| 薛定谔方程在非一致网格下数值模拟的界面条件 |
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| 引用本文： | 黄乐天,孙致远.薛定谔方程在非一致网格下数值模拟的界面条件[J].数学杂志,2015,35(4):871-880. |
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| 作者姓名： | 黄乐天 孙致远 |
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| 作者单位： | 武汉大学数学与统计学院, 湖北 武汉 430072,武汉大学数学与统计学院, 湖北 武汉 430072 |
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| 基金项目： | Supported by the Fundamental Research Funds for the Central Universities of China (2014201020207). |
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| 摘 要： | 本文研究了一维线性薛定谔方程在非一致网格下数值模拟的问题.在数值模拟中,非一致网格在界面处会产生虚假反射,利用局部时间步长和界面条件的方法,成功的减小了虚假反射.改进和提高了薛定谔方程数值模拟的效率和精度.
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| 关 键 词： | 薛定谔方程数值模拟 界面条件 局部时间步长 |
| 收稿时间： | 2014/9/12 0:00:00 |
| 修稿时间： | 2014/11/20 0:00:00 |
INTERFACE CONDITION FOR NUMERICAL SIMULATION OF SCHRÖDINGER EQUATION WITH NON-UNIFORM GRID |
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| HUANG Le-tian and SUN Zhi-yuan.INTERFACE CONDITION FOR NUMERICAL SIMULATION OF SCHRÖDINGER EQUATION WITH NON-UNIFORM GRID[J].Journal of Mathematics,2015,35(4):871-880. |
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| Authors: | HUANG Le-tian and SUN Zhi-yuan |
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| Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China and School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | In this article,we study numerical simulation of one-dimensional linear SchrÖodinger wave equation with non-uniform space mesh.The non-uniform mesh will generate the spurious reflection at the interface in numerical simulation,by using locate time stepping method and proper interface condition,we can effectively reduce the spurious reflections at the interface.The interface condition can significantly improve the efficiency and precision in numerical simulation. |
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| Keywords: | SchrÖodinger equation simulation interface condition local time step |
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