Stability analysis of Runge–Kutta methods for nonlinear Volterra delay‐integro‐differential equations

This paper deals with the stability of Runge–Kutta methods for a class of stiff systems of nonlinear Volterra delay‐integro‐differential equations. Two classes of methods are considered: Runge–Kutta methods extended with a compound quadrature rule, and Runge–Kutta methods extended with a Pouzet type quadrature technique. Global and asymptotic stability criteria for both types of methods are derived.