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

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Computation of Pommaret Bases Using Syzygies,s method. We conclude the paper by proposing an involutive variant of the signature based algorithm of Gao et al. [.] to compute simultaneously a Gröbner basis for a given ideal and for the syzygy module of the input basis. All the presented algorithms have been implemented in . and their performance is evaluated via a set of benchmark ideals.
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Qualitative Analysis of a Dynamical System with Irrational First Integrals,onditions of their stability in Lyapunov’s sense have been derived and compared with the necessary ones. The analysis has been performed with the aid of computer algebra tools which proved to be essential. The computer algebra system “Mathematica” was employed.
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0302-9743 equalities” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.978-3-319-99638-7978-3-319-99639-4Series ISSN 0302-9743 Series E-ISSN 1611-3349
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