On the Integration of Differential Fractions

Boulier, Francois and Lemaire, Francois and Regensburger, Georg and Rosenkranz, Markus (2013) On the Integration of Differential Fractions. In: Kauers, M., ed. Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation. ACM, New York, pp. 101-108. ISBN 978-1-4503-2059-7. (doi:10.1145/2465506.2465934) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:33746)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://dx.doi.org/10.1145/2465506.2465934

Abstract

In this paper we provide a differential algebra algorithm for integrating fractions of differential polynomials. It is not restricted to differential fractions that are the derivatives of other differential fractions. The algorithm leads to new techniques for representing differential fractions, which may help converting differential equations to integral equations (as for example used in parameter estimation).

Item Type:	Book section
DOI/Identification number:	10.1145/2465506.2465934
Uncontrolled keywords:	Differential algebra, differential fractions, integration
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	Engineering and Physical Sciences Research Council (https://ror.org/0439y7842)
Depositing User:	Markus Rosenkranz
Date Deposited:	30 Apr 2013 11:45 UTC
Last Modified:	12 Jul 2022 10:40 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/33746 (The current URI for this page, for reference purposes)

University of Kent Author Information

Rosenkranz, Markus.

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