A new Numerov-type method for the numerical solution of the Schrodinger equation

被引：115

作者：

Simos, T. E. ^{[1
]}

机构：

[1] Univ Peloponnese, Sci Computat Lab, Fac Sci & Technol, Tripolis 22100, Greece

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2009年 / 46卷 / 03期

关键词：

Numerical solution; Schrodinger equation; Multistep methods; Hybrid methods; P-stability; Phase-lag; Phase-fitted; PREDICTOR-CORRECTOR METHODS; RUNGE-KUTTA METHODS; MINIMAL PHASE-LAG; SYMMETRIC MULTISTEP METHODS; EXPONENTIALLY-FITTED METHOD; FINITE-DIFFERENCE METHOD; HYBRID EXPLICIT METHODS; ALGEBRAIC ORDER METHODS; INITIAL-VALUE PROBLEMS; SYMPLECTIC METHODS;

D O I：

10.1007/s10910-009-9553-1

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In the present paper we develop a new methodology for the development of efficient numerical methods for the approximate solution of the one-dimensional Schrodinger equation. The new methodology is based on the requirement that the phase-lag and its derivatives to be vanished. The efficiency of the new methodology is proved via error analysis and numerical results.

引用

页码：981 / 1007

页数：27

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