Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients
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. The...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/427023 |
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| _version_ | 1850178846000676864 |
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| author | Xiuling Yin Yanqin Liu |
| author_facet | Xiuling Yin Yanqin Liu |
| author_sort | Xiuling Yin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c5d3c76ef24f43ac9aa9e41f7c54ee02 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c5d3c76ef24f43ac9aa9e41f7c54ee022025-08-20T02:18:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/427023427023Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable CoefficientsXiuling Yin0Yanqin Liu1School of Mathematical Sciences, Dezhou University, Dezhou 253023, ChinaSchool of Mathematical Sciences, Dezhou University, Dezhou 253023, ChinaThis 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.http://dx.doi.org/10.1155/2014/427023 |
| spellingShingle | Xiuling Yin Yanqin Liu Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients Abstract and Applied Analysis |
| title | Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients |
| title_full | Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients |
| title_fullStr | Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients |
| title_full_unstemmed | Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients |
| title_short | Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients |
| title_sort | symplectic schemes for linear stochastic schrodinger equations with variable coefficients |
| url | http://dx.doi.org/10.1155/2014/427023 |
| work_keys_str_mv | AT xiulingyin symplecticschemesforlinearstochasticschrodingerequationswithvariablecoefficients AT yanqinliu symplecticschemesforlinearstochasticschrodingerequationswithvariablecoefficients |