Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics, Series Number 31) - Softcover

Book 16 of 44: Cambridge Texts in Applied Mathematics

LeVeque, Randall J.

  • 4.35 out of 5 stars
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9780521009249: Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics, Series Number 31)
Softcover
ISBN 10: 0521009243 ISBN 13: 9780521009249
Publisher: Cambridge University Press, 2002

Synopsis

This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, (including both linear problems and nonlinear conservation laws). These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are applied to eliminate numerical oscillations. The methods were orginally designed to capture shock waves accurately, but are also useful tools for studying linear wave-progagation problems, particulary in heterogenous material. The methods studied are in the CLAWPACK software package. Source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

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Review

"This book is the most complete book on the finite volume method I am aware of (very few books are entirely devoted to finite volumes, despite their massive use in CFD). The book includes both theoretical and numerical aspects and is mainly intended as a handbook: it is clear, easily readable, and of special interest to students.... The book is to be strongly recommended." Mathematical Reviews

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2002
Language
English
ISBN 10 
0521009243
ISBN 13 
9780521009249
Binding
Paperback
Edition number
1
Number of pages
580
Rating
  • 4.35 out of 5 stars
    20 ratings by Goodreads

Other Popular Editions of the Same Title

9780521810876: Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics, Series Number 31)

Featured Edition

ISBN 10:  0521810876 ISBN 13:  9780521810876
Publisher: Cambridge University Press, 2002
Hardcover