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

页码：781 / 797

页数：17

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