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)

The full text of this publication is not available from this repository. (Contact us about this Publication)
Official URL


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: (The current URI for this page, for reference purposes)
  • Depositors only (login required):