arXiv:0811.2473 Abstract | arXiv Analytics

arXiv:0811.2473 [math.NA]Abstract References Reviews Resources

A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schrödinger Equation

Z. A. Anastassi, D. S. Vlachos, T. E. Simos

Published 2008-11-15Version 1

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.

Comments: 38 pages, 29 figures

Categories: math.NA

Subjects: 65L05, 65L06, 81Q05

Keywords: numerical methods, schrödinger equation, methodology, numerical solution, development

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