New P-stable exponentially-fitted methods for the numerical solution of the Schrodinger equation

被引：4

作者：

Avdelas, G

Kefalidis, E

Simos, TE

机构：

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

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

来源：

COMPUTATIONAL MATERIALS SCIENCE | 2001年 / 21卷 / 03期

关键词：

Schrodinger equation; exponential fitting; P-stability; finite difference; multistep methods; scattering problems;

D O I：

10.1016/S0927-0256(01)00146-X

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A family of P-stable exponentially-fitted methods for the numerical integration of the Schrodinger equation is obtained in this paper. An application to the resonance problem of the one-dimensional Schrodinger equation indicates that the new methods are generally more efficient than the previously developed exponentially-fitted methods of the same kind. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：301 / 319

页数：19

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