The G-Euler process for nonlinear autonomous systems

被引：0

作者：

Dong Won Yu

机构：

[1] Chung-Ang University,Department of Mathematics, College of Natural Sciences

来源：

Journal of Applied Mathematics and Computing | 2018年 / 56卷

关键词：

G-Euler process; Contractive; Expansive; Parallel; Rate of coincidence of behaviors; 65L05; 65L06;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The G-Euler process is an improved version of the Lawson method (SIAM J Numer Anal 4:372–380, 1967). This paper is concerned with the behaviors of true solutions and numerical solutions, and shows that the G-Euler process preserves the behaviors of true solutions with a suitable choice of stepsize. The rate of coincidence of behaviors is introduced instead of the relative error. By using the minimum rate of coincidence of behaviors, we also show that the numerical solutions computed by the G-Euler process follow the true solutions of nonlinear autonomous systems to the last.

引用

页码：459 / 475

页数：16

共 9 条

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[6] Ostermann A(2004)The generalized Euler process for exponentially dominant systems Comput. Math. Appl. 47 161-181
[7] Krogstad S(undefined)undefined undefined undefined undefined-undefined
[8] Lawson JD(undefined)undefined undefined undefined undefined-undefined
[9] Yu DW(undefined)undefined undefined undefined undefined-undefined

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