeting, AIAA Paper Number 2002-2989 (2002).
  • On Sensitivity Analysis for Problems with Numerical Noise (with D. Pelletier and K. Vugrin), in Proceedings of the 9th AIAA Multidisciplinary Analysis and Optimization Meeting, AIAA Paper Number 2002-5553 (2002).
  • Parametric Uncertainty Analysis in a Phase Change Model (with J.-F. Hètu and D. Pelletier), in Proceedings of the 9th AIAA Multidisciplinary Analysis and Optimization Meeting, AIAA Paper Number 2002-5601 (2002).
  • Adaptivity, Sensitivity, and Uncertainty: Toward Standards of Good Practice in Computational Fluid Dynamics (with D. Pelletier, E. Turgeon and D. Lacasse), AIAA Journal, Vol. 41, No. 10, pages 1925-1933 (2003).
  • Second-Order Sensitivity Analysis for Conjugate Phase-Change Problems (with D. Pelletier and C. Winter), in Proceedings of the 41st Aerospace Sciences Meeting and Exhibition, AIAA Paper Number 2003-0512 (2003).
  • A Second Order Sensitivity Equation Method for Laminar Flows (with S. Etienne, J.-N. Mahieu and D. Pelletier), in Proceedings of the 10th Annual Conference of the CFD Society of Canada, (2003).
  • Sensitivity Analysis of Transient Non-Linear Heat Conduction (with S. Etienne, H. Hristova, J.-N. Mahieu and D. Pelletier), in Proceedings of the 10th Annual Conference of the CFD Society of Canada, (2003).
  • A Sensitivity Equation Method for Turbulent Heat Transfer (with E. Colin, S. Etienne and D. Pelletier), in Proceedings of the 36th AIAA Thermophysics Conference, AIAA Paper Number 2003-3636 (2003).
  • Optimization of an Integrated Actuator Placement and Robust Control Scheme for Distributed Parameter Processes Subject to Worst-Case Spatial Disturbance Distribution (with M. Demetriou), in Proceedings of the 2003 American Control Conference, (2003).
  • 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, to appear.

• Ezra Brown

• The many names of (7,3,1), Mathematics Magazine 75 (2002), 83-94.
• Elliptic curves from Mordell to Diophantus and back (with Bruce Myers), American Mathematical Monthly 109 (2002), 639-649.
• Three connections to continued fractions, Pi Mu Epsilon Journal 11 (2002), 241-250.
• The sliding ladder, Math Horizons 11 (September 2003), 31.
• 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? Fifteen Puzzlers for April First, Math Horizons, to appear.

• John Burns

• Boundary Layer Control of the Viscous Burgers',Equation, (with J. Myatt and L. Zeitsman), 2002 IEEE Conference on Control Applications, Glasgow, Scotland, 548-553.
• Functional Gain Computations for a 1D Parabolic Equation Using Non-Uniform Meshes, (with B. B. King and L. Zeitsman), Proceedings of 2002 MTNS, Paper 23323- 5, 11 pages.
• On the Computation of Singular Functional Gains for Linear Quadratic Optimal, (with B. B. King and L. Zeitsman), 2002 AIAA Flow Control Conference, St. Louis, MO, June, 2002, Paper AIAA 2002-3074, 7 pages.
• The Impact of Finite Precision Arithmetic and Sensitivity on the Numerical Solution of Partial Differential Equations, (with E. Allen, D. Gilliam, J. Hill and V. Shubov), Journal of Mathematical and Computer Modeling, 35 (2002), 1165-1195.
• Functional Gain Computations for Feedback Control of a Thermal Fluid, (with B. B. King, A. D. Rubio and L. Zeitsman), 2002 AIAA Flow Control Conference, St. Louis, MO, June, 2002, Paper AIAA 2002-2992, 11 pages.
• A Continuous Control Design Method, (with J. Borggaard), 2002 AIAA Flow Control Conference, St. Louis, MO, June, 2002, Paper AIAA 2002-2989, 10 pages.
• Modelling Modal Based Sensors for Oscillatory Systems, (with C. Byrnes, D. Gilliam and V. Shubov), 41st IEEE Conference on Decision and Control, December 2002, Paper WeM05-2, 6 pages.
• Computation of Feedback Operators for Distributed Parameter Systems with Non-Normal Linearizations, (with B. B. King, D. Krueger and L. Zeitsman), 2003 American Control Conference, June 2003, Paper TA04-2, 6 pages.
• Non-Linear Distributed Parameter Control Systems with Non-Normal Linearizations: Applications and Approximations, Research Directions in Distributed Parameter Systems, R. C. Smith and M. A. Demetriou, Eds., SIAM Publications, Philadelphia, 2003, 17-53.
• 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.
• ??? from here until ???END lines may have been inserted/deleted 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, to appear.
• 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.

• Martin Day

  • Robust Optimal Stopping-Time Control for Nonlinear Systems (co-authored with J. A. Ball and J. Chudoung), Appl. Math. & Optimization 46 (2002), pp. 1-29.
  • Robust Optimal Switching Control for Nonlinear Systems (co-authored with J. A. Ball and J. Chudoung), SIAM J. Control and Optimization. 41 (2002), pp. 900-931.
  • Robust Optimal Service Analysis of Single-Server Re-Entrant Queues (co-authored with J. Hall, J. Menendez, D. Potter, and I Rothstein), Computational Optimization and Applications 22 (2002), pp. 261-302.
  • 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.

