Integro-differential polynomials and operators

Rosenkranz, Markus and Regensburger, Georg (2008) Integro-differential polynomials and operators. In: Jeffrey, D., ed. Proceedings of the twenty-first international symposium on Symbolic and algebraic computation. ACM, pp. 261-268. ISBN 978-1-59593-904-3. (doi:10.1145/1390768.1390805) (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:29972)

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://dl.acm.org/citation.cfm?id=1390805

Abstract

We propose two algebraic structures for treating integral operators in conjunction with derivations: The algebra of integro-differential polynomials describes nonlinear integral and differential operators together with initial values. The algebra of integro-differential operators can be used to solve boundary problems for linear ordinary differential equations. In both cases, we describe canonical/normal forms with algorithmic simplifiers.

Item Type:	Book section
DOI/Identification number:	10.1145/1390768.1390805
Uncontrolled keywords:	Green's operators; integral operators; integro-differential algebras; linear boundary value problems; noncommutative Groebner bases
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) > QA 76 Software, computer programming,
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Markus Rosenkranz
Date Deposited:	27 Jul 2012 16:29 UTC
Last Modified:	20 May 2025 11:35 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/29972 (The current URI for this page, for reference purposes)

University of Kent Author Information

Rosenkranz, Markus.

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