Rosenkranz, Markus and Regensburger, Georg
(2008)
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Integro-differential polynomials and operators.
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In: Jeffrey, D., ed.
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation.
ACM, pp. 261-268.
ISBN 9781595939043.
(doi:10.1145/1390768.1390805)
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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 |
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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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