Dissipativity of Multistep Runge–Kutta Methods for Nonlinear Neutral Delay-Integro-Differential Equations with Constrained Grid

Abstract

This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear neutral delay-integro-differential equations. We investigate the dissipativity properties of -algebraically stable multistep Runge-Kutta methods with constrained grid. The finite-dimensional and infinite-dimensional dissipativity results of -algebraically stable multistep Runge-Kutta methods are obtained.