A generator of high-order embedded P-stable methods for the numerical solution of the Schrodinger equation

被引：51

作者：

Avdelas, G ^{[1
]}

Simos, TE ^{[1
]}

机构：

[1] TECH UNIV CRETE, LAB APPL MATH & COMP, HANIA 73100, GREECE

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 72卷 / 02期

关键词：

Schrodinger equation; P-stability; error control; phase shift problem; resonance problem;

D O I：

10.1016/0377-0427(96)00005-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A generator of new embedded P-stable methods of order 2n+2, where n is the number of layers used by the embedded methods, for the approximate numerical integration of the one-dimensional Schrodinger equation is developed in this paper. These new methods are called embedded methods because of a simple natural error control mechanism. Numerical results obtained for one-dimensional differential equations of the Schrodinger type show the validity of the developed theory.

引用

页码：345 / 358

页数：14

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