【摘 要】
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This paper deals with the GPL-stability of the Implicit Runge-Kutta methods for the numerical solutions of the systems of delay differential equations. We focus
【机 构】
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Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.
论文部分内容阅读
This paper deals with the GPL-stability of the Implicit Runge-Kutta methods for the numerical solutions of the systems of delay differential equations. We focus on the stability behaviour of the Implicit Runge-Kutta(IRK) methods in the solutions of the following test systems with a delay term y＇(t)=Ly(t)+My(t-τ), t≥0,y(t)=φ(t),t≤ 0,where L, M are N×N complex matrices,τ＞ 0,φ(t) is a given vector function. We shall show that the IRK methods is GPL-stable if and only if it is L-stable,when we use the IRK methods to the test systems above.
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