%0 Journal Article
%T A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schr£żdinger Equation
%A Z. A. Anastassi
%A D. S. Vlachos
%A T. E. Simos
%J Mathematics
%D 2008
%I arXiv
%X In the present paper we introduce a new methodology for the construction of numerical methods for the approximate solution of the one-dimensional Schr\"odinger equation. The new methodology is based on the requirement of vanishing the phase-lag and its derivatives. The efficiency of the new methodology is proved via error analysis and numerical applications.
%U http://arxiv.org/abs/0811.2473v1