D-CONVERGENCE AND STABILITY OF A CLASS OF LINEAR MULTISTEP METHODS FOR NONLINEAR DDES

• 来源期刊: 计算数学（英文版）
• 关键词: D-Convergence Stability Multistep methods Nonlinear DDEs.
• 年，卷（期）: 2000,（2）
• 页码范围: 199-206
• 页数: 8页
• 语种: 英文

摘要

This paper deals with the error behaviour and the stability analysis of a class of linear multistep methods with the Lagrangian interpolation (LMLMs) as applied to the nonlinear delay differential equations (DDEs). It is shown that a LMLM is generally stable with respect to the problem of class Dσ,γ, and a p-order linear multistep method together with a q-order Lagrangian interpolation leads to a D convergent LMLM of order min{p, q + 1}.