Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations

• Дата: 2006
• Автори: Gerdt, V.P., Blinkov, Y.A., Mozzhilkin, V.V.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2006
• Назва видання: Symmetry, Integrability and Geometry: Methods and Applications
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/146172
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine

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...