Advanced Topics in Computational Partial Differential Equations: Numerical Methods and Diffpack Programming

by Hans Petter Langtangen (Editor), Aslak Tveito (Editor)

A gentle introduction to advanced topics such as parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to ‘compute’ solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment - some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through to discretization methods, algorithms, software design, verification, and computational examples. Suitable for readers with a background in basic finite element and finite difference methods for partial differential equations.

682 pages, Paperback

First published October 29, 2003