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Computational Partial Differential Equations
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Computational Partial Differential Equations

Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

Hans Peter Langtangen

882 pages, parution le 29/01/2003 (2eme édition)

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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