Method for numerical solution of Volterra integral equations, based on the O.I.M. methods, is suggested. It is known that the class of O.I.M. methods includes $A$-stable methods of arbitrary high order of asymptotic accuracy. In part 5, it is proved that these methods generate methods for numerical solution of Volterra equations which are also $A$-stable and of an arbitrarily high order. There is one advantage of the methods. Namely, they need no matrix inversion in the course of their numerical realization.
 Práger M., Taufer J., Vitásek E.: Overimplicit multistep methods
. Aplikace matematiky 18 (1973), 399-421. MR 0366041
 Noble B.: Instability when solving Volterra integral equation of the first kind by multistep methods
. in Conference on the numerical solution of differential equations, Lecture notes in Mathematics 109, 23-39. MR 0273859