G. P. Raja Sekhar: Numerical methods of Ordinary and Partial (IIT Kharagpur)

# playlist of the 40 videos (click the up-left corner of the video)

source: nptelhrd    2013年7月22日
Mathematics - Numerical methods of Ordinary and Partial Differential Equations by Prof. Dr. G. P. Raja Sekhar, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

01 Motivation with few Examples 53:54
02 Single - Step Methods for IVPs 55:02
03 Analysis of Single Step Methods 55:51
04 Runge - Kutta Methods for IVPs 56:09
05 Higher Order Methods/Equations 55:38
06 Error - Stability - Convergence of Single Step Methods 58:04
07 Tutorial - I 58:36
08 Lec-08 Tutorial - II 57:24
09 Multi-Step Methods (Explicit) 55:09
10 Multi-Step Methods (Implicit) 53:49
11 Convergence and Stability of multi step methods 59:21
12 General methods for absolute stability 56:45
13 Stability Analysis of Multi Step Method 54:37
14 Predictor - Corrector Methods 57:26
15 Some Comments on Multi - Step Methods 55:24
16 Finite Difference Methods - Linear BVPs 58:24
17 Linear/Non - Linear Second Order BVPs 56:34
18 BVPS - Derivative Boundary Conditions 55:29
19 Higher Order BVPs 58:04
20 Shooting Method BVPs 59:23
21 Tutorial - III 57:45
22 Introduction to First Order PDE 53:03
23 Introduction to Second Order PDE 57:11
24 Finite Difference Approximations to Parabolic PDEs 56:58
25 Implicit Methods for Parabolic PDEs 55:17
26 Consistency, Stability and Convergence 54:48
27 Other Numerical Methods for Parabolic PDEs 57:55
28 Tutorial - IV 55:28
29 Matrix Stability Analysis of Finite Difference Scheme 53:50
30 Fourier Series Stability Analysis of Finite Difference Scheme 53:01
31 Finite Difference Approximations to Elliptic PDEs- I 53:16
32 Finite Difference Approximations to Elliptic PDEs - II 58:09
33 Finite Difference Approximations to Elliptic PDEs - III 57:48
34 Finite Difference Approximations to Elliptic PDEs - IV 57:26
35 Finite Difference Approximations to Hyperbolic PDEs - I 57:46
36 Finite Difference Approximations to Hyperbolic PDEs - II 56:37
37 Method of characteristics for Hyperbolic PDEs - I 55:07
38 Method of characteristics of Hyperbolic PDEs - II 59:28
39 Finite Difference Approximations to 1st order Hyperbolic PDEs  54:41
40 Summary, Appendices, Remarks 55:28