Order conditions for linearly implicit fractional step Runge Kutta methods |
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Authors: | Bujanda, B. Jorge, J. C. |
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Affiliation: | Departamento de Matemática e Informática, Universidad Pública de Navarra, Pamplona, Spain |
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Abstract: | In this paper, we study the consistency of a variant of fractionalstep Runge–Kutta methods. These methods are designed tointegrate efficiently semi-linear multidimensional parabolicproblems by means of linearly implicit time integration processes.Such time discretization procedures are also related to a splittingof the space differential operator (or the spatial discretizationof it) as a sum of simpler linear differentialoperators and a nonlinear term. |
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Keywords: | fractional step methods order conditions linearly implicit methods |
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