Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Gerdt, V.P., Blinkov, Y.A., Mozzhilkin, V.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146172
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations / V.P. Gerdt, Y.A. Blinkov, V.V. Mozzhilkin// Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 50 назв. — англ.

In this paper we present an algorithmic approach to the generation of fully conservative difference schemes for linear partial differential equations. The approach is based on enlargement of the equations in their integral conservation law form by extra integral relations between unknown functions a...