Numerical Solution of Hyperbolic Partial Differential Equations

Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, with both print and interactive electronic components (on CD). It is a comprehensive presentation of modern shock-capturing methods, including both finite volume and finite element methods, covering the theory of hyperbolic conservation laws and the theory of the numerical methods. The range of applications is broad enough to engage most engineering disciplines and many areas of applied mathematics. Classical techniques for judging the qualitative performance of the schemes are used to motivate the development of classical higher-order methods. The interactive CD gives access to the computer code used to create all of the text's figures, and lets readers run simulations, choosing their own input parameters; the CD displays the results of the experiments as movies. Consequently, students can gain an appreciation for both the dynamics of the problem application, and the growth of numerical errors.

ISBN 052187727X   Pages 620 ISBN13 9780521877275 (What's this?)   Volumes 1 Publisher Cambridge University Press   Weight (grammes) 1500 Imprint Cambridge University Press   Published in Cambridge Format Hardback   Height (mm) 247 Publication date 03 Sep 2009   Width (mm) 174 Library of Congress QA   Spine width (mm) 33 DEWEY 515.353   Academic level Professional / Scholarly DEWEY edition DC22

1		Introduction to Partial Differential Equations		1
2		Scalar Hyperbolic Conservation Laws		6
3		Nonlinear Scalar Laws		81
4		Nonlinear Hyperbolic Systems		135
5		Methods for Scalar Laws		326
6		Methods for Hyperbolic Systems		432
7		Methods in Multiple Dimensions		474
8		Adaptive Mesh Refinement		544
		Bibliography		584
		Index		593

'... very recommendable ...' Internationale Mathematische Nachrichten

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