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 On a discrete-time collocation method for the nonlinear Schrödinger equation with wave operator Vong S.-W. ; Meng Q.-J.; Lei S.-L. 2013-03-01 Source Publication Numerical Methods for Partial Differential Equations ISSN 0749159X 10982426 Volume 29Issue:2Pages:693-705 Abstract We consider a discrete-time orthogonal spline collocation scheme for solving Schrödinger equation with wave operator. The scheme is proposed recently by Wang et al. (J Comput Appl Math 235 (2011), 1993-2005) and is showed to have high-order convergence rate when a parameter θ in the scheme is not less than 1/4. In this article, we show that the result can be extended to include θ ∈ (0,1/4) under an assumption. Numerical example is given to justify the theoretical result. © 2012 Wiley Periodicals, Inc. Keyword Conserved Quantity Nonlinear Schrödinger Equation Orthogonal Spline Collocation Method Wave Operator DOI http://doi.org/10.1002/num.21729 URL View the original Indexed By SCI Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000313993800014 Fulltext Access Citation statistics Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS] Document Type Journal article Collection DEPARTMENT OF MATHEMATICS Affiliation Universidade de Macau Recommended CitationGB/T 7714 Vong S.-W.,Meng Q.-J.,Lei S.-L.. On a discrete-time collocation method for the nonlinear Schrödinger equation with wave operator[J]. Numerical Methods for Partial Differential Equations,2013,29(2):693-705. APA Vong S.-W.,Meng Q.-J.,&Lei S.-L..(2013).On a discrete-time collocation method for the nonlinear Schrödinger equation with wave operator.Numerical Methods for Partial Differential Equations,29(2),693-705. MLA Vong S.-W.,et al."On a discrete-time collocation method for the nonlinear Schrödinger equation with wave operator".Numerical Methods for Partial Differential Equations 29.2(2013):693-705.
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