Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients
| Autor: | Suzy S. Maddah, Moulay A. Barkatou |
|---|---|
| Přispěvatelé: | Mathématiques & Sécurité de l'information (XLIM-MATHIS), XLIM (XLIM), Université de Limoges (UNILIM)-Centre National de la Recherche Scientifique (CNRS)-Université de Limoges (UNILIM)-Centre National de la Recherche Scientifique (CNRS), Lebanese International University (LIU) |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Maple
[INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC] Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Rational function engineering.material Symbolic computation Nonlinear system Linear differential equation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION engineering Gravitational singularity Coefficient matrix Equivalent system Mathematics |
| Zdroj: | Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation ISSAC 2015-International Symposium on Symbolic and Algebraic Computation ISSAC 2015-International Symposium on Symbolic and Algebraic Computation, Jul 2015, Bath, United Kingdom. pp.53-60, ⟨10.1145/2755996.2756668⟩ ISSAC |
| DOI: | 10.1145/2755996.2756668⟩ |
| Popis: | International audience; In this paper we present a new algorithm which, given a system of first order linear differential equations with rational function coefficients, constructs an equivalent system with rational function coefficients, whose finite singularities are exactly the non-apparent singularities of the original system. This algorithm is implemented in the computer algebra system Maple and is illustrated by examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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