Finite Volume Methods for Hyperbolic Problems

Randall J. LeVeque

ISBN 10: 0521009243 / ISBN 13: 9780521009249

Published by Cambridge University Press, 2002

About this Item

2002. 1st Edition. Paperback. An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. Series: Cambridge Texts in Applied Mathematics. Num Pages: 580 pages, 135 b/w illus. 108 exercises. BIC Classification: PBKJ; PBKS; PBW. Category: (P) Professional & Vocational. Dimension: 172 x 248 x 21. Weight in Grams: 988. Series: Cambridge Texts in Applied Mathematics. 578 pages, 135 b/w illus. 108 exercises. An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. Cateogry: (P) Professional & Vocational. BIC Classification: PBKJ; PBKS; PBW. Dimension: 172 x 248 x 21. Weight: 924. . . . . . Books ship from the US and Ireland.

Seller Inventory # V9780521009249

Bibliographic Details

• Title: Finite Volume Methods for Hyperbolic Problems
• Publisher: Cambridge University Press
• Publication Date: 2002
• Language: English
• ISBN 10: 0521009243
• ISBN 13: 9780521009249
• Binding: Soft cover
• Condition: New

About this title

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.

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