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

2008/11/15 by Zacharias Anastassi, Anastassi, Z. A., D. S. Vlachos +3
Engineering · Mathematics · #65L05 #65L06 #81Q05 #Differential Equations and Numerical Methods #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.0811.2473

openalex publication_date 2008/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we introduce a new methodology for the construction of numerical methods for the approximate solution of the one-dimensional Schrödinger 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.

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