2011•Basic Sciences Journal of Textile UniversitiesRequires access

Asymptotic stability of two-step Runge-Kutta methods for differential-algebraic equations with several delays

Mao Hong-kun

Abstract

The two-step Runge-Kutta methods for the differential-algebraic equations with several delays are developed and it is proved that the methods are asymptotically stable under the assumption that the coefficient matrices are all upper triangular.This assumption is regarded as true for DDAEs which have a wide range of applications.

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Key concepts: Mathematics, Runge–Kutta methods, Algebraic number, Differential algebraic equation, Stability theory, Stability (learning theory), Applied mathematics, Range (aeronautics)