2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/43006The 4-th order Runge-Kutta method in the complex plane is proposed for numerically advancing the solutions of a system of first order differential equations in one external invariant satisfied by the master integrals related to a Feynman graph. Some results obtained for the 2-loop self-mass MI are reviewed. The method offers a reliable and robust approach to the direct and precise numerical evaluation of master integrals.Latex, 8 pag., 3 fig., uses appolb.cls, Presented at Matter To The Deepest, XXVII ICTP, Ustron (Poland), 15-21 Sept 2003High Energy Physics - Phenomenologytext