A sage package for the symbolic-numeric factorization of linear differential operators-Reference-Cited by-同舟云学术

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A sage package for the symbolic-numeric factorization of linear differential operators

Published:2021-06 Issue:2 Volume:55 Page:44-48
ISSN:1932-2240
Container-title:ACM Communications in Computer Algebra
language:en
Short-container-title:ACM Commun. Comput. Algebra

Author:

Goyer Alexandre¹

Affiliation:

1. Inria, Palaiseau, France

Abstract

We present a SageMath implementation of the symbolic-numeric algorithm introduced by van der Hoeven in 2007 for factoring linear differential operators whose coefficients are rational functions.

Publisher

Association for Computing Machinery (ACM)

Link

https://dl.acm.org/doi/pdf/10.1145/3493492.3493496

Reference15 articles.

1. Die Irreducibilit�t der homogenen linearen Differentialgleichungen

2. An improved algorithm for factoring linear ordinary differential operators

3. A modular algorithm for computing the exponential solutions of a linear differential operator

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1. Algorithm for differential equations for Feynman integrals in general dimensions;Letters in Mathematical Physics;2024-06-26

2. Motivic Geometry of two-Loop Feynman Integrals;The Quarterly Journal of Mathematics;2024-06-10

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4. Symbolic-Numeric Factorization of Differential Operators;Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation;2022-07-04

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