Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients

Joint Authors

Liu, Yanqin
Yin, Xiuling

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-22

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Yin, Xiuling& Liu, Yanqin. 2014. Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013916

Modern Language Association (MLA)

Yin, Xiuling& Liu, Yanqin. Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1013916

American Medical Association (AMA)

Yin, Xiuling& Liu, Yanqin. Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013916

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013916