ENGLISH

Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources

By François Bouchut

Book information

Publisher
Birkauser
Year
2004
ISBN
9783764366650, 3764366656
Open Library ID
OL9090694M
Language
english
Format
PDF
Filesize
2 MB (1732936 bytes)
Series
Frontiers in mathematics
Edition
1
Pages
143\143
Topic
Jurisprudence Law
Orientation
no
Scanned
no
Time added
2010-02-18 13:16:04

Description

This book is devoted to finite volume methods for hyperbolic systems of conservation laws. The accent is put on the development of tools for analyzing the nonlinear stability of Godunov schemes. Starting from theoretical considerations, the schemes are derived until a very practical level, meeting some required features such as for example the treatment of vacuum in gas dynamics. In the case of sources, the general notions of consistency, order of accuracy and well-balancing are developed, and applied to the construction of effective schemes.

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