# Inverse Methods in Heat Transfer

- Institution: IIT Madras
- Department: Mechanical Engineering
- Taught by: Prof. C.Balaji, Prof.S. Balaji
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/112106309)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112106309)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction to inverse problems](https://invisiblenetwork.ai/learn/nptel/112106309/e4f909bd1517) (Video)
2. [Fermi estimation](https://invisiblenetwork.ai/learn/nptel/112106309/8d4c3c3714bb) (Video)
3. [Forward/Direct and Inverse problems](https://invisiblenetwork.ai/learn/nptel/112106309/c98fea0dacde) (Video)
4. [Key drivers for studying inverse methods in engineering](https://invisiblenetwork.ai/learn/nptel/112106309/e98ca3c4d829) (Video)
5. [Formulation for inverse problems](https://invisiblenetwork.ai/learn/nptel/112106309/6a7c08ca3d0b) (Video)
6. [Statistical tools for estimation](https://invisiblenetwork.ai/learn/nptel/112106309/68dd0f8450c1) (Video)
7. [Statistical description of errors](https://invisiblenetwork.ai/learn/nptel/112106309/cff42f943f27) (Video)
8. [Well-posed and ill-posed problems](https://invisiblenetwork.ai/learn/nptel/112106309/057498eeb164) (Video)
9. [Probability and Statistics Brief over view-I](https://invisiblenetwork.ai/learn/nptel/112106309/136f0b8230cb) (Video)
10. [Probability and Statistics Brief over view-II](https://invisiblenetwork.ai/learn/nptel/112106309/9945722c441a) (Video)
11. [Gaussian distribution](https://invisiblenetwork.ai/learn/nptel/112106309/051caa78ada4) (Video)
12. [Gaussian distribution (Contd.), and Maximum Likelihood Estimation (MLE)](https://invisiblenetwork.ai/learn/nptel/112106309/8f91f18a93bb) (Video)
13. [Linear least square regression](https://invisiblenetwork.ai/learn/nptel/112106309/3dc3126a2096) (Video)
14. [Linear least square regression (contd.).](https://invisiblenetwork.ai/learn/nptel/112106309/98f2d9cae9e0) (Video)
15. [Alternatives to Linear least square.](https://invisiblenetwork.ai/learn/nptel/112106309/5e3c4ed5d632) (Video)
16. [Polynomial regression](https://invisiblenetwork.ai/learn/nptel/112106309/35b356cd934c) (Video)
17. [Inverse problems in transient conduction-I](https://invisiblenetwork.ai/learn/nptel/112106309/f86d63e02880) (Video)
18. [Inverse problems in transient conduction-II](https://invisiblenetwork.ai/learn/nptel/112106309/ddcf797f01d1) (Video)
19. [Non-linear regression](https://invisiblenetwork.ai/learn/nptel/112106309/960c5f4cd921) (Video)
20. [Gauss-Newton algorithm (GNA)](https://invisiblenetwork.ai/learn/nptel/112106309/d8859839a67e) (Video)
21. [Gauss-Newton algorithm (GNA) Example.](https://invisiblenetwork.ai/learn/nptel/112106309/59762d62091b) (Video)
22. [Levenberg-Marquardt algorithm (LMA)](https://invisiblenetwork.ai/learn/nptel/112106309/fc30c804916c) (Video)
23. [Tikhonov regularization](https://invisiblenetwork.ai/learn/nptel/112106309/0632ee15ad54) (Video)
24. [Jacobian and its calculation](https://invisiblenetwork.ai/learn/nptel/112106309/6516af780321) (Video)
25. [Bayesian methods](https://invisiblenetwork.ai/learn/nptel/112106309/4a9211a16f13) (Video)
26. [Bayesian methods contd..,](https://invisiblenetwork.ai/learn/nptel/112106309/74dc036c9bef) (Video)
27. [Metropolis-Hastings algorithm (MH) and Markov Chain Monte Carlo Methods (MCMC)](https://invisiblenetwork.ai/learn/nptel/112106309/eb918203be1f) (Video)
28. [Introduction to machine learning in heat transfer](https://invisiblenetwork.ai/learn/nptel/112106309/7c82bf386ebc) (Video)
29. [Overview of machine learning](https://invisiblenetwork.ai/learn/nptel/112106309/60f88986b3a5) (Video)
30. [Calculation in a neural network model](https://invisiblenetwork.ai/learn/nptel/112106309/646d6272a923) (Video)
31. [Gradient Descent method](https://invisiblenetwork.ai/learn/nptel/112106309/bd84e2a6050d) (Video)
32. [Gradient Descent method contd..,](https://invisiblenetwork.ai/learn/nptel/112106309/525942865f07) (Video)
33. [Back propagation](https://invisiblenetwork.ai/learn/nptel/112106309/940d57a07ef7) (Video)
34. [Neural network as a surrogate forward model](https://invisiblenetwork.ai/learn/nptel/112106309/23a174ad76e1) (Video)
35. [PINN for an inverse problem](https://invisiblenetwork.ai/learn/nptel/112106309/8d14dfbadac6) (Video)
36. [PINN for an inverse problem contd..,](https://invisiblenetwork.ai/learn/nptel/112106309/d92488b83df6) (Video)
37. [Inverse methods in heat transfer -Summary](https://invisiblenetwork.ai/learn/nptel/112106309/66f92284ea47) (Video)