# Numerical methods of Ordinary and Partial Differential Equations

- Institution: IIT Kharagpur
- Department: Mathematics
- Teacher: Dr. G.P. Raja Sekhar
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111105038)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111105038)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Motivation with few Examples](https://invisiblenetwork.ai/learn/nptel/111105038/82684552da07) (Video)
2. [Single - Step Methods for IVPs](https://invisiblenetwork.ai/learn/nptel/111105038/18cf46f068f8) (Video)
3. [Analysis of Single Step Methods](https://invisiblenetwork.ai/learn/nptel/111105038/4d26a4093c90) (Video)
4. [Runge - Kutta Methods for IVPs](https://invisiblenetwork.ai/learn/nptel/111105038/ed5a5b1e55e7) (Video)
5. [Higher Order Methods/Equations](https://invisiblenetwork.ai/learn/nptel/111105038/3eaa61d8a137) (Video)
6. [Error - Stability - Convergence of Single Step Methods](https://invisiblenetwork.ai/learn/nptel/111105038/eb5da81ed6c2) (Video)
7. [Tutorial - I](https://invisiblenetwork.ai/learn/nptel/111105038/a181f870135e) (Video)
8. [Tutorial - II](https://invisiblenetwork.ai/learn/nptel/111105038/9d1f3c0ad4e1) (Video)
9. [Multi-Step Methods (Explicit)](https://invisiblenetwork.ai/learn/nptel/111105038/4fcf0e2d0838) (Video)
10. [Multi-Step Methods (Implicit)](https://invisiblenetwork.ai/learn/nptel/111105038/9ce6c04e166d) (Video)
11. [Convergence and Stability of multi step methods](https://invisiblenetwork.ai/learn/nptel/111105038/946f5cbe026b) (Video)
12. [General methods for absolute stability](https://invisiblenetwork.ai/learn/nptel/111105038/00b46160f7df) (Video)
13. [Stability Analysis of Multi Step Methods](https://invisiblenetwork.ai/learn/nptel/111105038/f4f2a2c48a31) (Video)
14. [Predictor - Corrector Methods](https://invisiblenetwork.ai/learn/nptel/111105038/3045f34f9c0c) (Video)
15. [Some Comments on Multi - Step Methods](https://invisiblenetwork.ai/learn/nptel/111105038/e4df05bc4866) (Video)
16. [Finite Difference Methods - Linear BVPs](https://invisiblenetwork.ai/learn/nptel/111105038/ed412d1ddd29) (Video)
17. [Linear/Non - Linear Second Order BVPs](https://invisiblenetwork.ai/learn/nptel/111105038/37d8552880ad) (Video)
18. [BVPS - Derivative Boundary Conditions](https://invisiblenetwork.ai/learn/nptel/111105038/3246b1cddf24) (Video)
19. [Higher Order BVPs](https://invisiblenetwork.ai/learn/nptel/111105038/f32b1981af71) (Video)
20. [Shooting Method BVPs](https://invisiblenetwork.ai/learn/nptel/111105038/1fc91a21245c) (Video)
21. [Tutorial - III](https://invisiblenetwork.ai/learn/nptel/111105038/e6f238b30331) (Video)
22. [Introduction to First Order PDE](https://invisiblenetwork.ai/learn/nptel/111105038/4569b5f4ef15) (Video)
23. [Introduction to Second Order PDE](https://invisiblenetwork.ai/learn/nptel/111105038/8c49cb8ba878) (Video)
24. [Finite Difference Approximations to Parabolic PDEs](https://invisiblenetwork.ai/learn/nptel/111105038/2b8ded7ff994) (Video)
25. [Implicit Methods for Parabolic PDEs](https://invisiblenetwork.ai/learn/nptel/111105038/083313ea2dc3) (Video)
26. [Consistency, Stability and Convergence](https://invisiblenetwork.ai/learn/nptel/111105038/a2ee7f102d06) (Video)
27. [Other Numerical Methods for Parabolic PDEs](https://invisiblenetwork.ai/learn/nptel/111105038/4e02ef504985) (Video)
28. [Tutorial - IV](https://invisiblenetwork.ai/learn/nptel/111105038/b61ae27d5e0d) (Video)
29. [Matrix Stability Analysis of Finite Difference Scheme](https://invisiblenetwork.ai/learn/nptel/111105038/fa784604df1f) (Video)
30. [Fourier Series Stability Analysis of Finite Difference Scheme](https://invisiblenetwork.ai/learn/nptel/111105038/9be602dbc8f3) (Video)
31. [Finite Difference Approximations to Elliptic PDEs- I](https://invisiblenetwork.ai/learn/nptel/111105038/045f4cb06f15) (Video)
32. [Finite Difference Approximations to Elliptic PDEs - II](https://invisiblenetwork.ai/learn/nptel/111105038/074d4c45a43c) (Video)
33. [Finite Difference Approximations to Elliptic PDEs - III](https://invisiblenetwork.ai/learn/nptel/111105038/98b22debaf6c) (Video)
34. [Finite Difference Approximations to Elliptic PDEs - IV](https://invisiblenetwork.ai/learn/nptel/111105038/6ada7b0dfa32) (Video)
35. [Finite Difference Approximations to Hyperbolic PDEs - I](https://invisiblenetwork.ai/learn/nptel/111105038/398ad56eb847) (Video)
36. [Finite Difference Approximations to Hyperbolic PDEs - II](https://invisiblenetwork.ai/learn/nptel/111105038/c591a3f95ccd) (Video)
37. [Method of characteristics for Hyperbolic PDEs - I](https://invisiblenetwork.ai/learn/nptel/111105038/658656e3bde8) (Video)
38. [Method of characterisitcs of Hyperbolic PDEs - II](https://invisiblenetwork.ai/learn/nptel/111105038/ef328c212a5e) (Video)
39. [Finite Difference Approximations to 1st order Hyperbolic PDEs](https://invisiblenetwork.ai/learn/nptel/111105038/99ae6bb63194) (Video)
40. [Summary, Appendices, Remarks](https://invisiblenetwork.ai/learn/nptel/111105038/31a3040bbd02) (Video)