Numerical Methods for Conservation Laws (Lectures in Mathematics) - Randall J. Leveque (1992)
ISBN 0817627235
Subject Conservation laws (Mathematics); Differential equations, Hyperbolic - Numerical solutions; Shock waves
Publisher Birkhauser
Publication Date February 1992
Format Paperback (238 x 168 mm)
Language e

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.

Personal Details
Collection Status In Collection
Index 688
Read It Yes
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Product Details
LoC Classification QA377 .L4157 1992
Dewey 515/.353
Edition 2nd ed.
Cover Price $37.95