Group Theory and Numerical Analysis

by Workshop on Group Theory and Numerical A, A. Iserles (Editor), D. Levi (Editor)

These proceedings of a workshop held in May 2003 include papers about the application of group theory and geometrical methods to the solution of differential and difference equations, with an emphasis on the combination of analytical and numerical methods and also the use of symbolic computation. The papers include such topics Lie group integrators, geometric integrators, and exponential integrators; symbolic computation and solutions of ordinary differential equations, partial differential equations and differential-difference equations; symmetry preserving discretization of ordinary and partial differential equations; discrete and finite Fourier transforms and data processing; boundary layer perturbation theory and its symmetry respecting discretization; discrete symmetries of difference and differential difference equations; numerical methods for treating rapid oscillations; orthogonal polynomials related to Padé approximations; and applications in biophysics and physics. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)

298 pages, Paperback

First published January 1, 2005