Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients

Xiuling Yin and Yanqin Liu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper proposes a kind of symplectic schemes for linear Schrödinger equations with variable coefficients and a stochastic perturbation term by using compact schemes in space. The numerical stability property of the schemes is analyzed. The schemes preserve a discrete charge conservation law. They also follow a discrete energy transforming formula. The numerical experiments verify our analysis.

Date: 2014
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https://doi.org/10.1155/2014/427023

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:427023

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