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Titlebook: Computer Algebra in Scientific Computing; 12th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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https://doi.org/10.1057/9780230299221tativity. By considering this condition as a stationary Lax representation we are able to treat completely integrable dynamical systems. As special cases we obtain Hénon-Heiles dynamical systems. We propose algorithms to do this by using the powerful methods of computer algebra and performing symbol
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Notes on Stochastic Processes on Manifolds,s, solutions to systems of general form recursive equations, the methods of coding theory, pattern recognition and image processing), constitute the theoretical basis for developing problem-solving-oriented environments. As examples can be mentioned: a synthesizer of optimized distributed recursive
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Studies in Systems, Decision and Controlormalization as . or . systems. If one considers . VRS’s, it turns out that they are equivalent to finitely presented commutative semigroups or to binomial ideals in a multivariate ring over ℚ..We outline and survey the interaction between these domains of computational algebra, system modeling and
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Thomas Decomposition of Algebraic and Differential Systems,simple subsystems. We exploit . decomposition ideas and develop them into a new algorithm. For algebraic systems simplicity means triangularity, squarefreeness and non-vanishing initials. For differential systems the algorithm provides not only algebraic simplicity but also involutivity. The algorithm has been implemented in ..
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