An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrodinger equation and related periodic initial-value problems

被引：41

作者：

Avdelas, G

Simos, TE

Vigo-Aguiar, J

机构：

[1] Tech Univ Crete, Dept Sci, Lab Appl Math & Comp, GR-73100 Chania, Crete, Greece

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

[3] Univ Salamanca, Dept Pure & Appl Math, E-37008 Salamanca, Spain

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2000年 / 131卷 / 1-2期

关键词：

embedded Runge-Kutta methods; initial-value problems; periodic solutions; oscillating solutions; explicit methods; variable-step exponential fitting; Schrodinger equation;

D O I：

10.1016/S0010-4655(00)00080-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An embedded exponentially-fitted Runge-Kutta method for the numerical integration of the Schrodinger equation and the related initial-value problems with periodic or oscillating solutions is developed in this paper. Numerical results show the efficiency of the new method. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：52 / 67

页数：16

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