一阶方法稳定性多项式设计的数值算法

建模与仿真(英文) Pub Date : 2018-12-19 DOI:10.3384/ECP17142979

E. Novikov, M. V. Rybkov, A. Novikov

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摘要

提出了m = 35阶稳定多项式的系数确定算法。这些系数对应于第一精度阶的显式龙格-库塔方法。给出了多项式在极值点处的值与稳定域的大小和形式之间的关系。给出了数值结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical Algorithm for Design of Stability Polynomials for the First Order Methods

The algorithm for coefficients determination for stability polynomials of degree up to m = 35 is developed. The coefficients correspond to explicit Runge-Kutta methods of the first accuracy order. Dependence between values of a polynomial at the points of extremum and both size and form of a stability domain is shown. Numerical results are given.

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建模与仿真(英文)

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