New P-stable eighth algebraic order exponentially-fitted methods for the numerical integration of the Schrodinger equation

被引：78
|
作者：
Avdelas, G
Kefalidis, E
Simos, TE
机构：
[1] Tech Univ Crete, Lab Appl Math & Comp, Dept Sci, GR-73100 Iraklion, Greece
[2] Democritus Univ Thrace, Sect Math, Dept Civil Engn, Sch Engn, GR-67100 Xanthi, Greece
[3] Univ Peloponnese, Fac Sci & Technol, Dept Comp Sci & Technol, GR-22100 Tripolis, Greece
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2002年 / 31卷 / 04期
关键词：
Schrodinger equation; exponential fitting; P-stability; finite difference; multistep methods; scattering problems;
D O I：
10.1023/A:1021020705327
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
A family of P-stable high algebraic order exponentially-fitted methods for the numerical solution of the Schrodinger equation is developed in this paper. Numerical illustration to the resonance problem of the radial Schrodinger equation indicates that the new proposed methods are generally more efficient than the previously developed exponentially-fitted methods of the same kind.
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页码：371 / 404
页数：34
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