Numerical Methods for Conservation Laws
These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, a...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser
1992, 1992
|
| Edition: | 2nd ed. 1992 |
| Series: | Lectures in Mathematics. ETH Zürich
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I Mathematical Theory
- 1 Introduction
- 2 The Derivation of Conservation Laws
- 3 Scalar Conservation Laws
- 4 Some Scalar Examples
- 5 Some Nonlinear Systems
- 6 Linear Hyperbolic Systems 58
- 7 Shocks and the Hugoniot Locus
- 8 Rarefaction Waves and Integral Curves
- 9 The Riemann problem for the Euler equations
- II Numerical Methods
- 10 Numerical Methods for Linear Equations
- 11 Computing Discontinuous Solutions
- 12 Conservative Methods for Nonlinear Problems
- 13 Godunov’s Method
- 14 Approximate Riemann Solvers
- 15 Nonlinear Stability
- 16 High Resolution Methods
- 17 Semi-discrete Methods
- 18 Multidimensional Problems