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Numerical Methods for Conservation Laws

Authors: LEVEQUE

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About this book

These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de­ veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un­ derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present­ ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.

Table of contents (18 chapters)

Table of contents (18 chapters)
  • Introduction

    Pages 1-13

    LeVeque, Randall J.

  • The Derivation of Conservation Laws

    Pages 14-18

    LeVeque, Randall J.

  • Scalar Conservation Laws

    Pages 19-40

    LeVeque, Randall J.

  • Some Scalar Examples

    Pages 41-50

    LeVeque, Randall J.

  • Some Nonlinear Systems

    Pages 51-57

    LeVeque, Randall J.

Buy this book

eBook 16,99 €
price for Spain (gross)
  • ISBN 978-3-0348-5116-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Methods for Conservation Laws
Authors
Copyright
1990
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-0348-5116-9
DOI
10.1007/978-3-0348-5116-9
Edition Number
1
Number of Pages
IX, 214
Topics