%0 Journal Article
%T A Family of Runge-Kutta Methods with Zero Phase-Lag and Derivatives for the Numerical Solution of the Schr£żdinger Equation and Related Problems
%A Z. A. Anastassi
%A D. S. Vlachos
%A T. E. Simos
%J Mathematics
%D 2008
%I arXiv
%X We construct a family of two new optimized explicit Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the time-independent radial Schr\"odinger equation and related ordinary differential equations with oscillating solutions. The numerical results show the superiority of the new technique of nullifying both the phase-lag and its derivatives.
%U http://arxiv.org/abs/0811.2469v1