Abstract

This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. We investigate the dissipativity properties of (k, l)-algebraically stable multistep Runge-Kutta methods with constrained grid and an uniform grid. The finitedimensional and infinite-dimensional dissipativity results of (k, l)-algebraically stable Runge-Kutta methods are obtained.

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