Titlebook: Computer Algebra in Scientific Computing; 18th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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A Symbolic Investigation of the Influence of Aerodynamic Forces on Satellite Equilibria,ers is found by the analysis of real roots of algebraic equations from the constructed Gröbner basis. The evolution of domains with fixed number of equilibria from 24 to 8 is investigated in detail. All bifurcation values of the system parameters corresponding to the qualitative change of these domains are determined.

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https://doi.org/10.1007/978-3-031-67091-6lational problem. This contribution focusses on how Computer Algebra plays an essential role in this programme and shows by a few examples how the methods are actually implemented in a Computer Algebra system.

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On the Differential and Full Algebraic Complexities of Operator Matrices Transformations,Following this, we give a complexity analysis, first, of finding a superset of the set of singular points for solutions of a system of linear ordinary differential equations, and, second, of the unimodularity testing for an operator matrix and of constructing the inverse matrix if it exists.