Elementary Numerical Analysis Video Lectures

Elementary Numerical Analysis
'Elementary Numerical Analysis' Video Lectures by Prof. Rekha P. Kulkarni from IIT Bombay
"Elementary Numerical Analysis" - Video Lectures
1. L1- Introduction
2. L2-Polynomial Approximation
3. L3-Interpolating Polynomials
4. L4-Properties of Divided Difference
5. L5-Error in the Interpolating polynomial
6. L6-Cubic Hermite Interpolation
7. L7-Piecewise Polynomial Approximation
8. L8-Cubic Spline Interpolation
9. L9-Tutorial 1
10. L10-Numerical Integration: Basic Rules
11. L11-Composite Numerical Integration
12. L12-Gauss 2-point Rule: Construction
13. L13-Gauss 2-point Rule: Error
14. L14-Convergence of Gaussian Integration
15. L15-Tutorial 2
16. L16-Numerical Differentiation
17. L17-Gauss Elimination
18. L18-L U decomposition
19. L19-Cholesky decomposition
20. L20-Gauss Elimination with partial pivoting
21. L21-Vector and Matrix Norms
22. L22-Perturbed Linear Systems
23. L23-Ill-conditioned Linear System
24. L24-Tutorial 3
25. L25-Effect of Small Pivots
26. L26-Solution of Non-linear Equations
27. L27-Quadratic Convergence of Newton's Method
28. L28-Jacobi Method
29. L29-Gauss-Seidel Method
30. L30-Tutorial 4
31. L31-Initial Value Problem
32. L32-Multi-step Methods
33. L33-Predictor-Corrector Formulae
34. L34-Boundary Value Problems
35. L35-Eigenvalues and Eigenvectors
36. L36-Spectral Theorem
37. L37-Power Method
38. L38-Inverse Power Method
39. L39-Q R Decomposition
40. L40-Q R Method
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