Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634184 | Applied Mathematics and Computation | 2008 | 5 Pages |
Abstract
This paper is concerned with the numerical solution of delay differential equations. The emphasis is on the nonlinear stability of multistep methods. It is shown that every A-stable linear multistep method with piecewise constant or linear interpolation can preserve the asymptotic stability of a class of nonlinear systems, which is an extension of the well known GP-stability result to the nonlinear case. As a comparison, it is also proved that strict stability at infinity is necessary to the asymptotic stability of one-leg methods for non-autonomous equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chengming Huang,