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Computer-Aided Analysis of Difference Schemes for Partial Differential Equations / Edition 1

Computer-Aided Analysis of Difference Schemes for Partial Differential Equations / Edition 1


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Product Details

ISBN-13: 9780471129462
Publisher: Wiley
Publication date: 04/12/1996
Pages: 458
Product dimensions: 6.38(w) x 9.57(h) x 1.10(d)

About the Author

VICTOR G. GANZHA is Visiting Professor of Mathematics with theFaculty of Mathematics and Informatics at the University of Kassel,Germany, where he presents lecture courses on advanced computeralgebra systems and their applications to higher mathematics andnumerical analysis. He is coauthor of Differentialgleichungen mitMathematica.

E. V. VOROZHTSOV is a research scientist at the Russian Academy ofSciences in Novosibirsk, Russia, and Professor of Mathematics withthe Faculty of Flying Vehicles at the Novosibirsk State TechnicalUniversity. He is coauthor of Methods for the Localization ofSingularities in Numerical Solutions of Gas Dynamics Problems.

Table of Contents

The Necessary Basics from the Stability Theory of DifferenceSchemes and Polynomials.

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

Application of Optimization Methods to the Stability Analysis ofDifference Schemes.

Stability Analysis of Difference Schemes by Catastrophe TheoryMethods.

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

Maximally Stable Difference Schemes.

Stability Analysis of Nonlinear Difference Schemes.

Symbolic Computation of Differential Approximations.



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