Symplectic schemes for linear stochastic Schrödinger equations with variable coefficients (Q1724105)
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scientific article; zbMATH DE number 7022372
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic schemes for linear stochastic Schrödinger equations with variable coefficients |
scientific article; zbMATH DE number 7022372 |
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Symplectic schemes for linear stochastic Schrödinger equations with variable coefficients (English)
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14 February 2019
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Summary: 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.
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