SPURIOUS NUMERICAL SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Spurious solution Asymptotic behavior Delay differential equation.
• 年，卷（期）: 2006,（2）
• 页码范围: 181-192
• 页数: 12页
• 语种: 英文

摘要

This paper deals with the relationship between asymptotic behavior of the numerical solution and that of the true solution itself for fixed step-sizes. The numerical solution is viewed as a dynamical system in which the step-size acts as a parameter. We present a unified approach to look for bifurcations from the steady solutions into spurious solutions as step-size varies.