Abstract:
The dissipativity of Runge-Kutta method nonlinear Volterra delay-integral-differential equations is discussed. The dissipativity of (k,l)-algebraically stable Runge Kutta method is discussed when the intergration term is approximated by PQ formula. It is proved that an algebraically stable and DJ-irreducible Runge-Kutta method is dissipative for finite dimensional dynamical systems， a (k,l)-algebraically stable Runge-Kutta method is dissipative for infinite dimensional systems if k
