Computational Partial Differential Equations
Numerical Methods and Diffpack Programming
Résumé
The target audience of this book is students and researchers in computational sciences who need to develop computer codes for solving partial differential equations. The exposition is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view. The main emphasis regards development of flexible computer programs, using the numerical library Diffpack. The application of Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. Diffpack is a modern software development environment based on C++ and object-oriented programming. All the program examples, as well as a test version of Diffpack, are available for free over the Internet. The second edition contains several new applications and projects, improved explanations, correction of errors, and is up to date with Diffpack version 4.0.
Keywords: Diffpack, computation programming, partial differential equations
Contents
- Getting Started
- Introduction to Finite Element Discretization.
- Programming of Finite Element Solvers.
- Nonlinear Problems
- Solid Mechanics Applications
- Fluid Mechanics Applications
- Coupled Problems
- A Mathematical Topics
- B Diffpack Topics
- C Iterative Methods for Sparse Linear Systems
- D Software Tools for Solving Linear Systems.
L'auteur - Hans Peter Langtangen
Simula Research Laboratory, Lysaker, and Dept. of Informatics, University of Oslo, Norway
Caractéristiques techniques
PAPIER | |
Éditeur(s) | Springer |
Auteur(s) | Hans Peter Langtangen |
Parution | 29/01/2003 |
Édition | 2eme édition |
Nb. de pages | 882 |
Format | 16 x 24 |
Couverture | Relié |
Poids | 1379g |
Intérieur | Noir et Blanc |
EAN13 | 9783540434160 |
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