麻省理工学院“开放式课程网页” | 航空宇航工程 | 16.920J 2003 春季课程：偏微分方程数值方法

本教学时程列出教师授课主题、授课教师，及作业缴交时间。大部分课程在麻省理工学院(MIT)讲授，并以视讯将实况传送至国立新加坡大学(NUS)。另有部分课程在NUS讲授，也以视讯将实况传送至MIT。在极少情况下，是以学生观看教师预录影带的方式上课。

This calendar lists the lecture topics for the course, the instructor in charge of each lecture, and assignment due dates. Most lectures were delivered at MIT, and video-casted live to the National University of Singapore (NUS). Some lectures were delivered at NUS, and video-casted live to MIT. In rare circumstances, students watched a taped lecture.


课	课程单元	主要讲师	评分


1	概述 Overview	J. Peraire


2	有限差分：椭圆问题 Finite Differences: Elliptic Problems	J. Peraire


3	有限差分：椭圆问题 Finite Differences: Elliptic Problems	J. Peraire


4	有限差分：抛物线问题 Finite Differences: Parabolic Problems	B. C. Khoo


5	有限差分：特征值，二维问题 Finite Differences: Eigenvalue, 2D Problems	J. Peraire


6	求解法：叠代法 Solution Methods: Iterative Methods	J. Peraire


7	求解法：多重格点法 Solution Methods: Multigrid Methods	J. Peraire


8	有限差分：双曲线问题 Finite Differences: Hyperbolic Problems	J. Peraire


9	有限差分：双曲线问题 Finite Differences: Hyperbolic Problems	J. Peraire	缴交有限差分作业 FD Assignment Due


10	有限体积：线性问题 Finite Volumes: Linear Problems	J. Peraire


11	有限体积：守恒律 Finite Volumes: Conservation Laws	J. Peraire


12	有限体积：非线性问题 Finite Volumes: Nonlinear Problems	J. Peraire


13	有限体积：变分法列式 Finite Elements: Variational Formulation	A. T. Patera


14	有限元素：波桑一维-I Finite Elements: Poisson 1D -- I	A. T. Patera	缴交有限体积作业 FV Assignment Due


15	有限元素：波桑一维-II Finite Elements: Poisson 1D -- II	A. T. Patera


16	有限元素：波桑二维-I Finite Elements: Poisson 2D -- I	A. T. Patera


17	有限元素：波桑二维-II Finite Elements: Poisson 2D -- II	A. T. Patera


18	有限元素：广义椭圆问题 - 概述 Finite Elements: General Elliptic Problems -- Overview	A. T. Patera


19	有限元素：抛物线问题，特征值问题 Finite Elements: Parabolic Problems, Eigenvalue Problems	A. T. Patera


20	积分方程：推导 Integral Equations: Derivation	J. White


21	积分方程：配置与Galerkin法 Integral Equations: Collocation and Galerkin Methods	J. White


22	积分方程：收敛理论 - 第二类 Integral Equations: Convergence Theory -- 2nd Kind	J. White	缴交有限元素作业 FE Assignment Due


23	积分方程：求积法与求容积法 Integral Equations: Quadrature and Cubature	J. White


24	积分方程：Nystrom法 Integral Equations: Nystrom Methods	J. White


25	积分方程式：收敛理论 - 第一类 Integral Equations: Convergence Theory -- 1st Kind	J. White


26	积分方程式：快速求解法 Integral Equations: Fast Solvers	J. White	缴交边界积分作业 BI Assignment Due