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 9781595939043. (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)

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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
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,
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Markus Rosenkranz
Date Deposited: 27 Jul 2012 16:29
Last Modified: 13 Aug 2012 10:40
Resource URI: https://kar.kent.ac.uk/id/eprint/29972 (The current URI for this page, for reference purposes)
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