• Eric de Sturler

  • A. Sheffer and E. de Sturler, Smoothing an Overlay Grid to Minimize Linear Distortion in Texture Mapping, ACM Transaction on Graphics 21(4), pp. 874-890, 2002.
  • E. de Sturler and J. Liesen, Fast Solution Methods and Preconditioners for Symmetric and Nonsymmetric Indefinite Systems, Householder Symposium XV: Proceedings of the Householder International Symposium in Numerical Algebra, Peebles, Scotland, June 17-21, 2002, pp. 47-50.
  • M. Campbell, X. Jiao, L. Kale, O. Lawlor, and E. de Sturler, Parallel Multi-Physics Integration Frameworks for Virtual Rocket Science, Proceedings of the 7th US National Congress on Computational Mechanics, July 2003, (on CD).
  • 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.
  • 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.

• Griffith Elder

  • G. Griffith Elder, On Galois structure of the integers in cyclic extensions of local number fields, Journal de Theorie des Nombres de Bordeaux, 14 no. 1 (2002), 113-149.
  • (6) Nigel P. Byott and G. Griffith Elder, Biquadratic Extensions with One Break, Canadian Mathematical Bulletin, 45 no. 2 (2002), 168-179.
  • Nigel P. Byott and G. Gridth Elder, New ramification breaks and additive Galois structure, Journal de Theorie des Nombres de Bordeaux, 17 (2005), 87-107.
  • G. Griffith Elder, The Galois structure of ambiguous ideals in cyclic extensions of degree 8, Noncommutative algebra and geometry, Lect. Notes Pure Appl. Math., Vol. 243, Chapman & Hall/CRC, Boca Raton, FL, 2006, pp. 63-89.
  • G. Griffith Elder and Jeffrey J. Hooper, On wild ramification in quaternion extensions, Journal de Theorie des Nombres de Bordeaux, to appear.
  • Nigel P. Byott and G. Griffith Elder, A valuation criterion for normal bases in elementary abelian extensions, The Bulletin of the London Mathematical Society, to appear.

• William Floyd

  • J. W. Cannon, W. J. Floyd, and W. R. Parry, "Twisted face-pairing 3-manifolds." Trans. Amer. Math. Soc. 354 2369-2397 (2002) (electronic)
  • W. Floyd, B. Weber, and J. Weeks, "The Achilles' heel of O(3,1)?" Exp. Math 11 91-97 (2002)
  • J. W. Cannon, W. J. Floyd, and W. R. Parry, "Heegaard diagrams and surgery descriptions for twisted face-pairing 3-manifolds." Algebr. Geom. Topol. 3 234-285 (2003) (electronic)
  • J. W. Cannon, W. J. Floyd, R. Kenyon, and W. R. Parry, "Constructing rational maps from finite subdivision rules." Conform. Geom. Dyn. 7 76-102 (2003) (electronic)
  • 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)

• David Gao

  • David Y. Gao, Jie-Fang Li and D. Viehland, Triality theory to Landau-Ginzburg equation in imperfect ferroelectrics, Proceedings of the 4th International Conference on Nonlinear Mechanics, W.Z. Chien (ed), Shanghaui University Press, 2002.
  • D.Y. Gao, Duality and triality in non-smooth, nonconvex and nonconservative systems: A survey, new phenomena and new results, in Nonsmooth/Nonconvex Mechanics with Applications in Engineering, edited by C. Baniotopoulos. Thessaloniki, Greece. 2002, pp. 1-14.
  • D.Y. Gao and P. Lin,Calculating global minimizers of a nonconvex energy potential, in Recent Advances in Computational Science & Engineering, edited by H.P. Lee and K. kumar, Imperial College Press, 2002, pp. 696-700.
  • Gao, D.Y., Duality and triality: Unify Mathematical Physics and Global Optimization, Plenary lecture, Proceedings of the 7th Asian Technology Conference in Mathematics, ATCM, Inc., 2002.
  • D.Y. Gao and R.W. Ogden, Advances in Mechanics and Mathematics, Vol. II., Kluwer Academic Publishers, Boston/Dordrecht/London, 2003, xviii+310pp.
  • D.Y. Gao, Perfect duality theory and complete set of solutions to a class of global optimization, Optimization, 52 (4-5):467-493, 2003.
  • D.Y. Gao, Duality, complementarity, and polarity in nonsmooth/nonconvex dynamics and global optimization. Proceedings of IUTAM Symposium on Complementarity, Duality and Symmetry in Nonlinear Mechanics, D.Y. Gao (eds). Kluwer Academic Publishers, 2003. pp. 21-65.
  • D.Y. Gao, Nonconvex semi-linear problems and canonical dual solutions. Advances in Mechanics and Mathematics, Vol. II, D.Y. Gao and R.W. Ogden (eds), Springer, 2003. pp. 261-312.
  • D.Y. Gao, Jie-Fang Li and D. Viehland. Tri-duality theory in phase transformations of ferroelectric crystals with random defects. Proceedings of IUTAM Symposium on Complementarity, Duality and Symmetry in Nonlinear Mechanics. Kluwer Academic Publishers, 2003. pp. 67-84.
  • 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.

