Titlebook: Computer Algebra in Scientific Computing CASC 2001; Proceedings of the F Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhts Conference proc

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ECG769

Bifurcation Analysis of Low Resonant Case of the Generalized Henon - Heiles System, - Heiles system. A behavior of all local families of periodic solutions in system parameters is determined. Corresponding approximated solutions were checked by a comparison with the numerical solutions of the system.

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A New Combinatorial Algorithm for Large Markov Chains (Extended Abstract), computations of NCD chains has been recently introduced in [11,12]. The method of . gives raise to aggregation algorithms, which approximate effectively the characteristics of Markov chain. The algorithms are based on grouping the states of a Markov chain in such a way that the probability of chang

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GROOME - Tool Supported Graphical Object Oriented Modelling for Computer Algebra and Scientific Com object oriented problem decomposition on the basis of graphical description techniques. Such intuitive graphical description techniques are in our opinion the best medium to present the complex numerical models and methods as well as a hierarchy of them as well as relationships among them. The mean

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Construction of Janet Bases I. Monomial Bases,mial sets the binary trees called Janet trees are selected. An algorithm for construction of a Janet basis for the ideal generated by a finite monomial set is described. This algorithm contains as subalgorithms those to search for Janet divisor in a given tree and to insert monomials into the tree i

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Construction of Janet Bases II. Polynomial Bases,duce. This algorithm extends to polynomial ideals the algorithm for computation of monomial Janet bases presented in the first part of our paper and improves the specialization to Janet division of the general algorithm for computation of involutive polynomial bases. The computational efficiency of