Additive Runge-Kutta methods for the resolution of linear parabolic problems
- Bujanda, B. 1
- Jorge, J.C. 2
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1
Universidad de La Rioja
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2
Universidad Pública de Navarra
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ISSN: 0377-0427
Any de publicació: 2002
Volum: 140
Número: 1-2
Pàgines: 99-117
Tipus: Article
beta Ver similares en nube de resultadosAltres publicacions en: Journal of Computational and Applied Mathematics
Resum
We study the consistency for general additive Runge-Kutta methods in the integration of linear nonhomogeneous problems, obtaining necessary and sufficient conditions of order p, for arbitary values of p. We use this result joined to some A-stability conditions for developing a third order additive Runge-Kutta method of type fractional steps and we show its efficiency in the numerical integration of a two-dimensional evolutionary convection-diffusion problem. © 2002 Elsevier Science B.V. All rights reserved.