• Edward Green

  • R.M. Aquino, E.L.Green, E.N. Marcos, Koszul and quasi-Koszul algebras obtained by tilting, Colloq. Math. 92, 197-224, (2002)
  • E.L. Green, O. Solberg, Hochschild cohomology rings and triangular rings, Proceedings of the Ninth International Conference, Beijing, 2000, eds. D. Happel and Y. B. Zhang, Beijing Normal University Press, vol. II, 2002, 192-200.
  • E.L. Green, E.N. Marcos, N. Snashall, The Hochschild cohomology ring of a one point extension, Comm. Algebra, 31 (2003) no. 1, 357-379
  • E.L. Green, E.N. Marcos, P. Zhang, Koszul modules and modules with linear presentations, Comm. Algebra 31 (2003), no 6, 2745-2770.
  • E.L. Green, N. Snashall, O. Solberg, The Hochschild cohomology ring of a selfinjective algebra of finite representation type, Proc. Amer. Math. Soc., 131 (2003) no. 11 3387-3393.
  • E.L. Green, E.N. Marcos, R. Martinez-Villa, P. Zhang, $N$-Koszul algebras, a summary. Théories d'homologie, représentations et algèbres de Hopf. AMA Algebra Montp. Announc. 2003 Paper 3, 6 pp. (electronic).
  • 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

• 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, 13 pp.
  • Lei, P. and W. Greenberg, "Nonlinear Kinetic Equations for Rigid Spheres wi with Weak Poisson Coupling and Diffusion,¡± International Journal of Ev olution 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), 1 ¨-11 (2007).
  • Greenberg, W. and M. Williams, "A New Algorithm for BLE (Boltzmann Lattice Equation) Numerics," in Proceedings of MSAS2006, F Seydou, ed., to appear, 10 pp.
  • 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, to appear, 18 pp.
  • Greenberg, W. and D. Song, "L^p Interpolation of Planar Neutron Transport with Reentry Boundary Conditions," Dynamics of Continuous, Discrete and Impulsive Systems A, to appear, 5 pp.
  • Greenberg, W. and M. Williams, "New Pedagogical Models for Instruction in Mathematics," in Mathematical Modeling, Simulation, Visualization and E-learning, Springer Verlag, Berlin, to appear, 10 pp.

• Serkan Gugercin

  • A.C. Antoulas and S. Gugercin. A new approach to model reduction which preserves stability and passivity. Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada, December 2002.
  • S. Gugercin, D.C. Sorensen, and A.C. Antoulas. A modified low-rank Smith method for large-scale Lyapunov Equations. Numerical Algorithms, Vol. 32, Issue 1, pp. 27-55, January 2003.
  • S. Gugercin, A.C. Antoulas, and H.P. Zhang. An approach to identification for robust control. IEEE Transactions on Automatic Control, Volume: 48 Issue: 6, June 2003.
  • S. Gugercin and A.C. Antoulas. Model reduction of large-scale dynamical systems through least-squares. Proceedings of SIAM Conference on Applied Linear Algebra, July 2003.
  • S. Gugercin and A.C. Antoulas. A survey of model reduction by balanced truncation. Proceedings of European Control Conference 2003, Cambridge, UK, September 2003.
  • S. Gugercin and A.C. Antoulas. A time-limited balanced reduction method. Proceedings of the 42nd IEEE Conference on Decision and Control, December 2003.
  • S. Gugercin and A.C. Antoulas. An error expression for the Lanczos procedure. Proceedings of the 42nd IEEE Conference on Decision and Control, December 2003.
  • 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 MTNS 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. In Proc. 45th IEEE CDC, 2006.
  • S. Gugercin and K. Willcox. Krylov projection methods for Fourier model reduction. Automatica, to appear.

• George Hagedorn

  • Hagedorn, G.A. and Joye, A.: Elementary Exponential Error Estimates for the Adiabatic Approximation. J. Math. Anal. Appl. 267, 235-246 (2002).
  • Hagedorn, G.A.: Simplifed Semiclassical Propagation Estimates. Advances in Differential Equations and Mathematical Physics. ed. by Y. Karpeshina, G. Stolz, R. Weikard, and Y. Zeng. Amer. Math. Soc. Contemporary Math. 327, 151-160 (2003).
  • 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. Contribution to a Festschrift in celebration of Barry Simon's 60th Birthday. AMS Proceedings of Symposia in Pure Mathematics. (to appear).
  • Hagedorn, G.A. and Joye, A.: Recent Results on Non-Adiabatic Transitions in Quantum Mechanics. In Recent Advances in Di®erential Equations and M Mathematical Physics. AMS Contemporary Mathematics Series. 412, Ed. by N. Chernov, Y. Karpeshina, I. Knowles, R. Lewis, and R. Weikard. 183-198 2006.

• Peter Haskell

  • (with J. Fox) Heat kernels for perturbed Dirac operators on even-dimensional manifolds with bounded geometry, International J. Math. 14 (2003), 69-104.
  • (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.

• Terry Herdman

• Parameter Identification for Nonlinear Abstract Cauchy Problems with Quasilinearization, (with P. Morin and R. Spies), Journal of Optimization Theory and Applications, May 2002, Vol. 113, No. 2, pp.227-250, May 2002
• A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels, (with Y. Cao and Y. Xu), SIAM Journal of Numerical Analysis, Vol. 41, No. 1, pp 364-381, 2003.
• 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.
• Singularity Expansion for a Class of Neutral Equations, (with Yanzhao Cao, Graciela Cerezo, and Janos Turi), JIE&A, to appear.

