GENERALIZED RUNGE-KUTTA METHODS OF ORDER 4 WITH STEPSIZE CONTROL FOR STIFF ORDINARY DIFFERENTIAL-EQUATIONS

被引：265

作者：

KAPS, P ^{[1
]}

RENTROP, P ^{[1
]}

机构：

[1] TECH UNIV MUNICH, INST MATH, D-8000 MUNICH 2, FED REP GER

来源：

NUMERISCHE MATHEMATIK | 1979年 / 33卷 / 01期

关键词：

Subject classifications: AMS(MOS):65L05; CR:5.17;

D O I：

10.1007/BF01396495

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Generalized A(α)-stable Runge-Kutta methods of order four with stepsize control are studied. The equations of condition for this class of semiimplicit methods are solved taking the truncation error into consideration. For application an A-stable and an A(89.3°)-stable method with small truncation error are proposed and test results for 25 stiff initial value problems for different tolerances are discussed. © 1979 Springer-Verlag.

引用

页码：55 / 68

页数：14

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