[英文字幕] [2008 FA] MIT 18.085 Computational Science and Engineering I

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2019-01-09 04:20:48
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Course Introduction
04:13
01 Four Special Matrices
54:05
Recitation 1 Key Ideas of Linear Algebra
49:32
02 Differential Eqns and Difference Eqns
52:27
03 Solving a Linear System
54:40
04 Delta Function Day
55:39
Recitation 2
51:13
05 Eigen Values (Part 1)
56:12
06 Eigen Values (part 2) and Positive Definite (part 1)
50:19
07 Positive Definite Day
52:56
Recitation 3
56:13
08 Springs and Masses
55:14
09 Oscillation
53:27
Recitation 4
56:18
010 Finite Differences in Time
54:59
11 Least Squares (part 2)
54:00
12 Graphs and Networks
50:28
Recitation 5
54:54
13 Kirchhoff's Current Law
54:37
14 Exam Review
52:30
Recitation 6
54:26
15 Trusses and A^(T)CA
46:42
16 Trusses (part 2)
48:41
17 Finite Elements in 1D (part 1)
54:22
Recitation 7
53:54
18 Finite Elements in 1D (part 2)
51:36
19 Quadratic Cubic Elements
52:36
20 Element Matrices 4th Order Bending Equations
50:13
Recitation 8
48:08
21 Boundary Conditions, Splines, Gradient, Divergence
53:22
22 Gradient and Divergence
51:19
23 Laplace's Equation
49:53
Recitation 9
51:35
24 Laplace's Equation (part 2)
54:21
25 Fast Poisson Solver (part 1)
52:22
26 Fast Poisson Solver (part 2) Finite Elements in 2D
51:28
Recitation 10
45:33
27 Finite Elements in 2D (part 2)
52:33
28 Fourier Series (part 1)
49:23
Recitation 11
54:08
29 Fourier Series (part 2)
48:41
30 Discrete Fourier Series
50:12
31 Fast Fourier Transform, Convolution
51:42
Recitation 12
51:12
32 Convolution (part 2), Filtering
52:04
33 Filters, Fourier Integral Transform
51:23
Recitation 13
50:29
34 Fourier Integral Transform (part 2)
51:27
35 Convolution Equations Deconvolution
51:21
36 Sampling Theorem
40:58
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