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

Authors
ROBINSON MP FAIRWEATHER G
Citation
Mp. Robinson et G. Fairweather, ORTHOGONAL SPLINE COLLOCATION METHODS FOR SCHRODINGER-TYPE EQUATIONS IN ONE SPACE VARIABLE, Numerische Mathematik, 68(3), 1994, pp. 355-376
Citations number
33
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
68
Issue
3
Year of publication
1994
Pages
355 - 376
Database
ISI
SICI code
0029-599X(1994)68:3<355:OSCMFS>2.0.ZU;2-A
Abstract
We examine the use of orthogonal spline collocation for the semi-discr etization of the cubic Schrodinger equation and the two-dimensional pa rabolic equation of Tappert. In each case, an optimal order L2 estimat e of the error in the semidiscrete approximation is derived. For the c ubic Schrodinger equation, we present the results of numerical experim ents in which the integration in time is performed using a routine fro m a software library.