The stability of two-step Runge-Kutta methods for delay differential equations(DDEs) with many delays was dealt with,and the stability for the test equation was analyzed.It is shown that a two-step Runge-Kutta method is GPLm-stable if and only if the corresponding method for ordinary differential equation is L-stable.
【基金】
The National Natural Science Foundation(10971140)
【更新日期】
2011-08-09
【分类号】
O241.8
【正文快照】
Introduction1We consider the numerical stability of the initial-valueproblem for delay differential equations(DDEs)with many delays:()(,(),(1),(2),,())0,1;()()0.y t f t y t y t y t y t mt my t g t t′=?τ?τ?τ≥≥=≤L(1)Where f,g denote given function,τ
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