Advanced topics in computational partial differential equations

Series: Lecture Notes in Computational Science and Engineering , Vol. 33

Hans Peter Langtangen, Aslak Tveito, Collectif Springer

678 pages, parution le 13/11/2003

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Résumé

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.

Contributors : X. Cai, E. Acklam, K.-A. Mardal, G. W. Zumbusch, J. Sundnes, A. Odegard, H. Osnes, M. Bruaset, G. T. Lines, K. Samuelsson, W. Shen, J. Sundnes, G.T. Lines, P. Grottum, O. Skavhaug, B. F. Nielsen, T. Thorvaldsen, K. M. Okstad, T. Kvamsdal, A. Kjeldstad, J. Skogseid, K. Bjorlykke

Parallel Computing
Overlapping Domain Decomposition Methods
Software Tools for Multigrid Methods
Mixed Finite Elements
Systems of PDEs and Block Preconditioning
Fully Implicit Methods for Systems of PDEs
Stochastic Partial Differential Equations
Using Diffpack from Python Scripts
Performance Modeling of PDE Solvers
Electrical Activity in the Human Heart
Mathematical Models of Financial Derivatives
Numerical Methods for Financial Derivatives
Finite Element Modeling of Elastic Structures
Simulation of Aluminum Extrusion
Simulation of Sedimentary Basins

L'auteur - Hans Peter Langtangen

Simula Research Laboratory, Lysaker, and Dept. of Informatics, University of Oslo, Norway

L'auteur - Collectif Springer

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Hans Peter Langtangen, Aslak Tveito, Collectif Springer
Parution	13/11/2003
Nb. de pages	678
Format	15,5 x 23,5
Couverture	Broché
Poids	965g
Intérieur	Noir et Blanc
EAN13	9783540014386