Exponentially fitted Runge-Kutta methods for the numerical solution of the Schrodinger equation and related problems

被引：128

作者：

Simos, TE ^{[1
]}

机构：

[1] Democritus Univ Thrace, Sch Engn, Dept Civil Engn, Sect Math, GR-67100 Xanthi, Greece

来源：

COMPUTATIONAL MATERIALS SCIENCE | 2000年 / 18卷 / 3-4期

关键词：

Schrodinger equation; Runge-Kutta methods; initial-value problems; periodic solutions; oscillating solutions; explicit methods; exponential fitting; orbital problems; hyperbolic equation; coupled differential equations;

D O I：

10.1016/S0927-0256(00)00112-9

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Exponentially fitted Runge-Kutta methods for the numerical integration of the radial Schrodinger equation or systems of equations of the Schrodinger type and for the numerical solution of other related initial-value problems with periodic or oscillating solutions are developed in this paper. Numerical and theoretical results obtained for several well-known problems show the efficiency of the new methods. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：315 / 332

页数：18

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