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Computer-Aided Analysis of Difference Schemes for Partial Differential Equations

Computer-Aided Analysis of Difference Schemes for Partial Differential Equations

V. Ganzha
E. V. Vorozhtsov

1996
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Description
A topical and comprehensive reference containing applications of computerized symbolic manipulations for analyzing the stability of a wide range of diverse schemes commonly used for solving problems in gas dynamics, catastrophe theory, heat and mass transfer. Provides basic mathematical formula for implementing each algorithm and all formulas are presented on a variety of computer operating systems using global algebraic symbolic languages such as Maple, Mathematica and Reduce. Features scores of illustrations and examples. Table of Contents 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
Categories:
Computer Science
Other Details
Language: English
ISBN: 0-471-12946-1
Publisher: Wiley-Interscience

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