HIGHER ORDER COMPOSITION RUNGE-KUTTA METHODS

被引：1

作者：

Chen, D. J. L. ^{[1
]}

Chang, J. C. ^{[2
,3
]}

Cheng, C. H. ^{[3
]}

机构：

[1] Ling Tung Univ, Dept Business Adm, Taichung, Taiwan

[2] Ling Tung Univ, Dept Informat Technol, Taichung, Taiwan

[3] Natl Yunlin Univ Sci & Technol, Dept Informat Management, Yunlin, Taiwan

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2008年 / 39卷 / 03期

关键词：

The C and D simplifying assumption; elementary weight function; composition rule; linear combination of trees;

D O I：

10.5556/j.tkjm.39.2008.12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive a fifth order five-stage explicit Runge-Kutta composition method, and an error estimator using linear combination of stage values and output values over two steps. Numerical results presented by testing the new pair over DETEST problems show a significant improvement.

引用

页码：199 / 211

页数：13

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