Finite volume methods for hyperbolic problems /

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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 phenomen...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: LeVeque, Randall J., 1955-
Format: Electronic eBook
Language:Inglés
Published: Cambridge ; New York : Cambridge University Press, 2002.
Series:Cambridge texts in applied mathematics.
Subjects:
Differential equations, Hyperbolic > Numerical solutions.
Finite volume method.
Conservation laws (Mathematics)
Équations différentielles hyperboliques > Solutions numériques.
Méthodes de volumes finis.
Lois de conservation (Mathématiques)
MATHEMATICS > Differential Equations > Partial.
Hyperbolische Differentialgleichung
Finite-Volumen-Methode
Erhaltungssatz
Online Access:Texto completo
Table of Contents:
  • 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.

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