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Titlebook: Computer Algebra in Scientific Computing; 21st International W Matthew England,Wolfram Koepf,Evgenii V. Vorozhtso Conference proceedings 20

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Stochastic System and Control Theoryonal derivatives and find approximate symmetries for systems of equations with a small parameter. The second program written as a package for Maple computes the operator of invariant differentiation in special form for given Lie algebra of generators. This operator is used for order reduction of given ODE systems.
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https://doi.org/10.1007/978-1-4615-0601-0ge scale symbolic calculations feasible. We demonstrate efficiency of our procedure by benchmark large-scale calculations of the non-canonical BM basis with the highest weight vectors of . irreducible representations.
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https://doi.org/10.1007/978-3-642-93130-7egrals of motion were found for six families. For the seventh family, we found the formal first integral. So, at least six of these families in parameters space are manifolds where the global integrability of the original system takes place.
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Systems Theory in the Social Sciencesnd reversion of an input polynomial. We also show another unexplored direction for substantial further progress in this long and extensively studied area. Namely we dramatically increase the local efficiency of root-finding by means of the incorporation of fast algorithms for multipoint polynomial evaluation and Fast Multipole Method.
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Rings: An Efficient JVM Library for Commutative Algebra (,),lgorithms for commutative algebra. The use of the Scala language brings a quite novel powerful, strongly typed functional programming model allowing to write short, expressive, and fast code for applications.
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