摘要
This paper is concerned with the error analysis of one-leg methods when applied to nonlinear stiff Delay Differential Equations(DDEs) with a variable delay. It is proved that a one-leg method with Lagrangian linear interpolation procedure is D-convergent of oder p if and only if it is A-stable and consistent of order p in the classical sense for ODEs. The results obtained can be regarded as extension of that for DDEs with constant delay presented by Huang Chenming et al. in
This paper is concerned with the error analysis of one-leg methods when applied to nonlinear stiff Delay Differential Equations(DDEs) with a variable delay. It is proved that a one-leg method with Lagrangian linear interpolation procedure is D-convergent of oder p if and only if it is A-stable and consistent of order p in the classical sense for ODEs. The results obtained can be regarded as extension of that for DDEs with constant delay presented by Huang Chengming et al. in 2001
出处
《计算数学》
CSCD
北大核心
2004年第2期247-256,共10页
Mathematica Numerica Sinica
基金
国家863高技术惯性约束聚变主题资助科研项目
国家自然科学基金资助项目(10271100)
湖南省自然科学基金(03JJY3004)
湖南省教育厅资助科研项目.
关键词
延迟微分方程
收敛性
数值方法
单支方法
Delay differential equations, one-leg methods, D-convergence
