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A Computer Algebra Approach to the Discrete Dirichlet Problem

✍ Scribed by Craig R. Orr; Doron Zeilberger

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 100 KB
Volume: 18
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.1994.1038

No coin nor oath required. For personal study only.

✦ Synopsis

The Gröbner Basis Algorithm is used to find closed form expressions for the generating functions of finite difference equations. Such difference equations arise in elliptic PDE's, random walk problems, and gambler's ruin problems.

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