Abstract

We construct and investigate the high-order symmetric explicit and implicit methods to solve the systems of second-order ordinary differential equations. The methods were selected according to size of the interval of periodicity, an error constant, behaviour of the roots of the stability polynomial, and accuracy of numerical solution of tests problem including simulation of disturbed orbital motion.

中文翻译：

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构造对称多步方法族的技术

摘要

我们构造并研究了求解二阶常微分方程组的高阶对称显式和隐式方法。根据周期间隔的大小、误差常数、稳定性多项式根的行为以及包括受扰轨道运动模拟在内的测试问题数值解的准确性来选择方法。