Testing the Multi-Step Single-Stage Method on Stiff Problems

被引：0

作者：

V. A. Prusov

A. Yu. Doroshenko

机构：

[1] Ukrainian Hydrometeorological Institute of the State Emergency Service and National Academy of Sciences of Ukraine,

[2] National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute,undefined

[3] ”,undefined

来源：

Cybernetics and Systems Analysis | 2020年 / 56卷

关键词：

stiff equations and systems; multi-step single-stage method; (4,2)-method; CROS; four-stage explicit Runge–Kutta method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A multi-step single-stage method is considered, which allows one to integrate stiff differential equations and systems of equations with high accuracy and low computational costs. The examples show that the proposed method is in solving stiff problems as good as the best available methods. The calculation results allow us to determine the absolute stability domains for the multi-step single-stage method, where it is possible to vary integration step within a wide range while maintaining the computational stability of the method.

引用

页码：81 / 88

页数：7