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Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics)

✍ Scribed by Randall J. LeVeque


Publisher
Cambridge University Press
Year
2002
Tongue
English
Leaves
578
Category
Library

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✦ Table of Contents


Frontmatter
Contents
Preface
1 - Introduction
Part I - Linear Equations
2 - Conservation Laws and Differential Equations
3 - Characteristics and Riemann Problems for Linear
Hyperbolic Equations
4 - Finite Volume Methods
5 - Introduction to the CLAWPACK Software
6 - High-Resolution Methods
7 - Boundary Conditions and Ghost Cells
8 - Convergence, Accuracy, and Stability
9 - Variable-Coefficient Linear Equations
10 - Other Approaches to High Resolution
Part II - Nonlinear Equations
11 - Nonlinear Scalar Conservation Laws
12 - Finite Volume Methods for Nonlinear Scalar
Conservation Laws
13 - Nonlinear Systems of Conservation Laws
14 - Gas Dynamics and the Euler Equations
15 - Finite Volume Methods for Nonlinear Systems
16 - Some Nonclassical Hyperbolic Problems
17 - Source Terms and Balance Laws
Part III - Multidimensional Problems
18 - Multidimensional Hyperbolic Problems
19 - Multidimensional Numerical Methods
20 - Multidimensional Scalar Equations
21 - Multidimensional Systems
22 - Elastic Waves
23 - Finite Volume Methods on Quadrilateral Grids
Bibliography
Index


πŸ“œ SIMILAR VOLUMES


Finite Volume Methods for Hyperbolic Pro
✍ Randall J. LeVeque πŸ“‚ Library πŸ“… 2002 πŸ› Cambridge University Press 🌐 English

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 pheno

Finite volume methods for hyperbolic pro
✍ LeVeque R. πŸ“‚ Library πŸ“… 2002 πŸ› CUP 🌐 English

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 pheno

Finite Volume Methods for Hyperbolic Pro
✍ LeVeque R.J. πŸ“‚ Library πŸ“… 2002 πŸ› Cambridge University Press 🌐 English

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 pheno

Finite Volume Methods for Hyperbolic Pro
✍ Randall J. LeVeque πŸ“‚ Library πŸ“… 2002 πŸ› Cambridge University Press 🌐 English

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 phenom

Nonlinear Stability of Finite Volume Met
✍ FranΓ§ois Bouchut (auth.) πŸ“‚ Library πŸ“… 2004 πŸ› BirkhΓ€user Basel 🌐 English

<p><P>This book is devoted to finite volume methods for hyperbolic systems of conservation laws. It differs from previous expositions on the subject in that the accent is put on the development of tools and the design of schemes for which one can rigorously prove nonlinear stability properties. Suff

Nonlinear Stability of Finite Volume Met
✍ FranΓ§ois Bouchut (auth.) πŸ“‚ Library πŸ“… 2004 πŸ› BirkhΓ€user Basel 🌐 English

<p><P>This book is devoted to finite volume methods for hyperbolic systems of conservation laws. It differs from previous expositions on the subject in that the accent is put on the development of tools and the design of schemes for which one can rigorously prove nonlinear stability properties. Suff