A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schr\"odinger Equation

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

A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schr\"odinger Equation

Numerical Analysis 2008-11-18 v1

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

Abstract

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.

Keywords

Schrödinger equation numerical solution phase-lag error analysis numerical methods

Cite

@article{arxiv.0811.2473,
  title  = {A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schr\"odinger Equation},
  author = {Z. A. Anastassi and D. S. Vlachos and T. E. Simos},
  journal= {arXiv preprint arXiv:0811.2473},
  year   = {2008}
}

Comments

38 pages, 29 figures

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