Additive Runge-Kutta methods for the resolution of linear parabolic problems

  • Bujanda B
  • Jorge J
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Abstract

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.

Author-supplied keywords

  • Order conditions
  • RK additive methods

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Authors

  • B. Bujanda

  • J. C. Jorge

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