On the unique solvability of the Runge-Kutta equations.
In this paper the author establishes estimation of the total truncation error after steps in the fifth order Ruge-Kutta-Huťa formula for systems of differential equations. The approach is analogous to that used by Vejvoda for the estimation of the classical formulas of the Runge-Kutta type of the 4-th order.
The paper describes the general form of an ordinary differential equation of the order which allows a nontrivial global transformation consisting of the...