The number of conditions for a Runge-Kutta method to have effective order p

被引：19

作者：

Butcher, JC ^{[1
]}

SanzSerna, JM ^{[1
]}

机构：

[1] UNIV VALLADOLID, FAC CIENCIAS, DEPT MATEMAT APLICADA & COMPUTAC, VALLADOLID, SPAIN

来源：

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

关键词：

Runge-Kutta method; B-series method; order conditions; effective order; pre-processor; post-processor;

D O I：

10.1016/S0168-9274(96)00028-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We count the number of conditions that a one-step numerical integrator has to satisfy to achieve a given effective order of accuracy p. Effective order refers to the order of the numerical method after the numerical solution has been enhanced by suitable pre- and post-processors, The methods considered include not only Runge-Kutta methods, but also all methods that can be represented by B-series, such as multiderivative generalizations of Runge-Kutta methods.

引用

页码：103 / 111

页数：9

共 17 条

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