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Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws Francois Bouchut

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws By Francois Bouchut

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws by Francois Bouchut


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Summary

The schemes are analyzed regarding their nonlinear stability

Recently developed entropy schemes are presented

A formalism is introduced for source terms

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws Summary

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

The schemes are analyzed regarding their nonlinear stability

Recently developed entropy schemes are presented

A formalism is introduced for source terms

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws 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)

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

Additional information

NLS9783764366650
9783764366650
3764366656
Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources by Francois Bouchut
New
Paperback
Birkhauser Verlag AG
2004-06-25
134
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws