Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation

Fredrik Johansson; Manuel Kauers; Marc Mezzarobba

doi:10.48550/arXiv.1301.2486

Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation

Fredrik Johansson
, Manuel Kauers
, Marc Mezzarobba

Institut für Symbolisches Rechnen

Publikation: Preprints, Working Paper und Forschungsberichte › Vorabpublikation

Abstract

We present a new algorithm for computing hyperexponential solutions of ordinary linear differential equations with polynomial coefficients. The algorithm relies on interpreting formal series solutions at the singular points as analytic functions and evaluating them numerically at some common ordinary point. The numerical data is used to determine a small number of combinations of the formal series that may give rise to hyperexponential solutions.

Originalsprache	Englisch
Seitenumfang	8
DOIs	https://doi.org/10.48550/arXiv.1301.2486
Publikationsstatus	Veröffentlicht - 2013

Publikationsreihe

Name	arXiv.org
Nr.	1301.2486
ISSN (Druck)	2331-8422

Wissenschaftszweige

101001 Algebra
101002 Analysis
101 Mathematik
102 Informatik
102011 Formale Sprachen
101009 Geometrie
101013 Mathematische Logik
101020 Technische Mathematik
101025 Zahlentheorie
101012 Kombinatorik
101005 Computeralgebra
101006 Differentialgeometrie
101003 Angewandte Geometrie
102025 Verteilte Systeme

JKU-Schwerpunkte

Computation in Informatics and Mathematics

Zugriff auf Dokument

10.48550/arXiv.1301.2486

Andere Dateien und Links

http://arxiv.org/abs/1301.2486

Dieses zitieren

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