六阶嵌入式方法族

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2022-01-01 DOI:10.21638/11701/spbu10.2022.209

I. V. Olemskoy, O. S. Firyulina, O. A. Tumka

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引用次数: 0

摘要

本文导出了求解常微分方程组的六阶七阶嵌入式方法。给出了一类六阶、七阶、三个自由参数的Runge- Kutta方法。这个家族通过嵌入方法以两种不同的方式进行扩展，形成嵌入方法对的家族。对构造族中嵌入对的若干实例进行了数值比较。

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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FAMILIES OF EMBEDDED METHODS OF ORDER SIX

In the paper embedded methods of order six, with seven stages for solving systems of ordinary differential equations, are derived. A family of Runge- Kutta methods, of order six with seven stages and having three free parameters, is presented. This family is extended in two different ways with embedded methods to form families of embedded method pairs. Numerical comparison is given for certain examples of the embedded pairs from the constructed families.

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来源期刊

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.