A new family of two stage symmetric two-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrodinger equation

被引：89

作者：

Hui, Fei ^{[1
]}

Simos, T. E. ^{[2
,3
]}

机构：

[1] Changan Univ, Sch Informat Engn, Xian 710064, Peoples R China

[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[3] Univ Peloponnese, Fac Econ Management & Informat, Dept Informat & Telecommun, Sci Computat Lab, Tripolis 22100, Greece

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2015年 / 53卷 / 10期

关键词：

Phase-lag; Derivative of the phase-lag; Initial value problems; Oscillating solution; Symmetric; Hybrid; Multistep; Schrodinger equation; INITIAL-VALUE PROBLEMS; TRIGONOMETRICALLY-FITTED METHODS; PREDICTOR-CORRECTOR METHOD; KUTTA-NYSTROM METHOD; MULTISTEP METHODS; HIGH-ORDER; 4-STEP METHODS; EFFICIENT INTEGRATION; 2ND-ORDER IVPS; SCATTERING;

D O I：

10.1007/s10910-015-0545-z

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

A family of two stage low computational cost symmetric two-step methods with vanished phase-lag and its derivatives is developed in this paper. More specifically we produce: a two-stage symmetric two-step eighth algebraic order method which has the phase-lag and its first, second and third derivatives vanished and a two-stage symmetric two-step sixth algebraic order method, which is P-stable and has the phase-lag and its first and second derivatives vanished. The local truncation error, the interval of periodicity and the effect of the vanishing of the phase-lag and its derivatives on the efficiency of the obtained method are also studied in this paper.

引用

页码：2191 / 2213

页数：23

共 60 条

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