Numerical Solution of Hyperbolic Partial Differential Equations by John A. TrangensteinNumerical Solution of Hyperbolic Partial Differential Equations by John A. Trangenstein

Numerical Solution of Hyperbolic Partial Differential Equations

byJohn A. Trangenstein

Hardcover | July 31, 2008

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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.
John A. Trangenstein is Professor of Mathematics at Duke University, North Carolina
Title:Numerical Solution of Hyperbolic Partial Differential EquationsFormat:HardcoverDimensions:620 pages, 9.72 × 6.85 × 1.3 inPublished:July 31, 2008Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:052187727X

ISBN - 13:9780521877275


Table of Contents

Preface; 1. Introduction to partial differential equations; 2. Scalar hyperbolic conservations laws; 3. Nonlinear scalar laws; 4, Nonlinear hyperbolic systems; 5. Methods for scalar laws; 6. Methods for hyperbolic systems; 7. Methods in multiple dimensions; 8. Adaptive mesh refinement; Bibliography; Index.

Editorial Reviews

"The book is written in a friendly and somewhat informal language. This makes it quite easy and entertaining to read. Throughout the book it is clear that Trangenstein constantly thinks about students, which is great.Overall, I consider this book to be a fine addition to the literature on numerical methods for hyperbolic conservation laws."
Doron Levy, University of Maryland for SIAM Reviews