• James Holub

  • "Invertibility of operators on Hilbert space defined by frames", Bull. Polon. Acad. Sci., 50, No.3, 2002, p. 251-254.
  • " Riesz bases and positive operators on Hilbert space", Inter. Journal of Math. and Math. Sci., Vol 2003, p. 1173-1174.
  • "On a property of bases in Hilbert space", Glasgow J. Math., to appear.
  • "Bases of type UL and UL*, and positive cones", Rev. Roumai, to appear.

• Traian Iliescu

  • "Mathematical Analysis for the Rational Large Eddy Simulation Model", (with L. C. Berselli, G. P. Galdi, and W. J. Layton), Math. Models Meth. Appl. Sc., vol. 12 (8), 2002, pp. 1131-1152.
  • "Convergence of Finite Element Approximations of Large Eddy Motion", (with V. John and W. J. Layton), Num. Meth. P.D.E.s, vol. 18(6), 2002, pp. 689-710.
  • "A numerical study of a class of LES models", (with V. John, W. J. Layton, G. Matthies and L. Tobiska), Int. J. Comput. Fluid Dyn., vol. 17 (1), 2003, pp. 75-85.
  • "A Higher Order Subfilter-Scale Model for Large Eddy Simulation", (with L. C. Berselli), J. Comp. Appl. Math., vol. 159, 2003, pp. 411-430.
  • "Large Eddy Simulation of Turbulent Channel Flows by the Rational LES Model", (with P. Fischer), Physics of Fluids, vol. 15(10), 2003, pp. 3036-3047.
  • "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 Stratied 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.

• Jong Kim

  • Kim, J.U., On a stochastic nonlinear equation in one-dimensional viscoelasticity, Trans. Amer. Math. Soc., Vol.354, no.3, pp.1117-1135, 2002
  • Kim, J.U., On the stochastic Euler equations in a two-dimensional domain, SIAM J. Math. Analysis, Vol.33, no.5, pp.1211 - 1227, 2002
  • Kim, J., On a stochastic scalar conservation law, Indiana University Math. J., Vol.52, 2003, pp. 227 - 256
  • 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., to appear.

• Martin Klaus

  • Klaus M. and Shaw K., Purely imaginary eigenvalues of Zakharov-Shabat systems, Phys. Rev. E (3), 65 (2002) 036607-1/5.
  • Klaus M. and Shaw K., On the eigenvalues of Zakharov-Shabat systems. SIAM Journal of Mathematical Analysis, 34 (2003), 759-773.
  • 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).

• 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 with Boundary Value Problems, by Werner Kohler and Lee Johnson, Addison-Wesley (2003).
• 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)

• Tao Lin

• R.E. Ewing, T. Lin, and Y. Lin, On the accuracy of the finite volume element method based on piecewise linear polynomials, SIAM Journal on Numerical Analysis, Vol. 39, No. 6, pp. 1865-1888, 2002.
• Jing Lu, T. Lin, R. Rogers, and T. Lu, A mathematical model of horizontal wells pressure drawdown and buildup, Journal of Canadian Petroleum Technology, Vol. 41, No. 10, 2002, pp 45-57.
• T. Lin and J. Wang, An Immersed Finite Element Electric Field Solver for Ion Optics Modeling, AIAA Joint Propulsion Conference, AIAA 2002-4263, Indianapolis, IN, July, 2002.
• T. Lin and J. Wang, The Immersed Finite Element Method for Plasma Particle Simulation, AIAA Aerospace Sciences Meeting, AIAA 2003-0842, Reno, NV, Jan. 2003.
• Jing Lu, T. Lin, R. Rogers, and T. Lu, A supplemental discussion of productivity formulae of horizontal wells, Journal of Canadian Petroleum Technology, Vol. 42, No. 10, 2003, pp 23-27.
• J.G. Bai, G.-Q. Lu, J.N. Calata, and T. Lin, Potential Application of Magneto- Optical Current Sensing in Power Modules, 2003 Seminar Proceedings of The Center for Power Electronics Systems, pp. 468-474.
• Z. Li, T. Lin, and X. Wu, New Cartesian Grid Methods for Interface Problems Using Finite Element Formulation, Numerische Mathematik, 96(2003), 61-93.
• Jing Lu, T. Lin, R. Rogers, and T. Lu, A supplemental discussion of productivity formulae of horizontal wells, Journal of Canadian Petroleum Technology, Vol. 42, No. 10, 2003, pp 23-27.
• John G. Bai, Guo-Quan Lu, and T. Lin, Magneto-Optical Current Sensing for Applications in Integrated Power Electronics Modules, Sensors and Actuators, 109(2003), 1-16.
• 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.

