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Numerical Methods for Conservation Laws (Lectures in Mathematics. ETH Zürich) - Softcover

LeVeque, Randall J.

 
9783764327231: Numerical Methods for Conservation Laws (Lectures in Mathematics. ETH Zürich)
Softcover
ISBN 10: 3764327235 ISBN 13: 9783764327231
Verlag: Birkhäuser Verlag, 2008

Inhaltsangabe

These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.

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Verlag
Birkhäuser Verlag
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3764327235
ISBN 13 
9783764327231
Einband
Taschenbuch
Auflage
2
Anzahl der Seiten
232
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