Course11210630937 lectures
Inverse Methods in Heat Transfer
Prof. C.Balaji and Prof.S. Balaji · IIT Madras
Lectures
Inverse Methods in Heat Transfer
- Introduction to inverse problems
- Fermi estimation
- Forward/Direct and Inverse problems
- Key drivers for studying inverse methods in engineering
- Formulation for inverse problems
- Statistical tools for estimation
- Statistical description of errors
- Well-posed and ill-posed problems
- Probability and Statistics Brief over view-I
- Probability and Statistics Brief over view-II
- Gaussian distribution
- Gaussian distribution (Contd.), and Maximum Likelihood Estimation (MLE)
- Linear least square regression
- Linear least square regression (contd.).
- Alternatives to Linear least square.
- Polynomial regression
- Inverse problems in transient conduction-I
- Inverse problems in transient conduction-II
- Non-linear regression
- Gauss-Newton algorithm (GNA)
- Gauss-Newton algorithm (GNA) Example.
- Levenberg-Marquardt algorithm (LMA)
- Tikhonov regularization
- Jacobian and its calculation
- Bayesian methods
- Bayesian methods contd..,
- Metropolis-Hastings algorithm (MH) and Markov Chain Monte Carlo Methods (MCMC)
- Introduction to machine learning in heat transfer
- Overview of machine learning
- Calculation in a neural network model
- Gradient Descent method
- Gradient Descent method contd..,
- Back propagation
- Neural network as a surrogate forward model
- PINN for an inverse problem
- PINN for an inverse problem contd..,
- Inverse methods in heat transfer -Summary
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Mechanical Engineering
- Taught by
- Prof. C.Balaji, Prof.S. Balaji
- Level
- Undergraduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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