• Peter Linnell

• Peter A. Linnell. Right orderable residually finite p-groups and a Kourovka Notebook problem. J. Algebra, 248(2):605–607, 2002.
• F. Thomas Farrell and Peter A. Linnell. K-theory of solvable groups. Proc. London Math. Soc. (3), 87(2):309-336, 2003.
• Józef Dodziuk, Peter Linnell, Varghese Mathai, Thomas Schick, and Stuart Yates. Approximating L2-invariants and the Atiyah conjecture. Comm. Pure Appl. Math., 56(7):839-873, 2003. Dedicated to the memory of J¨urgen K. Moser.
• F. Thomas Farrell and Peter A. Linnell. Whitehead groups and the Bass conjecture. Math. Ann., 326(4):723-757, 2003.
• Peter A. Linnell, Wolfgang Lueck, and Thomas Schick. The Ore condition, affiliated operators, and the lamplighter group. In High-dimensional manifold topology, pages 315-321. World Sci. Publ., River Edge, NJ, 2003.
• 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 L¨uck, 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., to appear.
• Peter A. Linnell and Thomas Schick. Finite group extensions and the Atiyah conjecture. J. Amer. Math. Soc., to appear.
• Peter A. Linnell, Akbar H. Rhemtulla, and Dale P. O. Rolfsen. Invariant group orderings and Galois conjugates. J. Algebra, to appear.

• Gwendolyn Lloyd

  • Lloyd, G. M. (2002). Reform-oriented curriculum implementation as a context for teacher development: An illustration from one mathematics teacher's experience. The Professional Educator, 24(2), 51-61.
  • Lloyd, G. M., & Behm, S. (2002). The impact of experiences with mathematics textbooks and curriculum materials on preservice elementary teachers' beliefs. In D. S. Mewborn, P. Sztajn, D. Y. White, H. G. Weigel, R. L. Bryant, & K. Nooney (Eds.), Proceedings of the 24th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (vol. 3, p. 1241). Columbus, OH: The ERIC Clearinghouse for Mathematics, Science, and Environmental Education.
  • Lloyd, G. M. (2002). Mathematics teachers' beliefs and experiences with innovative curriculum materials: The role of curriculum in teacher development. In G. Leder, E. Pehkonen, & G. Toerner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 149-159). Utrecht, The Netherlands: Kluwer Academic Publishers.
  • 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). 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. (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.
  • Behm, S. L., & Lloyd, G. M. (to appear). Factors influencing student teachers' interactions with mathematics curriculum materials. In B. A. Herbel-Eisenmann, G. M. Lloyd, & J. T. Remillard (Eds.), Teachers' use of mathematics curriculum materials: Research perspectives on relationships between teachers and curriculum.
  • Lloyd, G. M. (in press). Curriculum use while learning to teach: One student teacher's appropriation of mathematics curriculum materials. Journal for Research in Mathematics Education.
  • Lloyd, G. M. (to appear). Strategic compromise: A student teacher's design of kindergarten mathematics instruction in a high-stakes testing climate. Journal of Teacher Education. Lloyd, G. M. (to appear). Teaching high school mathematics with a new curriculum: Changes to classroom organization and interactions. Mathematical Thinking and Learning.

• Nicholas Loehr

  • "Trapezoidal lattice paths and multivariate analogues," Adv. in Appl. Math. 31 (2003), 597-629.
  • "Note on André's reflection principle," Discrete Math. 280 (2004), 233-236.
  • (with L. Heath) "New algorithms for generating Conway polynomials over £nite £elds," 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.

• Henning Mortveit

  • H. S. Mortveit and C. M. Reidys. Towards a calculus of biological networks. Z. Phys. Chem., 216:235-247, 2002.
  • C. L. Barrett, S. Eubank, M. Madhav, H. Mortveit, and C. Reidys. Science and engineering of large scale socio-technical simulations. In WMC 2000 (Western Multi Conference), 2002. LA-UR-01-6623.
  • Chris L. Barrett, Henning S. Mortveit, and Christian Reidys. Sequential dynamical systems. In Artificial Life and Robotics, Proceedings of the Sixth International Symposium on Artificial Life and Robotics, Tokyo, January 15-17, 2001, volume 6, pages 167–169, 2002.
  • C. L. Barrett, H. S. Mortveit, and C. M. Reidys. Elements of a theory of simulation IV: Fixed points, invertibility and equivalence. Appl. Math. Comput., 134:153-172, 2003.
  • Barrett C. L., Bisset K. R., Marathe M. M., H. S. Mortveit, and C. M. Reidys. Design, Specification and Analysis of AdHop Network. Technical Report LA-CP-03:0148, 2003.
  • 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. PSAPM. American Mathematical Society, 2007. To appear.

• Anderson Norton

  • Abramovich, S., & Norton, A. (2002). Computer-based graphing calculator as a tool for secondary teachers' re-conceptualization of pre-calculus. In Goodell, G. (Ed.), Proceedings of the 14th Annual International Conference for the Use of Technology in Mathematics Education. New York: Addison Wesley Longman.
  • Norton, A. (2002). Mathematicians' religious affiliations and professional practices: The case of Joseph. The Mathematics Educator, 11(1).
  • Norton, A. (2002). Mathematicians' religious affiliations and professional practices: The case of Charles. The Mathematics Educator, 11(2).
  • Norton, A. (2003). Mathematicians' religious affiliations and professional practices: The case of Bo. The Mathematics Educator, 12(1).
  • 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.

• 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 (to appear)

• Frank Quinn

• Quinn, Frank, Dual decompositions of 4-manifolds. Trans. Amer. Math. Soc. 354 (2002), no. 4, 1373--1392 (electronic).
• Quinn, Frank, Lectures on controlled topology: mapping cylinder neighborhoods. Topology of high-dimensional manifolds, No. 1, 2 (Trieste, 2001), 461--489, ICTP Lect. Notes, 9, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2002.
• Pedersen, Erik Kjaer; Quinn, Frank; Ranicki, Andrew. Controlled surgery with trivial local fundamental groups. High-dimensional manifold topology, 421--426, World Sci. Publ., River Edge, NJ, 2003.
• 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).

