Order conditions for linearly implicit fractional step Runge-Kutta methods

被引：2
作者：
Bujanda, B. [1 ]
Jorge, J. C. [1 ]
机构：
[1] Univ Publ Navarra, Dept Matemat & Informat, Pamplona, Spain
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2007年 / 27卷 / 04期
关键词：
fractional step methods; order conditions; linearly implicit methods;
D O I：
10.1093/imanum/drm004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the consistency of a variant of fractional step Runge-Kutta methods. These methods are designed to integrate efficiently semi-linear multidimensional parabolic problems by means of linearly implicit time integration processes. Such time discretization procedures are also related to a splitting of the space differential operator (or the spatial discretization of it) as a sum of 'simpler' linear differential operators and a nonlinear term.
引用
收藏
页码：781 / 797
页数：17
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