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Time Dependent Problems and Difference Methods
Time Dependent Problems and Difference Methods
Bertil Gustafsson, Uppsala Univ., Sweden
Heinz-Otto Kreiss, Univ. of California at Los Angeles
Joseph Oliger, Stanford Univ.
ISBN: 978-0-471-50734-5
©1996
656 pages
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Description  |  Author Info  |  Table of Contents
Table of Contents
PROBLEMS WITH PERIODIC SOLUTIONS.

Fourier Series and Trigonometric Interpolation.

Model Equations.

Higher Order Accuracy.

Well-Posed Problems.

Stability and Convergence for Numerical Approximations of Linear and Nonlinear Problems.

Hyperbolic Equations and Numerical Methods.

Parabolic Equations and Numerical Methods.

Problems with Discontinuous Solutions.

INITIAL-BOUNDARY-VALUE PROBLEMS.

Initial-Boundary-Value Problems.

The Laplace Transform Method for Initial-Boundary-Value Problems.

The Energy Method for Difference Approximations.

The Laplace Transform Method for Difference Approximations.

The Laplace Transform Method for Fully Discrete Approximations: Normal Mode Analysis.

Appendices.

References.

Index.  

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