• Michael Renardy

  • (with Y. Renardy and V. Cristini), A volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio, Euro. J. Mech. B 21 (2002), pp. 49-59
  • Self-similar jet breakup for a generalized PTT model, J. Non-Newtonian Fluid Mech. 103 (2002), pp. 261-269
  • Higher order Neumann problems for Laplace's equation in two dimensions, Diff. Integral Eq. 15 (2002), pp. 1273-1279
  • Similarity solutions for jet breakup for various models of viscoelastic fluids, J. Non-Newtonian Fluid Mech. 104 (2002), pp. 65-74
  • The effect of upstream boundary conditions on stability of fiber spinning in the highly elastic limit, J. Rheol. 46 (2002), pp. 1023-1028
  • (with D. Losh), Similarity solutions for jet breakup in a Giesekus fluid with inertia, J. Non-Newtonian Fluid Mech. 106 (2002), pp. 17-27
  • (with Y. Renardy), PROST: A Parabolic Reconstruction Of Surface Tension for the volume-of-.uid method, J. Comp. Phys. 183 (2002), pp. 400-421
  • Surface tension driven breakup of viscoelastic jets, in: W.Z. Chien, C.J. Cheng, S.Q. Dai, X.M. Guo and L.Y. Dong (eds.), Proc. 4th Internat. Conf. Nonlinear Mech., Shanghai University Press 2002, pp. 129-131
  • Breakup asymptotics of viscoelastic jets, in: H. Muenstedt, J. Kaschta and A. Merten (eds.), Proc. 6th Eur. Conf. Rheol., Erlangen 2002, pp. 43-44
  • Spectrally determined growth for creeping flow of the upper convected Maxwell fluid, Semigroup Forum 66 (2003), pp. 171-178
  • (with Y. Renardy, S. Popinet, L. Duchemin, S. Zaleski, C. Josserand, M.A. Drumright-Clarke, D. Richard, C. Clanet and D. Quéré), Pyramidal and toroidal water drops after impact on a solid surface, J. Fluid Mech. 484 (2003), pp. 69-83.
  • Stress integration for the constitutive law of the upper convected Maxwell fluid near the corners in a driven cavity, J. Non-Newtonian Fluid Mech. 112 (2003), pp. 77-84.
  • Parallel shear flows of fluids with a pressure dependent viscosity, J. Non-Newtonian Fluid Mech. 114 (2003), pp. 229-236
  • (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 .ow of an upper convected Maxwell fluid, Z. angew. Math. Mech.
  • 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

• Yuriko Renardy

  • M. Renardy and Y. Renardy, 2003, `Stability and instability in viscous fluids', in Handbook of Mathematical Fluid Dynamics, vol. 2, eds. S. J. Friedlander and D. Serre, Elsevier Science. ISBN: 0-444-51287-X 5 pp. 223-287.
  • Y. Renardy, M. Renardy, V. Cristini, 2002, A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio. Eur. J. Mech. B/Fluids 21, pp. 49-59.
  • Y. Renardy, V. Cristini, J. Li, 2002, Drop fragment distributions under shear with inertia. Int. J. Multiphase Flow 28, pp. 1125-1147.
  • S. Wannaborworn, M. Mackley and Y. Renardy, 2002, Deformation and breakup of a drop under oscillatory shear. J. Rheol. 46(5), 1279-1293.
  • Y. Renardy, M. Renardy, 2002, PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method. J. Comp. Phys. 183(2), pp. 400-421.
  • Y. Renardy, S. Popinet, L. Duchemin, M. Renardy, S. Zaleski, C. Josserand, D. Richard, C. Clanet, D. Quere, M. A. Drumright-Clarke, 2003, Pyramidal and toroidal water drops after impact on a solid surface. Journal of Fluid Mechanics, 484 (2003), 69-83.
  • Y. Renardy, 2003, Direct simulation of drop fragmentation under simple shear, in Interfacial Fluid Dynamics and Transport Processes, Eds. R. Narayanan and D. Schwabe, Lecture Notes in Physics, Springer Verlag Berlin Heidelberg. ISBN 3- 540- 40583 -6. pp. 305-325.
  • D. Khismatullin, Y. Renardy and V. Cristini, 2003, Inertia-induced breakup of highly viscous drops subjected to simple shear, Physics of Fluids, Volume 15, Issue 5, pp.1351-1354.
  • 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., to appear.

• Robert Rogers

  • A supplemental discussion of productivity formulae of horizontal wells, (with Tao Lin, Jing Lu, and T. Lu), Journal of Canadian Petroleum Technology, Vol. 42, No. 10, 2003, pp 23-27,.
  • Michael Renardy and R.C. Rogers, An Introduction to Partial Differential Equations. Springer-Verlag, New York. 2nd Ed. 2003
  • 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, Growth of functions in cercles de remplissage, Journal Australian Math. Soc. 72 (2002) 131-136.
  • 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(pi*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.

