ENGLISH

Numerical methods for conservation laws

By Randall J. LeVeque , R. Leveque

Book information

Publisher
Birkhäuser
Year
1992
ISBN
9783764327231, 3764327235
LCC
QA377 .L4157 1992
Open Library ID
OL1702432M
Language
english
Format
DJVU
Filesize
2 MB (1814084 bytes)
Pages
228\228
Library
Kolxo3
DPI
600
Time added
2010-07-29 05:14:56

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 audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.

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