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Titlebook: Computer Algebra in Scientific Computing CASC 2001; Proceedings of the F Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhts Conference proc

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Algebraic Identification Algorithm and Application to Dynamical Systems,computing a dynamical system (..) whose behaviour approximates the exact system one’s, “up to order .”, when knowing only a finite set of input/output data. The approximated dynamical system provided is a bilinear system depending on some parameters. In order to preserve the generic feature of the c
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On the Stability of Steady Motions of Solar-Sail Satellite,ined, and Lyapunov’s method has been employed to investigate their stability. The sufficient conditions are compared with the necessary ones. To the end of solving the problem, the capabilities of the software “Stability” for symbolic computations have been used [1].
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Application of Computer Algebra for Investigation of Group Properties of the Navier-Stokes Equation basis of methods of the group analysis of differential equations [1] some classes of exact solutions are constructed, namely, invariant and partially invariant. We use essentially the computer algebra systems for finding the symmetry group and for constructing the solution.
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Neighborhoods of an Ordinary Linear Differential Equation,eighborhood is often used in Scientific Computation where involved data have limited accuracy. In this context we introduce the notion of pseudo-integral of a differential equation. Furthermore we use the notion of differential resultant in order to know the relations between the integrals of a line
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