D-CONVERGENCE OF ONE-LEG METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS

• 来源期刊: 计算数学
• 学科: 数学
• 关键词: Nonlinear delay differential equations One-leg methods D-convergence.
• 年，卷（期）: 2001,（6）
• 页码范围: 601-606
• 页数: 6页
• 分类号: O1
• 语种: 英文

摘要

This paper is concerned with the numerical solution of delay differential equations(DDEs).We focus on the error analysis of one-leg methods applied nonlinear stiff DDEs. It is proved that an A-stable one-leg method with a simple linear interpolation is D-convergent of order p, if it is consistent of order p in the classical sense.