图 书 馆
操作员引用多任务高斯过程去求解微分方程Operator Induced Multi-Task Gaussian Processes for Solving Differential Equations |
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| 课程网址: | http://videolectures.net/nipsworkshops2010_melkumyan_oim/ |
| 主讲教师: | Arman Melkumyan |
| 开课单位: | 悉尼大学 |
| 开课时间: | 2011-01-12 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | Ordinary and partial differential equations are extensively used in different branches of science and engineering to model wide variety of phenomena, such as diffusion, stability, wave propagation, population growth and chemical reactions, to mention just a few. For most practical problems these differential equations cannot be solved analytically and numerical techniques must be employed. This paper develops methodology for applying mutli-task Gaussian processes to numerical solution of ordinary (ODEs) and partial (PDEs) differential equations. For different classes of ODEs and PDEs a detailed evaluation of the accuracy of the proposed methodology is presented by comparing the obtained numerical solutions with the corresponding exact analytical ones. |
| 关 键 词: | 偏微分方程; 高斯过程; 常微分方程 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2020-06-02：张荧(课程编辑志愿者) |
| 阅读次数: | 98 |