NEW EFFICIENT TIME INTEGRATORS FOR NON-LINEAR PARABOLIC PROBLEMS

被引：0

作者：

Bujanda, Blanca ^{[1
]}

Carlos Jorge, Juan ^{[1
]}

机构：

[1] Univ Publ Navarra, Dept Matemat & Informat, Pamplona, Spain

来源：

OPUSCULA MATHEMATICA | 2006年 / 26卷 / 03期

关键词：

fractional step methods; non-linear parabolic problems; convergence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work a new numerical method is constructed for time-integrating multidimensional parabolic semilinear problems in a very efficient way. The method reaches the fourth order in time and it can be combined with standard spatial discretizations of any order to obtain unconditinally convergent numerical algorithms. The main theoretical results which guarantee this property are explained here, as well as the method characteristics which guarantee a very strong reduction of computational cost in comparison with classical discretization methods.

引用

页码：407 / 419

页数：13

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