Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations

Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations

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...

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Bibliographic Details
Main Authors: Vladimir P. Gerdt, Yuri A. Blinkov, Vladimir V. Mozzhilkin
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-05-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
partial differential equations
conservative difference schemes
difference algebra
linear difference ideal
Gröbner basis
Janet-like basis
computer algebra
Burgers equation
Falkowich-Karman equation
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper051/

Internet

http://www.emis.de/journals/SIGMA/2006/Paper051/

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