Titlebook: Computer Algebra in Scientific Computing; 13th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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,Normal Forms of Two ,: − , Resonant Polynomial Vector Fields,We investigate a property of normal forms of .: − . resonant vector fields, which is related to isochronicity. The problem is reduced to studying polynomial ideals and their varieties which is performed using tools of computational algebra.

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Higher-Order Linear Differential Systems with Truncated Coefficients,s non-zero Laurent series solutions, and find all such solutions if they exist. Let us also assume we need only a given positive integer number . of initial terms of these series solutions. How many initial terms of the coefficients of the original system should we use to construct what we need?.Sup

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Topology of Families of Implicit Algebraic Surfaces Depending on a Parameter,arising in the family. The algorithm decomposes the real line into finitely many pieces (points and intervals) so that over each interval the shape is invariant, in the sense that the topology of the family can be described by means of the same simplicial complex. As a consequence, by applying known

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Computations on Simple Games Using ,,models of simple games and develop relational algorithms for solving some game-theoretic basic problems. The algorithms immediately can be transformed into the language of the Computer Algebra system . and, therefore, the system can be used to solve the problems and to visualize the results of the c