Computational Partial Differential Equations : Numerical Methods and Diffpack Programming

Hans P. Langtangen

ISBN 10: 354043416X / ISBN 13: 9783540434160

Edité par Springer Berlin Heidelberg, 2003

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - The second edition features lots of improvements and new material. The most significant additions include - finite difference methods and implementations for a 1D time-dependent heat equation (Chapter 1. 7. 6), - a solver for vibration of elastic structures (Chapter 5. 1. 6), - a step-by-step instruction of how to develop and test Diffpack programs for a physical application (Chapters 3. 6 and 3. 13), - construction of non-trivial grids using super elements (Chapters 3. 5. 4, 3. 6. 4, and 3. 13. 4), - additional material on local mesh refinements (Chapter 3. 7), - coupling of Diffpack with other types of software (Appendix B. 3) - high-level programming offinite difference solvers utilizing the new stencil (finite difference operator) concept in Diffpack (Appendix D. 8). Many of the examples, projects, and exercises from the first edition have been revised and improved. Some new exercises and projects have also been added. A hopefully very useful new feature is the compact overview of all the program examples in the book and the associated software files, presented in Chapter 1. 2. Errors have been corrected, many explanations have been extended, and the text has been upgraded to be compatible with Diffpack version 4. 0. The major difficulty when developing programs for numerical solution of partial differential equations is to debug and verify the implementation. This requires an interplay between understanding the mathematical model,the in volved numerics, and the programming tools.

N° de réf. du vendeur 9783540434160

Détails bibliographiques

• Titre: Computational Partial Differential Equations : Numerical Methods and Diffpack Programming
• Éditeur: Springer Berlin Heidelberg
• Date de parution: 2003
• Langue: anglais
• ISBN à 10 chiffres: 354043416X
• ISBN à 13 chiffres: 9783540434160
• Reliure: Buch
• Édition: 2ème Édition
• État de l'article: Neu

A propos de ce titre

Synopsis

This text teaches finite element methods and basic finite difference methods from a computational point of view. It emphasizes developing flexible computer programs using the numerical library Diffpack, which is detailed for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. This edition offers new applications and projects, and all program examples are available on the Internet.