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Look Inside Numerical Solution of Hyperbolic Partial Differential Equations

Numerical Solution of Hyperbolic Partial Differential Equations

$118.00 (C)

  • Date Published: October 2009
  • availability: In stock
  • format: Hardback
  • isbn: 9780521877275

$ 118.00 (C)

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About the Authors
  • For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM).

    • Textbook gives a comprehensive presentation of modern shock-capturing methods, including both finite volume and finite element methods
    • Innovative electronic component on accompanying CD allows the reader to perform computations based upon the text, and view the results as movies.
    • Topic of interest to graduate students, academics and industry
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    Reviews & endorsements

    "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

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    Product details

    • Date Published: October 2009
    • format: Hardback
    • isbn: 9780521877275
    • length: 620 pages
    • dimensions: 251 x 195 x 33 mm
    • weight: 1.5kg
    • contains: 109 b/w illus. 2 tables 141 exercises
    • availability: In stock
  • Table of Contents

    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

  • Instructors have used or reviewed this title for the following courses

    • Advance Numerical Methods
    • Advanced Multiscale Modeling and Computation
  • Author

    John A. Trangenstein, Duke University, North Carolina
    John A. Trangenstein is Professor of Mathematics at Duke University, North Carolina

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