Multiderivative methods of eighth algrebraic order with minimal phase-lag for the numerical solution of the radial Schrodinger equation

被引：159

作者：

Sakas, DP ^{[1
]}

Simos, TE ^{[1
]}

机构：

[1] Univ Peloponnese, Fac Sci & Technol, Dept Comp Sci & Technol, GR-22100 Tripolis, Greece

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 175卷 / 01期

关键词：

multiderivative methods; phase-lag; dispersion; stability;

D O I：

10.1016/j.cam.2004.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multiderivative methods with minimal phase-lag are introduced in this paper. for the numerical solution of the one-dimensional Schrodinger equation. The methods are called multiderivative since they use derivatives of order two, four or six. Numerical application of the newly introduced method to the resonance problem of the one-dimensional Schrodinger equation shows its efficiency compared with other similar well-known methods of the literature. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：161 / 172

页数：12

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