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

By Mingzhu Liu, Minghui Song, Zhiqiang Yang. 2004

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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.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d1a7379e5321c23a609d25aab92b1012b076dcd8