Finite Volume Methods for Hyperbolic Problems

Finite Volume Methods for Hyperbolic Problems
Author :
Publisher : Cambridge University Press
Total Pages : 582
Release :
ISBN-10 : 9781139434188
ISBN-13 : 1139434187
Rating : 4/5 (88 Downloads)

Book Synopsis Finite Volume Methods for Hyperbolic Problems by : Randall J. LeVeque

Download or read book Finite Volume Methods for Hyperbolic Problems written by Randall J. LeVeque and published by Cambridge University Press. This book was released on 2002-08-26 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2002, 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 then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and 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 Related Books

Finite Volume Methods for Hyperbolic Problems
Language: en
Pages: 582
Authors: Randall J. LeVeque
Categories: Mathematics
Type: BOOK - Published: 2002-08-26 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approxim
Finite Volume Methods for Hyperbolic Problems
Language: en
Pages: 582
Authors: Randall J. LeVeque
Categories: Mathematics
Type: BOOK - Published: 2002-08-26 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Publisher Description
Finite Volume Methods for Hyperbolic Problems
Language: en
Pages: 542
Authors: Randall J. LeVeque
Categories: Mathematics
Type: BOOK - Published: 2002-08-29 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Publisher Description
Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws
Language: en
Pages: 148
Authors: François Bouchut
Categories: Mathematics
Type: BOOK - Published: 2004-06-25 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Language: en
Pages: 846
Authors: Edwige Godlewski
Categories: Mathematics
Type: BOOK - Published: 2021-08-28 - Publisher: Springer Nature

DOWNLOAD EBOOK

This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space vari