Un Metodo Esplicito Del Sesto Ordine con tre Stadi per il Problema di Cauchy

Abstract: A six order formula of an explicit method for the numerical initial value problem, proposed in [1], [3], is determined. This formula which for f(x,y)≡f(x) is the Gauss quadrature formula with three points, requires only three stages by comparison with seven stages required by an explicit six order Runge-Kutta method. Convergence and stability are considered and numerical example are also given.