文章基本信息

标题：Compact Extrapolation Schemes for a Linear Schrödinger Equation
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作者：Xiuling Yin
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2014
卷号：04
期号：03
页码：206-212
DOI：10.4236/ajcm.2014.43017
语种：English
出版社：Scientific Research Publishing
摘要：This paper proposes a kind of compact extrapolation schemes for a linear Schr?dinger equation. The schemes are convergent with fourth-order accuracy both in space and time. Especially, a specific scheme of sixth-order accuracy in space is given. The stability and discrete invariants of the schemes are analyzed. The schemes satisfy discrete conservation laws of original Schr?dinger equation. The numerical example indicates the efficiency of the new schemes.
关键词：Schrödinger Equation; Compact Scheme; Stability; Discrete Invariant; Extrapolation