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Research Focus:

Professor Shampine began working in numerical analysis just as it was emerging as a discipline and later helped start the subdiscipline of mathematical software. He joined SMU after a distinguished career at Sandia National Laboratories, where he was supervisor of the Numerical Mathematics Division. He is the author of several items of mathematical software used around the world and is a past president of the Association of Computer Machinery's (ACM's) Special Interest Group on Numerical Mathematics (SIGNUM). He has held numerous editorial positions and is an associate editor of the SIAM Journal on Numerical Analysis.

Much of his research has been directed toward more effective numerical solution of ordinary differential equations (ODEs). He is developing methods and software appropriate for graphical user interfaces. This work is being used for computer experiments in courses on ODEs and for scientific computation in the MATLAB environment.

He is the author of four books: Nonlinear Two-Point Boundary Value Problems; Numerical Computing: An Introduction; Numerical Solution of Ordinary Differential Equations: The initial Value Problem; and Numerical Solution of Ordinary Differential Equations. His recent research has appeared in journals such asComputers and Mathematics with Applications, SIAM Journal of Numerical Analysis, SIAM Journal of Scientific and Statistical Computation, Journal of Computational and Applied Mathematics, Applied Numerical Mathematics, and Mathematics of Computation.