| 时间分裂空间小波自适应方法在薛定谔方程中的应用 |
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| 引用本文： | 张然,张凯. 时间分裂空间小波自适应方法在薛定谔方程中的应用[J]. 吉林大学学报(理学版), 2004, 42(2): 176-178 |
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| 作者姓名： | 张然 张凯 |
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| 作者单位： | 吉林大学数学学院,长春,130012;吉林大学数学学院,长春,130012 |
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| 基金项目： | 国家973项目基金(批准号:G1998030600). |
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| 摘 要： | 将时间分裂空间小波自适应方法应用于数值求解薛定谔方程(普朗克常数ε很小时). 为了得到稳定且高精度的数值格式, 采用随空间分辨率提高时间步长也自适应的逼近格式, 并给出具体的数值例子.
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| 关 键 词： | 薛定谔方程 分裂法 小波分析 |
| 文章编号： | 1671-5489(2004)02-0176-03 |
| 收稿时间： | 2004-02-16 |
| 修稿时间： | 2004-02-16 |
Application of time-splitting and wavelet based space-time adaptive method to solving Schr(o)dinger equations |
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| ZHANG Ran,ZHANG Kai. Application of time-splitting and wavelet based space-time adaptive method to solving Schr(o)dinger equations[J]. Journal of Jilin University: Sci Ed, 2004, 42(2): 176-178 |
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| Authors: | ZHANG Ran ZHANG Kai |
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| Affiliation: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The paper presents a time-splitting and wavelet based space-time adaptive method for numerical solution of Schrodinger equations (the Planck constant ε is small). The multiresolution structure of wavelet orthonormal bases provides an adaptive way to the local regularity of the solution. In order to gain the stability and precision of the numerical scheme, we introduce an approximate sheme that adapt the time steps to the spatial resolution. Furthermore, numerical tests are presented. |
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| Keywords: | Schrdinger equation splitting method wavelet |
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