Rosenkranz, Markus and Phisanbut, Nalina
(2013)
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A Symbolic Approach to Boundary Problems for Linear Partial Differential Equations: Applications to the Completely Reducible Case of the Cauchy Problem with Constant Coefficients.
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In:
Proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing (CASC'11).
Proceedings of the 15th International Workshop on Computer Algebra in Scientific Computing.
Lecture Notes in Computer Science, 8136.
Springer, Berlin
pp. 301-314.
(doi:https://doi.org/10.1007/978-3-319-02297-0_25)
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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) |
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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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