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
收藏
页码：981 / 1007
页数：27
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