Title of article
Stability of Runge–Kutta methods in the numerical solution of equation u′(t)=au(t)+a0u([t])
Author/Authors
Liu، نويسنده , , M.Z. and Song، نويسنده , , M.H. and Yang، نويسنده , , Z.W.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
10
From page
361
To page
370
Abstract
This paper is concerned with the stability analysis of the Runge–Kutta methods for the equation u′(t)=au(t)+a0u([t]). 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.
Keywords
Delay differential equation , Piecewise continuous arguments , asymptotic stability
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2004
Journal title
Journal of Computational and Applied Mathematics
Record number
1552533
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