Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics)
by Randall J. LeVeque
Sales Rank: 86743
List Price: $59.00 $53.10At Amazon on 12-6-2008
Paperback: 578 pages
Publisher: Cambridge University Press; 1 edition August 26, 2002
Language: English
ISBN-10: 0521009243
ISBN-13: 978-0521009249
Product Dimensions:
9.6 x 6.9 x 1.6 inches
Shipping Weight: 2.2 pounds
Product 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
Product Description
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.
Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics)
Available from Amazon Price: $53.10 Updated on 12-6-2008
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