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

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Symbolic Investigation of the Dynamics of a System of Two Connected Bodies Moving Along a Circular s investigated. Computer algebra method based on the resultant approach was applied to reduce the satellite stationary motion system of algebraic equations to a single algebraic equation in one variable that determines all planar equilibrium configurations of the two–body system. Classification of d

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Parametric Standard Bases and Their Applications,hensive Gröbner systems, we present an algorithm for the computation of .. Although our algorithm is a straightforward extension of the mentioned algorithm, however the effectiveness of our approach can be seen in its applications. To this end, we study some applications of parametric standard bases

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Revisit Sparse Polynomial Interpolation Based on Randomized Kronecker Substitution,s based on two main ingredients. A new Monte Carlo method is given to reduce the black-box multivariate polynomial interpolation problem to the black-box univariate polynomial interpolation problem over any ring. The reduction algorithm leads to multivariate interpolation algorithms with better or t

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