Finite Volume Methods for Hyperbolic Problems

ISBN-10: 0521009243
ISBN-13: 9780521009249
Edition: 2002
List price: $88.00 Buy it from $85.93
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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.

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Book details

List price: $88.00
Copyright year: 2002
Publisher: Cambridge University Press
Publication date: 8/26/2002
Binding: Paperback
Pages: 580
Size: 6.75" wide x 10.00" long x 1.00" tall
Weight: 2.134
Language: English

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

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

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