Finite Volume Methods for Hyperbolic Problems

Name: Finite Volume Methods for Hyperbolic Problems
Price: 40.69 USD
Availability: InStock
ISBN: 9780521009249

ISBN-10: 0521009243

ISBN-13: 9780521009249

Edition: 2002

Authors: Randall J. LeVeque, D. G. Crighton, S. H. Davis, E. J. Hinch, A. Iserles

List price: $98.99

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Description:

An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.

Book details

List price: $98.99
Copyright year: 2002
Publisher: Cambridge University Press
Publication date: 8/26/2002
Binding: Paperback
Pages: 580
Size: 6.85" wide x 9.69" long x 1.14" tall
Weight: 2.332
Language: English



Preface



Introduction



Conservation laws and differential equations



Characteristics and Riemann problems for linear hyperbolic equations



Finite-volume methods



Introduction to the CLAWPACK software



High resolution methods



Boundary conditions and ghost cells



Convergence, accuracy, and stability



Variable-coefficient linear equations



Other approaches to high resolution



Nonlinear scalar conservation laws



Finite-volume methods for nonlinear scalar conservation laws



Nonlinear systems of conservation laws



Gas dynamics and the Euler equations



Finite-volume methods for nonlinear systems



Some nonclassical hyperbolic problems



Source terms and balance laws



Multidimensional hyperbolic problems



Multidimensional numerical methods



Multidimensional scalar equations



Multidimensional systems



Elastic waves



Finite-volume methods on quadrilateral grids


Bibliography


Index