18.303 线性偏微分方程18.303 Linear Partial Differential Equations |
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课程网址: | http://ocw.mit.edu/courses/mathematics/18-303-linear-partial-diff... |
主讲教师: | Dr. Matthew Hancock |
开课单位: | 麻省理工学院 |
开课时间: | 2006-01-01 |
课程语种: | 英语 |
中文简介: | 本课程涵盖应用数学的经典偏微分方程:扩散、拉普拉斯/泊松及波方程。它还包括解决这些偏微分方程的方法和工具,如分离变量、傅立叶级数和变换、特征值问题和格林函数。 |
课程简介: | This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods and tools for solving these PDEs, such as separation of variables, Fourier series and transforms, eigenvalue problems, and Green's functions. |
关 键 词: | 扩散; 泊松; 波动方程; 分离变量; 傅里叶级数; 傅里叶变换; 特征值问题; 热传导方程 |
课程来源: | 麻省理工学院公开课 |
最后编审: | 2024-05-12:chenjy |
阅读次数: | 61 |