TITLE:
Compact Extrapolation Schemes for a Linear Schrödinger Equation
AUTHORS:
Xiuling Yin
KEYWORDS:
Schrödinger Equation, Compact Scheme, Stability, Discrete Invariant, Extrapolation
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.4 No.3,
June
3,
2014
ABSTRACT: 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.