Stability Analysis of Runge-Kutta Methods for Delay Integro-Differential Equations

2004Acta Scientiarum Naturalium Universitatis SunyatseniMathematics被引 2

摘要

Considering a linear system of delay integro-differential equations with a constant delay whose zero solution is asympototically stable, this paper discusses the stability of numerical methods for the system. The adaptation of Runge-Kutta methods with a Lagrange interpolation procedure was focused on inheriting the asymptotic stability of underlying linear systems. The results show that an A-stable Runge-Kutta method preserves the asympototic stability of underlying linear systems whenever an unconstrained grid is used.

引用本文（GB/T 7714）

甘四清, 郑纬民. Stability Analysis of Runge-Kutta Methods for Delay Integro-Differential Equations[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2004.

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