Stability of Runge-Kutta methods in the numerical solution of equation u '(t) = au(t) plus a(0)u([t]) plus a1u([t-1])

作者：Yang ZW; Liu MZ^*; Song MH

来源：Applied Mathematics and Computation, 2005, 162(1): 37-50.

DOI：10.1016/j.amc.2003.12.081

• delay differential equation
• piecewise continuous arguments
• asymptotic stability

This paper is concerned with the stability analysis of the Runge-Kutta methods for the equation u'(t) = au(t) + a(0)u([t]) + a(1)u([t - 1]). The stability regions for the Runge-Kutta methods are determined. The conditions that the analytic stability region is contained in the numerical stability region are obtained and some numerical experiments are given.

• 出版日期2005-3-4
• 单位哈尔滨工业大学