Mechanical - Design and Optimization of Energy Systems (English)

   Thursday, March 06, 2025   

Starting a new Lecture Notes Series on Mechanical - Design and Optimization of Energy Systems

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Lecture 1: Mod-01 Lec-01 Introduction to Optimization

Lecture 2: Mod-01 Lec-02 System Design and Analysis

Lecture 3: Mod-01 Lec-03 Workable system

Lecture 4: Mod-01 Lec-04 System simulation

Lecture 5: Mod-01 Lec-05 Information flow diagrams

Lecture 6: Mod-01 Lec-06 Successive substitution method

Lecture 7: Mod-01 Lec-07 Successive substitution method contd...

Lecture 8: Mod-01 Lec-08 Successive substitution method and Newton-Raphson method

Lecture 9: Mod-01 Lec-09 Newton-Raphson method contd...

Lecture 10: Mod-01 Lec-10 Convergence characteristics of Newton-Raphson method

Lecture 11: Mod-01 Lec-11 Newton-Raphson method for multiple variables

Lecture 12: Mod-01 Lec-12 Solution of system of linear equations

Lecture 13: Mod-01 Lec-13 Introduction to Curve fitting

Lecture 14: Mod-01 Lec-14 Example for Lagrange interpolation

Lecture 15: Mod-01 Lec-15 Lagrange interpolation contd...

Lecture 16: Mod-01 Lec-16 Best fit

Lecture 17: Mod-01 Lec-17 Least Square Regression

Lecture 18: Mod-01 Lec-18 Least Square Regression contd.....

Lecture 19: Mod-01 Lec-19 Least Square Regression contd.....

Lecture 20: Mod-01 Lec-20 Non-linear Regression (Gauss - Newton Algorithm)

Lecture 21: Mod-01 Lec-21 Optimization- Basic ideas

Lecture 22: Mod-01 Lec-22 Properties of objective function and cardinal ideas in optimization

Lecture 23: Mod-01 Lec-23 Unconstrained optimizationy

Lecture 24: Mod-01 Lec-24 Constrained optimization problems

Lecture 25: Mod-01 Lec-25 Mathematical proof of the Lagrange multiplier method

Lecture 26: Mod-01 Lec-26 Test for Maxima/ Minima

Lecture 27: Mod-01 Lec-27 Handling in-equality constraints

Lecture 28: Mod-01 Lec-28 Kuhn-Tucker conditions contd...

Lecture 29: Mod-01 Lec-29 Uni-modal function and search methods

Lecture 30: Mod-01 Lec-30 Dichotomous search

Lecture 31: Mod-01 Lec-31 Fibonacci search method

Lecture 32: Mod-01 Lec-32 Reduction ratio of Fibonacci search method

Lecture 33: Mod-01 Lec-33 Introduction to multi-variable optimization

Lecture 34: Mod-01 Lec-34 The Conjugate gradient method

Lecture 35: Mod-01 Lec-35 The Conjugate gradient method contd...

Lecture 36: Mod-01 Lec-36 Linear programming

Lecture 37: Mod-01 Lec-37 Dynamic programming

Lecture 38: Mod-01 Lec-38 Genetic Algorithms

Lecture 39: Mod-01 Lec-39 Genetic Algorithms contd...

Lecture 40: Mod-01 Lec-40 Simulated Annealing and Summary