A Symbolic Approach to Boundary Problems for Linear Partial Differential Equations: Applications to the Completely Reducible Case of the Cauchy Problem with Constant Coefficients

Rosenkranz, Markus and Phisanbut, Nalina (2013) A Symbolic Approach to Boundary Problems for Linear Partial Differential Equations: Applications to the Completely Reducible Case of the Cauchy Problem with Constant Coefficients. In: Proceedings of the 15th International Workshop on Computer Algebra in Scientific Computing (CASC'13). Lecture Notes in Computer Science, 8136. Springer, Berlin pp. 301-314. (doi:https://doi.org/10.1007/978-3-319-02297-0_25) (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://dx.doi.org/10.1007/978-3-319-02297-0_25

Abstract

We introduce a general algebraic setting for describing linear boundary problems in a symbolic computation context, with emphasis on the case of partial differential equations. The general setting is then applied to the Cauchy problem for completely reducible partial differential equations with constant coefficients. While we concentrate on the theoretical features in this paper, the underlying operator ring is implemented and provides a sufficient basis for all methods presented here.

Item Type: Conference or workshop item (Proceeding)
Projects: [UNSPECIFIED] Computer Algebra for Linear Boundary Problems
Uncontrolled keywords: Linear boundary problem, Partial Differential Equations, Green’s operator, Transfer Operator, Integro-Differential Operators
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, > QA76.76 Computer software
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Markus Rosenkranz
Date Deposited: 24 May 2013 09:45 UTC
Last Modified: 25 Jan 2017 10:27 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/33976 (The current URI for this page, for reference purposes)
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