Time-splitting errors in the numerical integration of semilinear systems of ordinary differential equations

被引：0
作者：
Murthy, ASV
Nanjundiah, RS
机构：
[1] Indian Inst Sci, TIFR, Bangalore 560012, Karnataka, India
[2] Indian Inst Sci, CAOS, Bangalore 560012, Karnataka, India
来源：
MONTHLY WEATHER REVIEW | 2000年 / 128卷 / 11期
关键词：
D O I：
10.1175/1520-0493(2001)129<3921:TSEITN>2.0.CO;2
中图分类号：
P4 [大气科学（气象学）];
学科分类号：
0706 ; 070601 ;
摘要：
In this paper the authors analyze splitting errors in numerical schemes for a semilinear system of ordinary differential equations (ODEs). It is well known that errors occur even when splitting the continuous fully linear system analytically, consequently splitting numerical schemes introduces additional errors. A general approach to delineate and avoid such errors for the above-mentioned class of ODEs is proposed.
引用
收藏
页码：3921 / 3926
页数：6
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