• David Russell

• (with L.W. White) An elementary nonlinear beam theory with finite buckling deformation properties, SIAM J. Appl. Math., 62 (2002), pp. 1394- 1413.
• Boundary output specification in certain distributed parameter systems, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, 9(2002), No.3, 335-346
• (with David R. Schenck) A Formation Problem in Plane Elasticity, Systems and Control Letters, 48 (2002), pp. 281 - 288.
• Distributed Parameter Systems; an Overview, Encyclopedia of Life Sup- port Sciences, published by UNESCO.
• (with L. W. White) A nonlinear elastic beam system with inelastic contact constraints, Appl. Math. Optim. 46 (2002), pp. 291-312
• (with H. L. Johnson) Transfer function approach to output specification in certain linear distributed parameter systems, Proc. 4th Intl. Conf. Dyn. Syst. & Diff. Eqns, Wilmington, NC, 2002, Disc. & Cont. Dyn. Syst., Supplementary Volume, AIMS Press, 2003, pp. 449-458.
• Dynamics and Stabilization of an Elastic Tape Moving Axially Between Two Sets of Rollers, Operator Thy.: Adv. & Appl., 149(2004), pp. 525-538.
• (with H. L. Johnson) Boundary output determination for the internally actuated Euler-Bernoulli beam by transfer and Green's function methods, Int. J. Pur. Appl. Math., 9(2003), pp. 293-317.
• (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, to appear in Applied Mathematics and Optimization.
• The Betti Reciprocity Principle and the Normal Boundary Component Control Problem for Linear Elastic Systems, Journal of Global Optimization, Dec. 2006.
• On Some Modifications of the Harmonic Wavelets of T. Morita, Inter- disc. Inf. Sci., 12(2006), No. 2, pp. 1-10.

• Jennifer Ryan

  • J. Ryan, C.-W. Shu, On a one-sided post-processing technique for the discontinuous Galerkin methods, Methods and Applications of Analysis, 10(2003), 295-307.
  • J. Ryan, C.-W. Shu, H.L. Atkins, Extension of a Post-Processing technique for discontinuous Galerkin Methods for hyperbolic equations with application to an aeroacoustic problem, SIAM Journal on Scientific Computing, SIAM Journal on Scientific Computing, 26(2005), 821-843.
  • R. Archibald, A. Gelb, S. Gottlieb, J. Ryan, One-sided post-processing for the discontinuous Galerkin method using ENO type stencil choosing and the local edge detection method, Journal of Scientific Computing, 28(2006), 167-190.

• Ekkehard Sachs

  • [78] E. W. Sachs and S. Volkwein. Augmented Lagrange-SQP methods with Lipschitzcontinuous Lagrange multiplier updates. SIAM J. Numer. Anal., 40:233-253, 2002.
  • E. Arian, M. Fahl, and E. Sachs. Trust-region proper orthogonal decomposition models by optimization methods. In Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada, pages 3300 - 3305, 2002.
  • E. W. Sachs and M. Schulze. Convergence rates of Gauss-Newton methods for underdetermined systems. Technical report, Universitat Trier, Germany, 2002.
  • M. Fahl and E. W. Sachs. Reduced order modelling approaches to PDE-constrained optimization based on proper orthogonal decomposition. In L. T. Biegler, O. Ghattas, M. Heinkenschloss, and B. van Bloemen Waanders, editors, Large-Scale PDEConstrained Optimization, Lecture Notes in Computational Science and Engineering, Vol. 30, pages 268 - 280, Heidelberg, 2003. Springer-Verlag.
  • C. T. Kelley and E. W. Sachs. Truncated Newton methods for optimization with inaccurate functions and gradients. J. Optim. Theory Applic., 116:83 - 98, 2003.
  • E. W. Sachs and R. Tichatschke, editors. System Modeling and Optimization XX. Kluwer, Boston, Dordrecht, London, 2003.
  • E. W. Sachs and M. Schulze. Financial applications for large-scale neural networks. Technical report, Universitat Trier, Germany, 2003.
  • E. W. Sachs. Preconditioning for CG methods in Hilbert space. Technical report, Universitat Trier, Germany, 2004.
  • J. Maruhn and E. W. Sachs. Robust static super-replication of barrier options in the Black-Scholes model. In A. Kurdila, P. M. Pardalos, and M. Zabarankin, editors, Robust Optimization: Directed Design, pages 127 - 143, Heidelberg, 2006. Springer-Verlag.

• Mark Shimozono

• (with A. N. Kirillov) A generalization of the Kostka-Foulkes polynomials, J. Algebraic Combin. 15 (2002) 27-69.
• Affine type A Crystal Structure on Tensor Products of Rectangles, Demazure characters, and Nilpotent Varieties, J. Algebraic Combin. 15 (2002) 151-187.
• (with A. N. Kirillov and A. Schilling) A bijection between Littlewood- Richardson tableaux and rigged configurations, Selecta Math. (N.S.) 8 (2002) 67-135.
• (with D. E.White) Color-to-spin ribbon Schensted algorithms, Formal power series and algebraic combinatorics (Barcelona, 1999), Discrete Math. 246 (2002) 295-316.
• (with A. Schilling and D. E. White) Branching formula for q-Littlewood-Richardson coefficients, Formal power series and algebraic combinatorics (Scottsdale, AZ, 2001), Adv. in Appl. Math. 30 (2003), no. 1-2, 258-272.
• (with M. Okado and A. Schilling) Virtual crystals and Kleber's algorithm, Comm. Math. Phys. 238 (2003), no. 1-2, 187-209.
• (with M. Okado and A. Schilling) A tensor product theorem related to perfect crystals, J. Algebra 267 (2003), no. 1, 212-245.
• (with M. Okado and A. Schilling) Virtual crystals and fermionic formulas of type D^(2)_{n+1}, A^(2) _{2n} , and C^(1)_n , Represent. Theory 7 (2003), 101-163.
• (with M. Okado and A. Schilling) A crystal to rigged con- figuration bijection for nonexceptional a±ne algebras, "Algebraic Combinatorics and Quantum Groups", Edited by N. Jing, World Scientific (2003), 85-124.
• (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, Advances in Mathematics, to appear.
• (with Ghislain Fourier and Anne Schilling) Demazure structure inside Kirillov-Reshetikhin crystals, Journal of Algebra, to appear.

