Titlebook: Computer Algebra in Scientific Computing CASC’99; Proceedings of the S Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhts Conference procee

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Computing Cocycles on Simplicial Complexes,0,21], in terms of the number of face operators required. This analysis is based on the combinatorial formulation given in [5]. As an application, we give here an algorithm for computing cup-. products over integers on a simplicial complex at chain level.

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Symbolic-numeric Investigations for Stability Analysis of Satellite Systems,and static forces is presented. The satellite system is described by Lagrange differential equations. The equations of motion form a closed system, for which the Jacobi Integral is valid. Stationary solutions of these equations are defined by the multivariate polynomial system..The algebraic polynom

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One Algorithm of Finding Solutions for the Systems with First Integrals,roposed approach is based on the analysis of stationary sets of first integrals of the system. Example applications of this algorithm to mechanical problems are presented. In some stages of solution the tools of computer algebra are used.

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Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis,resent, the full cohomology rings for these algebras are not known even for the low dimensional vector fields. The partial “experimental” results may give some hints for solution of the whole problem. The computations have been carried out with the help of recently written program in C language. Som

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Victor G. Ganzha,Ernst W. Mayr,Evgenii V. VorozhtsThis is one of the few books on computer algebra topics from a scientific computing point of view.Includes supplementary material:

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https://doi.org/10.1007/978-3-642-16046-2nt symmetries and allows to construct transformations which simplify the equation prior to its solution. The method of canonical variables is closely related to the methods of first integrals and the method of first order partial differential equations. We discuss the necessary tools, the skeleton a