# Dynamic Data Assimilation: an introduction

- Institution: IIT Madras
- Department: Mathematics
- Teacher: Prof. S. Lakshmivarahan
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111106082)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111106082)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [An Overview](https://invisiblenetwork.ai/learn/nptel/111106082/568f8aaa1bb0) (Video)
2. [Data Mining, Data assimilation and prediction](https://invisiblenetwork.ai/learn/nptel/111106082/038e7dcf891b) (Video)
3. [A classification of forecast errors](https://invisiblenetwork.ai/learn/nptel/111106082/d44c5e4f84b7) (Video)
4. [Finite Dimensional Vector Space](https://invisiblenetwork.ai/learn/nptel/111106082/9a381a832e87) (Video)
5. [Matrices](https://invisiblenetwork.ai/learn/nptel/111106082/d9f0363b2956) (Video)
6. [Matrices Continued](https://invisiblenetwork.ai/learn/nptel/111106082/7a21a98a8940) (Video)
7. [Multi-variate Calculus](https://invisiblenetwork.ai/learn/nptel/111106082/8c9f8ec5db10) (Video)
8. [Optimization in Finite Dimensional Vector spaces](https://invisiblenetwork.ai/learn/nptel/111106082/9ef6b4a82a55) (Video)
9. [Deterministic, Static, linear Inverse (well-posed) Problems](https://invisiblenetwork.ai/learn/nptel/111106082/76cc2fdffa6d) (Video)
10. [Deterministic, Static, Linear Inverse (Ill-posed) Problems](https://invisiblenetwork.ai/learn/nptel/111106082/89ec1cfeab20) (Video)
11. [A Geometric View – Projections](https://invisiblenetwork.ai/learn/nptel/111106082/b0fa703c290f) (Video)
12. [Deterministic, Static, nonlinear Inverse Problems](https://invisiblenetwork.ai/learn/nptel/111106082/22aceca93ec5) (Video)
13. [On-line Least Squares](https://invisiblenetwork.ai/learn/nptel/111106082/be0019ebbb59) (Video)
14. [Examples of static inverse problems](https://invisiblenetwork.ai/learn/nptel/111106082/0d2f22669543) (Video)
15. [Interlude and a Way Forward](https://invisiblenetwork.ai/learn/nptel/111106082/94c21ef2a4b2) (Video)
16. [Matrix Decomposition Algorithms](https://invisiblenetwork.ai/learn/nptel/111106082/9aae14ade41a) (Video)
17. [Matrix Decomposition Algorithms Continued](https://invisiblenetwork.ai/learn/nptel/111106082/dac4970ab9d7) (Video)
18. [Minimization algorithms](https://invisiblenetwork.ai/learn/nptel/111106082/e57858cfa89a) (Video)
19. [Minimization algorithms Continued](https://invisiblenetwork.ai/learn/nptel/111106082/e4ae59157656) (Video)
20. [Inverse problems in deterministic](https://invisiblenetwork.ai/learn/nptel/111106082/8c77d95a6bfa) (Video)
21. [Inverse problems in deterministic Continued](https://invisiblenetwork.ai/learn/nptel/111106082/2fbc23fac6f6) (Video)
22. [Forward sensitivity method](https://invisiblenetwork.ai/learn/nptel/111106082/ebcda4636b56) (Video)
23. [Relation between FSM and 4DVAR](https://invisiblenetwork.ai/learn/nptel/111106082/a2476cdea418) (Video)
24. [Statistical Estimation](https://invisiblenetwork.ai/learn/nptel/111106082/fe32d2f519dd) (Video)
25. [Statistical Least Squares](https://invisiblenetwork.ai/learn/nptel/111106082/9a4e544554a2) (Video)
26. [Maximum Likelihood Method](https://invisiblenetwork.ai/learn/nptel/111106082/e2cf5b9e894a) (Video)
27. [Bayesian Estimation](https://invisiblenetwork.ai/learn/nptel/111106082/159472718d6d) (Video)
28. [From Gauss to Kalman-Linear Minimum Variance Estimation](https://invisiblenetwork.ai/learn/nptel/111106082/b7d98c1686bb) (Video)
29. [Initialization Classical Method](https://invisiblenetwork.ai/learn/nptel/111106082/efe32f1e7204) (Video)
30. [Optimal interpolations](https://invisiblenetwork.ai/learn/nptel/111106082/be9fee4aa382) (Video)
31. [A Bayesian Formation-3D-VAR methods](https://invisiblenetwork.ai/learn/nptel/111106082/cb7fb49dc0cb) (Video)
32. [Linear Stochastic Dynamics - Kalman Filter](https://invisiblenetwork.ai/learn/nptel/111106082/890b8821efc6) (Video)
33. [Linear Stochastic Dynamics - Kalman Filter Continued](https://invisiblenetwork.ai/learn/nptel/111106082/10802b0ce5fd) (Video)
34. [Linear Stochastic Dynamics - Kalman Filter Continued.](https://invisiblenetwork.ai/learn/nptel/111106082/ec0c8420b0f1) (Video)
35. [Covariance Square Root Filter](https://invisiblenetwork.ai/learn/nptel/111106082/4bb9c2ea52fb) (Video)
36. [Nonlinear Filtering](https://invisiblenetwork.ai/learn/nptel/111106082/96e0ad943466) (Video)
37. [Ensemble Reduced Rank Filter](https://invisiblenetwork.ai/learn/nptel/111106082/025fdb3e5cc8) (Video)
38. [Basic nudging methods](https://invisiblenetwork.ai/learn/nptel/111106082/bb468e2dd794) (Video)
39. [Deterministic predictability](https://invisiblenetwork.ai/learn/nptel/111106082/1ff8b382162d) (Video)
40. [Predictability A stochastic view and Summary](https://invisiblenetwork.ai/learn/nptel/111106082/d40a7da573ca) (Video)