• 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

• Shu-Ming Sun

• L. Bona, S. M. Sun and B. Y. Zhang, A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter-plane, Transaction of the American Mathematical Society 354 (2002), 427--490
• S. M. Sun, Solitary internal waves in continuously stratified fluids of great depth, Physica D (2002) 166, 76--103.
• M. Grove, M. Haragus-Courcelle and S. M. Sun, A dimensional-breaking phenomenon in the theory of steady gravity-capillary water waves, Phil. Trans. Royal Soc. Lond. A. (2002) 360, 2189--2243.
• G. Iooss, E. Lombardi and S. M. Sun, Gravity traveling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation, Phil. Trans. Royal Soc. Lond. A. (2002) 360, 2245--2336.
• J. L. Bona, S. M. Sun and B. Y. Zhang, A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain, Comm. Partial Differential Equations (2003) 28, 1391--1436.
• J. L. Bona, S. M. Sun and B. Y. Zhang, Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane, Comm. Comtemp. Math. (2003) 5, 369--400.
• 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., to appear.

• 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

  • Controlling Transport Phenomena in the Czochralski Crystal Growth Process, Journal of Crystal Growth, 234, 47-62, 2002, with M. Gunzburger, E. Ozugurlu, and H. Zhang.
  • Modelling Control of Crystal Growth Processes, Journal of Computers & Mathematics with Applications, to appear.

• Peter Wapperom

  • P. Wapperom, R. Keunings and G. Ianniruberto, Prediction of rheometrical and complex flows of entangled linear polymers using the double-convection-reptation model with chain stretch, Journal of Rheology 47, 2003, p. 247-265
  • 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.

• Michael Williams

• "The Math Emporium: The Changing Academy or Changing the Academy", Developing Faculty to Use Technology, David Brown,Ed., 285-287, Anker Publishing, Bolton (2003).
• "Hidden Agendas: Emporium-Based Instruction", Proceedings of the International Conference on Education and Information Systems, (Orlando,2003) 111-115 (2003).
• "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)

• Xiangdong Xie

  • Groups acting on CAT(0) square complexes - Geometrae Dedicata 109 (2004), 59-88.
  • Foldable cubical complexes of nonpositive curvature - Algebraic and Geometric Topology 4 (2004), 603-622.
  • (with B.Apanasov) Discrete actions on nilpotent Lie groups and negatively curved spaces - Diffrential Geom. Appl. 20 (2004), no. 1, 111-29.
  • Tits alternative for closed real analytic 4-manifolds of nonpositive curvature - Topology and its applications 136 (2004), 87-121.
  • The Tits boundary of a CAT(0) 2-complex - Transactions of AMS 357 (2005), no. 4, 1627-1661.
  • Quasi-isometric rigidity of Fuchsian buildings - Topology 45 (2006) 101-169.
  • Growth of relatively hyperbolic groups - Proc. Amer. Math. Soc. 135 (2007), 695-704.
  • Quasimobius maps preserve uniform domains - Ann. Acad. Sci. Fenn. Math., to appear.

• Lizette Zietsman

  • On the Computation of Singular Functional Gains for Linear Quadratic Optimal Boundary Control Problems, ( with J. A. Burns and B. B. King), AIAA 2002- 3074, 3rd AIAA Meeting on Theoretical Fluid Mechanics, St Louis, MO, June 2002.
  • Functional Gain Computations for Feedback Control of a Thermal Fluid, (with J. A. Burns, B. B. King and A. D. Rubio), AIAA 2002-2992, 3rd AIAA Meeting on Theoretical Fluid Mechanics, St Louis, MO, June 2002.
  • Functional Gain Computations for a 1D Parabolic Equation using Non-uniform Meshes, (with J. A. Burns and B. B. King), 23323-5, MTNS, Indiana, August 2002.
  • Boundary Layer Control for the Viscous Burgers Equation, (with J. A. Burns and J. H. Myatt), CCA-548, IEEE CCA/CACSD 2002, Glasgow, Scotland, September 2002 .
  • Application of the Finite Element Method to the Vibration of a Rectangular Plate with Elastic Support at the Boundary (with A. J. van der Merwe and N. F. J. van Rensburg), Mathematical and Computer Modeling, 38, (309-322), 2003.
  • Computation of Feedback Operators for Distributed Parameter Systems with Non-Normal Linearizations (with J. A. Burns, B. B. King and, D. A. Krueger) Proceedings of the 2003 American Control Conference, Denver, CO, June 2003, (2083-2088).
  • 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.
  • 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.