Plane wave stability of some conservative schemes for the cubic Schrödinger equation

Details Plane wave stability of some conservative schemes for the cubic Schrödinger equation Plane wave stability of some conservative schemes for the cubic Schrödinger equation

2010-11-04

arxiv.org/abs/1011.1062v1

M2AN Math. Model. Numer. Anal. 43 (2009), no. 4, 677-687

Mathematics

Numerical Analysis

12 pages, 6 figures

Scientific paper

The plane wave stability properties of the conservative schemes of Besse and
Fei et al. for the cubic Schr\"{o}dinger equation are analysed. Although the
two methods possess many of the same conservation properties, we show that
their stability behaviour is very different. An energy preserving
generalisation of the Fei method with improved stability is presented.

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