ORTHOGONAL SPLINE COLLOCATION METHODS FOR SCHRODINGER-TYPE EQUATIONS IN ONE SPACE VARIABLE

被引：50

作者：

ROBINSON, MP ^{[1
]}

FAIRWEATHER, G ^{[1
]}

机构：

[1] UNIV KENTUCKY,DEPT MATH,LEXINGTON,KY 40506

来源：

NUMERISCHE MATHEMATIK | 1994年 / 68卷 / 03期

关键词：

D O I：

10.1007/s002110050067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine the use of orthogonal spline collocation for the semi-discretization of the cubic Schrodinger equation and the two-dimensional parabolic equation of Tappert. In each case, an optimal order L2 estimate of the error in the semidiscrete approximation is derived. For the cubic Schrodinger equation, we present the results of numerical experiments in which the integration in time is performed using a routine from a software library.

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页码：355 / 376

页数：22

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