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Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients

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  • Xiuling Yin
  • Yanqin Liu

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.

Suggested Citation

  • Xiuling Yin & Yanqin Liu, 2014. "Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, April.
    • Handle: RePEc:hin:jnlaaa:427023
    DOI: 10.1155/2014/427023
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