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 ...
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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. Without 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.
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Add this copy of Numerical Methods for Conservation Laws to cart. $15.00, good condition, Sold by ThriftBooks-Atlanta rated 5.0 out of 5 stars, ships from Austell, GA, UNITED STATES, published 1992 by Birkhauser.
Add this copy of Numerical Methods for Conservation Laws to cart. $42.26, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1992 by Birkhauser.
Edition:
2nd Softcover Reprint of the Original 2nd 1992 edition
Publisher:
Birkhauser
Published:
1992
Language:
English
Alibris ID:
11095997926
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Seller's Description:
New. Print on demand Trade paperback (US). Glued binding. 220 p. Contains: Unspecified, Illustrations, black & white. Lectures in Mathematics. Eth Zürich.
Add this copy of Numerical Methods for Conservation Laws to cart. $46.69, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1992 by Birkhäuser.
Add this copy of Numerical Methods for Conservation Laws to cart. $97.11, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1992 by Birkhäuser.
needed for my class on PDE's. was very helpful and o mostly read the part on hyperbolic conservation laws.
i highly recommend this book as a supplement to any numerical analysis book.
