A generator of hybrid symmetric four-step methods for the numerical solution of the Schrodinger equation

被引：147

作者：

Konguetsof, A

Simos, TE

机构：

[1] Democritus Univ Thrace, Sch Engn, Dept Product & Management Engn, GR-67100 Xanthi, Greece

[2] Univ Peloponnese, Fac Sci & Technol, Dept Comp Sci & Technol, GR-22100 Tripolis, Greece

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 158卷 / 01期

关键词：

hybrid methods; explicit methods; algebraic order; phase-lag; interval of periodicity; Schrodinger equation; initial-value problems;

D O I：

10.1016/S0377-0427(03)00469-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a generator of hybrid explicit four-step methods with minimal phase-lag is developed. The methods are of sixth algebraic order and have large intervals of periodicity. The coefficients of the methods are determined in order to have minimal phase-lag. The efficiency of the new methods is showed by their application to the Schrodinger equation and by their comparison with other well-known methods. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：93 / 106

页数：14

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