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Finite volume methods for hyperbolic problems /
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...
| Call Number: | Libro Electrónico |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2002.
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| Series: | Cambridge texts in applied mathematics.
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| Subjects: | |
| 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.