EXPLICIT 2-STEP METHODS WITH MINIMAL PHASE-LAG FOR THE NUMERICAL-INTEGRATION OF SPECIAL 2ND-ORDER INITIAL-VALUE PROBLEMS AND THEIR APPLICATION TO THE ONE-DIMENSIONAL SCHRODINGER-EQUATION

被引：60

作者：

SIMOS, TE ^{[1
]}

机构：

[1] NATL TECH UNIV ATHENS,DEPT MATH,GR-15773 ATHENS,GREECE

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 39卷 / 01期

关键词：

SCHRODINGER EQUATION; RESONANCE PROBLEM; PHASE-LAG;

D O I：

10.1016/0377-0427(92)90224-L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two-step sixth-order methods with phase-lag of order eight, ten and twelve are developed for the numerical integration of the special second-order initial-value problem. An application to the one-dimensional Schrodinger equation on the resonance problem indicates that these new methods are generally more accurate than methods developed by Chawla, Rao and Neta (this journal, 1986, 1987).

引用

页码：89 / 94

页数：6

共 11 条

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