Continuous approximation with embedded Runge-Kutta methods

被引：16

作者：

Baker, TS ^{[1
]}

Dormand, JR ^{[1
]}

Gilmore, JP ^{[1
]}

Prince, PJ ^{[1
]}

机构：

[1] UNIV TEESSIDE,SCH COMP & MATH,MIDDLESBROUGH TS1 3BA,CLEVELAND,ENGLAND

来源：

APPLIED NUMERICAL MATHEMATICS | 1996年 / 22卷 / 1-3期

关键词：

Runge-Kutta pairs; ordinary differential equations; continuous extensions; dense output; global error;

D O I：

10.1016/S0168-9274(96)00025-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The criteria to be satisfied by ''dense'' formulae associated with Runge-Kutta embedded pairs are considered. From a new criterion based on global error considerations, new continuous formulae are derived and tested for some well known efficient pairs.

引用

页码：51 / 62

页数：12

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