Numerical Methods for Conservation Laws

Name: Numerical Methods for Conservation Laws
Price: 23.84 USD
Availability: InStock
ISBN: 9783764327231

ISBN-10: 3764327235

ISBN-13: 9783764327231

Edition: 2nd 1992 (Revised)

Authors: Randall J. Leveque

List price: $44.99

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Description:

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…

Book details

List price: $44.99
Edition: 2nd
Copyright year: 1992
Publisher: Springer Basel AG
Publication date: 8/29/2008
Binding: Paperback
Pages: 220
Size: 6.69" wide x 9.61" long x 0.20" tall
Weight: 1.232
Language: English




Introduction



The Derivation of Conservation Laws



Scalar Conservation Laws



Some Scalar Examples



Some Nonlinear Systems



Linear Hyperbolic Systems



Shocks and the Hugoniot Locus



Rarefaction Waves and Integral Curves



The Riemann problem for the Euler equations



Numerical Methods for Linear Equations



Computing Discontinuous Solutions



Conservative Methods for Nonlinear Problems



Godunov's Method



Approximate Riemann Solvers



Nonlinear Stability



High Resolution Methods



Semi-discrete Methods



Multidimensional Problems


Bibliography