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

Langtangen, Hans Petter (EDT); Tveito, Aslak (EDT)

ISBN 10: 3540014381 / ISBN 13: 9783540014386

Editore: Springer, 2003

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Dati bibliografici

• Titolo: Advanced Topics in Computational Partial Differential Equations : Numerical Methods and Diffpack Programming
• Editore: Springer
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 3540014381
• ISBN 13: 9783540014386
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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.

Dalla quarta di copertina

The book is suitable for readers with a background in basic finite element and finite difference methods for partial differential equations who wants gentle introductions to advanced topics like 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, so to take advantage of these examples 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 discretization methods, algorithms, software design, verification, and computational examples.