Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources

by Franïois Bouchut

Overview

The schemes are analyzed regarding their nonlinear stability

Recently developed entropy schemes are presented

A formalism is introduced for source terms

Product Details

ISBN-13:	9783764366650
Publisher:	Birkh�user Basel
Publication date:	03/23/2005
Series:	Frontiers in Mathematics
Edition description:	2004
Pages:	134
Product dimensions:	6.69(w) x 9.61(h) x 0.02(d)

Table of Contents

Introduction.- 1. Quasilinear systems and conservation laws.- 2. Conservative schemes.- 3. Source terms.- 4. Nonconservative schemes.- 5. Multidimensional finite volumes with sources.- 6. Numerical test with source.- Bibliography

Editorial Reviews

From the reviews:

“This is a very interesting and useful book which provides a systematic presentation of the theory of finite volume methods and numerical simulations for hyperbolic systems of conservation laws. The author provides a unified approach and notation to the study of nonlinear stability of finite volume methods for hyperbolic systems of conservation laws as the accent is put on the development of tools and design of schemes. The exposition of the book is very clear. It will be a very useful tool for the researchers in this field as well as for engineers.”(ZENTRALBLATT MATH)

From the Publisher