Numerical methods for conservation laws
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Author
Publication
1990 - Birkhäuser Verlag, Basel, Switzerland
Language
English
Word Count
53,500 words, Guess
Page Count
214 pages
Identifiers
- ISBN-103764324643
- ISBN-100817624643
- ISBN-139783764324643
- ISBN-139780817624644
- Library of Congress Control Number90000691
and 2 more
- Better World Books9780817624644
- Open LibraryOL1849300M
Classifications
- DDC515/.353
- LCCQA377 .L4157 1990
- LCCQA377.L4157 1990
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.
Subjects
Topics
Series Statement
- Lectures in mathematics ETH Zürich
Other Editions
- Numerical methods for conservation laws
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