Electronic Journal of Differential Equations, Conference 03, 1999.
Proceedings of the
Fourth Mississippi State Conference
on Difference Equations and Computational Simulations
With the advent and rapid development of high performance computing and
communication (HPCC) and robust and efficient mathematical/numerical algorithms,
computational simulation has rapidly emerged as an essential tool for
engineering analysis and design environment. It has fundamentally changed the
way the underlying principles of science and engineering are applied to
research, design, and development. Computational simulations involve (i) a
system of differential equations representative of the physical phenomena
(mathematical model); (ii) a numerical method to simulate the mathematical
models; and (iii) an efficient sequential/parallel/distributed computing
environment requiring an interdisciplinary collaboration between various
scientific and engineering fields. A truly multidisciplinary conference on
Differential Equations and Computational Simulation, biannually organized by the
Department of Mathematics and Statistics and the NSF Engineering Research Center
(NSF/ERC) at Mississippi State University (MSU), provides a joint forum where
mathematicians, scientists, and engineers from industries, federal laboratories,
and academia exchange research and development ideas. An overall goal for the
series of conferences is to promote research and education in mathematical and
computational analysis of theoretical and applied differential equations.
The first three Mississippi State Conferences on Differential Equations and
Computational Simulations were held March 19-20, 1993, April 7-8, 1995, and May
16-17, 1997. Special issues of the Journal of Applied Mathematics and
Computation (65:1-3, 1994 and 89:1-3, 1998) and of the electronic Journal of
Differential Equations (Conference-01, 1997) were dedicated to the reviewed
papers presented during these conferences.
The technical success of the first three conferences has led to a traditional
offering of these biannual conferences. The fourth Mississippi State Conference
on Differential Equations and Computational Simulations took place May 21-22,
1999. More than 110 researchers attended the fourth conference. Invited
principal lectures were
In addition, 72 contributed papers, representing speakers from eight countries,
were presented during the two days of meetings. Professors Rathasingham Shivaji
and Bharat Soni served as conference organizers while Professor Jianping Zhu
served as the Program Chair.
- Lawrence C. Evans, University of California, Berkeley,
Homogenization of Hamilton-Jacobi PDE and Hamiltonian ODE
- Charbel Farhat, University of Colorado, Boulder,
Conservation Laws for the Solution of Systems of Differential
Equations Governing CFD Problems with Moving Grids, and Fluid/Structure
- Irene Fonseca, Carnegie Mellon University,
New Developments in Partial Differential Equations and in the
Calculus of Variations: Applications to Problems in Materials Science
- Ahmed Noor, University of Virginia,
Pathway to the Future of Simulation and Learning
- James Serrin, University of Minnesota,
The Status of the Ground State Problem for Quasilinear Elliptic Operators
- Paul Waltman, Emory University,
A Perturbation Theorem with Applications to a Model of the Diffusive
- Mary Wheeler, University of Texas, Austin,
Synthetic Environments for Modeling Subsurface Flows
The papers represent research in the following multidisciplinary areas:
We would like to thank the participants and principal speakers for their useful
contributions to the success of the conference and subsequent papers. We
gratefully acknowledge the support provided by the National Science Foundation
and the Dean of Arts and Sciences, the Dean of Engineering, Vice President for
Research, and the faculty and staff of the Department of Mathematics and
Statistics and the NSF Engineering Research Center at MSU.
We appreciate the diligence and responsiveness of the reviewers of the
manuscripts. As this goes to press, the Fifth Mississippi State Conference on
Differential Equations and Computational Simulations has been planned for May
18-19, 2001 at Mississippi State University. We are confident that the
tradition of technical success from the first four conferences will continue.
- Mathematical Development/Analysis-Bifurcation theory, ordinary and partial
differential equations involving reaction-diffusion, stability, and existence
and uniqueness theories associated with boundary value problems.
- Computational/Numerical Techniques - Computational fluid dynamic involving free surface
flows and moving boundaries, grid generation and adaptive methods, and parallel algorithms.
Applications pertinent to wind engineering and aerospace, automotive and space
vehicle design and analysis were presented.
- Inverse Problems - Parameter identifications involving nonlinear systems
and inverse scattering.
Special Issue Editors
John Graef, Rathasingham Shivaji, Jiangping Zhu
Department of Mathematics and Statistics.
Department of Aerospace Engineering
Mississippi State University.
Back to the Table of Contents for the
Fourth Mississippi State Conference.
Go to the Proceedings of Conferences: Electron. J. Diff. Eqns.