Time Dependent Problems and Difference Methods
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  • Wiley

More About This Title Time Dependent Problems and Difference Methods

English

Bertil Gustafsson is a professor with the Department of Scientific Computing at Uppsala University, Sweden.

Heinz-Otto Kreiss is a professor with the UCLA Department of Mathematics. He is the coauthor of Initial-Boundary Value Problems and the Navier-Stokes Equations.

Joseph Oliger is a professor with the Department of Computer Science at Stanford University.

English

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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