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

相关论文

共 33 条

[11] A NUMERICAL STUDY OF THE NONLINEAR SCHRODINGER-EQUATION [J].

GRIFFITHS, DF ;

MITCHELL, AR ;

MORRIS, JL .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1984, 45 (1-3) :177-215

[12] NUMERICAL EXPERIENCE WITH THE NONLINEAR SCHRODINGER-EQUATION [J].

HERBST, BM ;

MORRIS, JL ;

MITCHELL, AR .

JOURNAL OF COMPUTATIONAL PHYSICS, 1985, 60 (02) :282-305

[13] FINITE-ELEMENT SOLUTION TO THE PARABOLIC WAVE-EQUATION [J].

HUANG, DH .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1988, 84 (04) :1405-1413

[14] ON OPTIMAL ORDER ERROR-ESTIMATES FOR THE NONLINEAR SCHRODINGER-EQUATION [J].

KARAKASHIAN, O ;

AKRIVIS, GD ;

DOUGALIS, VA .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (02) :377-400

[15]

LEE D, 1987, COMPUT MATH APPL, V14, P305

[16] AN ENVELOPE SOLITON PROBLEM [J].

MILES, JW .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1981, 41 (02) :227-230

[17]

OSBORNE MR, 1975, TOPICS NUMERICAL ANA, V2, P121

[18] A C-1 FINITE-ELEMENT COLLOCATION METHOD FOR ELLIPTIC-EQUATIONS [J].

PERCELL, P ;

WHEELER, MF .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1980, 17 (05) :605-622

[19] AN EFFICIENT ENHANCEMENT OF FINITE-DIFFERENCE IMPLEMENTATIONS FOR SOLVING PARABOLIC EQUATIONS [J].

ROBERTSON, JS ;

ARNEY, DC ;

JACOBSON, MJ ;

SIEGMANN, WL .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1989, 86 (01) :252-260

[20]

ROBINSON M, 1989, CCS894 U KENT CTR CO

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