Adaptive Multiscale Schemes for Conservation Laws

Siegfried Müller

196 pages, parution le 31/12/2002

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Résumé

The main theme of the book centers around adaptive numerical schemes for conservation laws based on a concept of multiresolution analysis. Efficient algorithms are presented for implementing this program for finite volume schemes on unstructured grids for general systems of multidimensional hyperbolic conservation laws. The efficiency is verified for several realistic numerical test examples. In addition, a rather thorough error analysis is supporting the approach. The monograph covers material ranging from the mathematical theory of conservation laws to the nitty-gritty of hash tables and memory management for an actual implementation. This makes it a self-contained book for both numerical analysts interested in the construction and the theory of adapative finite volume schemes as well as for those looking for a detailed guide on how to design and implement adaptive wavelet based solvers for real world problems. Since modern techniques are presented in an appealing way, the material is also well suited for an advanced course in numerical mathematics.

Contents

Model Problem and its Discretization
Multiscale Setting
Locally Refined Spaces
Adaptive Finite Volume Scheme
Error Analysis
Data Structures and Memory Management
Numerical Experiments
Plots of Numerical Experiments

L'auteur - Siegfried Müller

RWTH Aachen, Germany

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Siegfried Müller
Parution	31/12/2002
Nb. de pages	196
Format	15,5 x 23,5
Couverture	Broché
Poids	318g
Intérieur	Noir et Blanc
EAN13	9783540443254