Numerical methods for elliptic and parabolic partial differential equations

Peter Knabner, Lutz Hangermann

436 pages, parution le 07/08/2003

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Résumé

This book covers numerical methods for partial differential equations: discretization methods such as finite difference, finite volume and finite element methods; solution methods for linear and nonlinear systems of equations and grid generation.

The book takes account of both the theory and implementation, providing simultaneously both a rigorous and an inductive presentation of the technical details. It contains modern topics such as adaptive methods, multilevel methods and methods for convection-dominated problems. Detailed illustrations and extensive exercises are included.

It will provide mathematics students with an introduction to the theory and methods, guiding them in their selection of methods and helping them to understand and pursue finite element programming. For engineering and physics students it will provide a general framework for formulation and analysis of methods providing a broader perspective to specific applications.

For Example: Modelling Processes in Porous Media with Differential Equations
For the Beginning: The Finite Difference Method for the Poisson Equation
The Finite Element Method for the Poisson Equation
The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order
Grid Generation and A Posteriori Error Estimation
Iterative Methods for Systems of Linear Equations
The Finite Volume Method
Discretization Methods for Parabolic Initial Boundary Value Problems
Iterative Methods for Nonlinear Equations
Discretization Methods for Convection-Dominated Problems

Appendices
References
Index

L'auteur - Peter Knabner

Universität Erlangen-Nürnberg, Erlangen, Germany.

L'auteur - Lutz Hangermann

Universität Clausthal-Zellerfeld, Clausthal, Germany.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Peter Knabner, Lutz Hangermann
Parution	07/08/2003
Nb. de pages	436
Format	16 x 24
Couverture	Relié
Poids	760g
Intérieur	Noir et Blanc
EAN13	9780387954493
ISBN13	978-0-387-95449-3