John A. Burns

$Picture of Myself$

Office hours: 09:30 AM - 10:30 AM T-Th

Email:	jaburns@math.vt.edu
Telephone:	(540) 231-7667
Fax:	(540) 231-7079
Office:	ICAM, West Campus Drive

Interdisciplinary Center for Applied Mathematics
Virginia Tech
ICAM, West Campus Drive, Blacksburg, VA 24061, USA

John Burns is the Hatcher Professor of Mathematics in the Virginia Tech Department of Mathematics and a member of the Interdisciplinary Center for Applied Mathematics. He is a Fellow of the IEEE.

$*$ Research Interests: Distributed Parameter Control; Approximation, Control, Identification and Optimization of Functional and Partial Differential Equations; Aero-elastic Control Systems; Fluid/Structural Control Systems; Smart Materials; Optimal Design; Sensitivity Analysis.

Vitae

jaburns@math.vt.edu

Links

Report on Math for Energy

Department of Mathematics

Interdisciplinary Center for Applied Mathematics

Society for Industrial and Applied Mathematics

The Reid Lecture Video

The GPIC Video: Describes the DOE Building HUB

Current Graduate Students

Weiwei Hu

Christopher Jarvis

Boris Kraemer

Alan Lattimer

Past Graduate Students

P. D. Hirsch, Parameter Estimation in Differential-Delay Models, M.S. Thesis, Department of Mathematics, Virginia Tech, 1980.

J. Amillo-Gil, Nonlinear Neutral Functional Differential Equations in Product Spaces, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1981.

R. K. Powers, Chandrasekhar Algorithms for Distributed Parameter Systems, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1984.

R. Fabiano, Approximations of Integro-Partial Differential Equations of Hyperbolic Type, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1986.

R. Miller, Approximation of the LQR Control Problem for Systems Governed by Partial Functional Differential Equations, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1988.

Z. Liu, Approximation and Control of a Thermoviscoelastic System, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1989.

D. Hill, Finite Dimensional Approximations of Distributed Parameter Control Systems, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1989.

S. Kang, A Control Problem for Burgers Equation, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1990.

K. L. Oates, A Study of Control System Radii for Approximations of Infinite Dimensional Systems, M.S. Thesis, Department of Mathematics, Virginia Tech, 1991.

M. Tadi, An Optimal Control Problem for a Timoshenko Beam, Ph.D. Thesis, Department of Engineering Sciences and Mechanics, Virginia Tech, 1991.

R. D. Spies, Mathematical Modeling, Finite Dimensional Approximations and Sensitivity Analysis for Phase Transitions in Shape Memory Alloys, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1992.

H. Marrekchi, Dynamic Compensators for a Nonlinear Conservation Law, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1993.

W. Huang, Compensator Design for a System of Two Connected Beams, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1994.

J. Borggaard, The Sensitivity Equation Method for Optimal Design, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1994.

L. Zhang, Parameter Identification in Linear and Nonlinear Parabolic Partial Differential Equations, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1995.

S. M. Pugh, Finite Element Approximations of Burgers' Equation, M.S. Thesis, Department of Mathematics, Virginia Tech, 1995.

D. Rubio, Distributed Parameter Control of Thermal Fluids, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1997.

T. R. Bail, A Disturbance Rejection Problem for a 2D Airfoil, M.S. Thesis, Department of Mathematics, Virginia Tech, 1997.

S. D. Olds, Modeling and LQR Control of a Two-Dimensional Airfoil, M.S. Thesis, Department of Mathematics, Virginia Tech, 1997.

L. C. Smith, Finite Element Approximations of Burgers' Equation with Robin's Boundary Conditions, M.S. Thesis, Department of Mathematics, Virginia Tech, 1997.

K. L. Massa, Control of Burgers' Equation with Mixed Boundary Conditions, M.S. Thesis, Department of Mathematics, Virginia Tech, 1998.

D. L. Stewart, Numerical Methods for Accurate Computation of Design Sensitivities, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1998.

R. C. Camphouse, Approximations and Object-Oriented Implementation for a Parabolic Partial Differential Equation, M.S. Thesis, Department of Mathematics, Virginia Tech, 1999.

D. T. Herdman, Approximations for Singular Integral Equations, M.S. Thesis, Department of Mathematics, Virginia Tech, 1999.

L. G. Stanley, Computational Methods for Sensitivity Analysis with Applications to Elliptic Boundary Value Problems, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1999.

K. P. Hulsing, Methods for Computing Functional Gains for LQR Control of Partial Differential Equations, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 1999.

V. Q. Nguyen, A Numerical Study of Burgers' Equation with Robin Boundary Conditions, M.S. Thesis, Department of Mathematics, Virginia Tech, 2001.

R. C. Camphouse, Modeling and Numerical Approximations of Optical Activity in the Chemical Oxygen-Iodine Laser, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 2001.

E. D. Vugrin, On Approximation and Optimal Control of Non-normal Distributed Parameter Systems, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 2004.

J. Singler, Sensitivity Analysis of Partial Differential Equations With Applications to Fluid Flow, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 2005.

G. Newbury, A Numerical Study of a Delay Differential Equation Model for Breast Cancer, M.S. Thesis, Department of Mathematics, Virginia Tech, August, 2007 .

A. Childers, Parameter Identification and the Design of Experiments for Continuous Non-Linear Dynamical Systems, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 2009.

C. N. Rautenberg, A Distributed Parameter Approach to Optimal Filtering and Estimation with Mobile Sensor Networks, Ph.D. Thesis, Department of Mathematics, Virginia Tech, 2010.

B. Kraemer, Model Reduction of the Coupled Burgers Equation in Conservation Form, M.S. Thesis, Department of Mathematics, Virginia Tech, August, 2011.

B. K. McBee, Computational Approaches to Improving Room Heating and Cooling for Energy Efficiency in Buildings, Ph.D. Thesis, Department of Mathematics, Virginia Tech, August, 2011.