ASYMPTOTIC STABILITY FOR GAUSS METHODS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Delay differential equations Stability Runge-Kutta methods.
• 年，卷（期）: 2002,（2）
• 页码范围: 217-224
• 页数: 8页
• 语种: 英文

摘要

In [4] we proved that all Gauss methods areNτ(0)-compatible for neutral delay differential equations (NDDEs) of the form:y'(t) = ay(t) + by(t - τ) + cy'(t - τ), t ＞ 0,y(t) = g(t), -τ≤ t ≤ 0, (0.1)where a, b, c are real, τ＞ 0, g(t) is a continuous real valued function. In this paper we are going to use the theory of order stars to characterize the asymptotic stability properties of Gauss methods for NDDEs. And then proved that all Gauss methods are Nτ(0)-stable.