Abstract
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.
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