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.
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页码：301 / 319
页数：19
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