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Stability of Runge-Kutta methods for the generalized pantograph equation

โœ Scribed by Toshiyuki Koto


Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
100 KB
Volume
84
Category
Article
ISSN
0029-599X

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The GPG-stability of Runge-Kutta methods for the numerical solutions of the systems of delay differential equations is considered. The stability behaviour of implicit Runge-Kutta methods (IRK) is analyzed for the solution of the system of linear test equations with multiple delay terms. After an est

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Stability of IMEX (implicit-explicit) Runge-Kutta methods applied to delay differential equations (DDEs) is studied on the basis of the scalar test equation du/dt = u(t) + u(t -), where is a constant delay and , are complex parameters. More specifically, P-stability regions of the methods are define