Optimized explicit Runge-Kutta pair of orders 9(8)

被引：34
作者：
Tsitouras, C [1 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, GR-15780 Athens, Greece
来源：
APPLIED NUMERICAL MATHEMATICS | 2001年 / 38卷 / 1-2期
关键词：
initial value problems; high order; embedded pairs; steepest descent;
D O I：
10.1016/S0168-9274(01)00025-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A fully explicit algorithm for deriving a Runge-Kutta pair of orders 9(8) is presented in this paper. After that an optimal pair is given, which is found to outperform all other published Runge-Kutta pairs when severe tolerances are required. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
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页码：123 / 134
页数：12
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