求解具有特殊结构的二阶微分方程组的经济四阶三段式方法

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP) Pub Date : 2015-12-03 DOI:10.1109/SCP.2015.7342063

I. V. Olemskoy, A. Eremin, O. S. Firyulina, Aleksei A. Nechiporuk

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引用次数: 1

摘要

研究具有特殊结构的二阶常方程系统的显式嵌入对方法。构造了具有步长自动控制功能的四阶和三阶双参数方法族。与已知的相同阶的嵌入式龙格-库塔对进行数值比较。

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Economic fourth order three-stage method for solving systems of second order differential equations with special structure

An explicit embedded pair of methods for systems of second order ordinary equations with special structure is considered. Two-parametric families of methods of orders four and three with automatic step-size control are constructed. The numeric comparison to known embedded Runge-Kutta pairs of the same order is held.

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2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

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