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Titlebook: Computer Algebra in Scientific Computing; 22nd International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 20

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On the Complexity of Computing Integral Bases of Function Fields,aic function field . and give new complexity bounds for three known algorithms dealing with this problem. For each algorithm, we study its subroutines and, when it is possible, we modify or replace them so as to take advantage of faster primitives. Then, we combine complexity results to derive an ov
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Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equcated power series. We discuss the question of what can be learned from equations given in this way about its Laurent solutions, i.e., solutions belonging to the field of formal Laurent series. We are interested in the information about these solutions, that is invariant with respect to possible pro
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On Periodic Approximate Solutions of the Three-Body Problem Found by Conservative Difference Schemeof the solution, is discussed..An implicit difference scheme for the many-body problem that preserves all algebraic integrals of motion is presented based on the midpoint scheme. In this concern, we consider the finite-difference analogue of the Lagrange problem: using the midpoint scheme to find al
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