George Washington University Columbian College of Arts and Sciences Mathematics ProfessorAppointed: 1991 | |
QualificationsPh.D., University of Saskatchewan, 1971. M.Sc., University of Saskatchewan (Canada), 1969. M.Sc., Agra University, 1965. B.Sc., Agra University, 1963. Expertise and Research InterestsMy research interests are in the following areas:
Acceleration techniques for iterative methods
High accuracy solutions of partial differential equations
High accuracy solutions of problems of fluid mechanics
Multigrid and multilevel techniques
Incompressible viscous flows
High accuracy solution methods for partial differential equations
Derivation of finite difference methods using symbolic computation
Computational software for advanced numerical modeling
Reliability of computational processes
Use of technology in mathematics education
Other ExpertiseAcademic Experience:
- Book reviewer for Applied Mechanics Reviews
- Book and Article Reviewer for Mathematical Reviews
- Proposal reviewer for National Science Foundation (NSF), U.S. Department of Education, U.S. Israel Binational Science Foundation
- Reviewer of manuscripts for professional journals
- Reviewer of manuscripts and software for commercial publishers
Business Experience:
- Reviewer of manuscripts and software for commercial publishers KeywordsCOS Keywords:Computer Software, Computer-Aided Instruction, Fluid Mechanics, Mathematical Modeling, Mathematics Education.Additional Terms:Biharmonic Equation, Compact Method, Computational Software, Computer Calculus, Computer Classroom, Computer Software, Convergence Acceleration, Differential Equation, Driven Cavity, Fluid Mechanics, Iterative Method, Mathematics Education, Multigrid, Navier Stokes Equation, Numerical Modeling, Symbolic Computation, Viscous Flow.Languages(Reading, Writing, Speaking)Hindi: (Fluent, Fluent, Fluent) Russian: (Functional, Basic, Basic) MembershipsAmerican Mathematical Society Mathematical Association of America Society for Industrial and Applied Mathematics Previous Positions1981-1991, The George Washington University, Associate Professor 1978-1981, The George Washington University, Assistant Professor 1992-1992, Queensland University of Technology, Visiting Professor 1985-1986, Mathematical Reviews, Associate Editor 1977-1978, The University of Saskatchewan, Visiting Professor 1974-1977, Papua New Guinea University of Technology, Senior Lecturer 1972-1973, University of Western Australia, Lecturer Funding Received- National Security Agency:
Summer program for undergraduate women in mathematics,
$162,563,
May 2001
to May 2002.
- National Security Agency:
Summer program for undergraduate women in mathematics,
$158,500,
May 2000
to May 2001.
- National Security Agency:
Summer program for undergraduate women in mathematics,
$123,253,
May 1999
to May 2000.
- National Security Agency:
Summer program for undergraduate women in mathematics,
$120,165,
May 1998
to May 1999.
- National Security Agency:
Summer program for undergraduate women in mathematics,
$94,763,
May 1997
to May 1998.
- National Security Agency:
Summer program for undergraduate women in mathematics,
$94,003,
May 1996
to May 1997.
- Summer program for undergraduate women in mathematics, National Security Agency, $62,992, June 1, 1995-May 31, 1996
Publications- M. M. Gupta, J. Zhang, High accuracy multigrid solution of the 3D convection diffusion equation, Applied Mathematics and Computation, 113, 249-274, 2000
- M. M. Gupta, Five years of Summer Program for Women in Mathematics at The George Washington University, Proceedings of the Conference on Summer Undergraduate Mathematics Research Programs, September- October 1999, (J. Gallian, Ed.), American Mathematical Society, 237-244, 2000
- I. Altas, J.Dym, M. M. Gupta, R. Manohar, Multigrid Solution of Automatically Generated High Order Discretizations for the Biharmonic Equation, SIAM Journal on Scientific Computing, 19, 1575-1585, September 1998
- M. M. Gupta, J. Kouatchou, Symbolic derivation of finite difference approximations for three- dimensional Poisson equations, Numerical Methods for Partial Differential Equations, 14, 593-606, 1998
- M. M. Gupta, J. Kouatchou, J. Zhang, A Compact Multigrid Solver for Convection- Diffusion Equations, Journal of Computational Physics, 132, 123-129, 1997
- M. M. Gupta, J. Kouatchou, J. Zhang, Comparison of Second and Fourth Order Discretizations for Multigrid Poisson Solvers, Journal of Computational Physics, 132, 226-232, 1997
- I. Altas, M. M. Gupta, High accuracy multigrid techniques for the biharmonic equations, Mathematical Modelling and Scientific Computing, 8, 1997
- M. M. Gupta, Graphic Calculators in the Calculus Classroom, SIAM News, 26, 18, 21, 1993
- M. M. Gupta, High Accuracy Solutions of Incompressible Navier- Stokes Equations, Journal of Computational Physics, 93, 343-359, 1991
- M. M. Gupta, A spectrum enveloping technique for iterative solution of central difference approximations of convection diffusion equations, SIAM journal on Algebraic and Discrete Methods, 7, 513-526, 1986
- M. M. Gupta, R. Manohar, J.W. Stephenson, High order difference schemes for two dimensional elliptic equations, Numerical Methods for Partial Differential Equations, 1, 71-80, 1985
- M. M. Gupta, R. Manohar, J.W. Stephenson, A Single Cell High Order Difference Scheme for the Convection-Diffusion Equation with Variable Coefficients, International Journal of Numerical Methods in Fluids, 4, 641-651, 1984
- M. M. Gupta, A Fourth-Order Poisson Solver, Journal of Computational Physics, 55, 166-172, 1984
Profile DetailsIndividual Expertise profile of Murli M. Gupta, Copyright Murli M. Gupta. © COS Expertise TM, 2009, ProQuest LLC All rights reserved. |