Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776612 | Applied Numerical Mathematics | 2017 | 12 Pages |
Abstract
The paper is concerned with the delay-dependent stability analysis of symmetric Runge-Kutta methods, which include the Gauss methods and the Lobatto IIIA, IIIB and IIIS methods, for the second order delay differential equations with three parameters. By using the root locus technique, the root locus curve is given and the numerical stability region of symmetric Runge-Kutta methods is obtained. It is proved that, under some conditions, the analytical stability region is contained in the numerical stability region. Numerical examples confirming the theoretical results are presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Jingjun Zhao, Yan Fan, Yang Xu,