Metodi pseudo Runge-Kutta ottimali

For the numerical integration of the problem with initial value $$y' = f(x,y),y(x_0 ) = y_0 ,\begin{array}{*{20}c} {\begin{array}{*{20}c} x \\ {x_0 } \\ \end{array} \in a,b],} \\ \end{array} $$ the pseudo R. K. methods of second kind are taken again and approximations are drawn, that in particular casef(x, y)≡f(x) are reduced to quadrature formulae of Radau and Lobatto. The limits of the trancation's error and the stability's intervals of the pseudo R. K. methods of the first and second species with the approximations of the same order of R. K. are determined and compared. At the end of that, a numerical example is taken.