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Order conditions for linearly implicit fractional step Runge Kutta methods
Authors:Bujanda, B.   Jorge, J. C.
Affiliation:Departamento de Matemática e Informática, Universidad Pública de Navarra, Pamplona, Spain
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.
Keywords:fractional step methods   order conditions   linearly implicit methods
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