Computer-Aided Analysis of Difference Schemes for Partial Differential Equations (Hardcover)

The Necessary Basics from the Stability Theory of Difference Schemes and Polynomials.

Symbolic-Numerical Method for the Stability Investigation of Difference Schemes on a Computer.

Application of Optimization Methods to the Stability Analysis of Difference Schemes.

Stability Analysis of Difference Schemes by Catastrophe Theory Methods.

Construction of Multiply Connected Stability Regions of Difference Schemes by Computer Algebra and Pattern Recognition.

Maximally Stable Difference Schemes.

Stability Analysis of Nonlinear Difference Schemes.

Symbolic Computation of Differential Approximations.

Appendices.

Index.