Regular and singular boundary problems in Maple

Korporal, Anja and Regensburger, Georg and Rosenkranz, Markus (2011) Regular and singular boundary problems in Maple. In: Gerdt, V.P. and Koepf, W. and Mayr, E.W. and Vorozhtsov, E.V., eds. Proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing (CASC'11). Lecture Notes in Computer Science, 6885 . Springer, Berlin, pp. 280-293. ISBN 978-3-642-23567-2 . (The full text of this publication is not available from this repository)

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Official URL
http://dx.doi.org/10.1007/978-3-642-23568-9_22

Abstract

We describe a new Maple package for treating boundary problems for linear ordinary differential equations, allowing two-/multipoint as well as Stieltjes boundary conditions. For expressing differential operators, boundary conditions, and Green's operators, we employ the algebra of integro-differential operators. The operations implemented for regular boundary problems include computing Green's operators as well as composing and factoring boundary problems. Our symbolic approach to singular boundary problems is new; it provides algorithms for computing compatibility conditions and generalized Green's operators.

Item Type: Book section
Uncontrolled keywords: Linear boundary problem, Singular Boundary Problem, Generalized Green’s operator, Green’s function, Integro-Differential Operator, Ordinary Differential Equation
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, > QA76.76 Computer software
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Markus Rosenkranz
Date Deposited: 03 Apr 2012 15:06
Last Modified: 04 Apr 2012 08:11
Resource URI: http://kar.kent.ac.uk/id/eprint/29248 (The current URI for this page, for reference purposes)
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