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Course11110100340 lectures

Elementary Numerical Analysis

Prof. Rekha P. Kulkarni · IIT Bombay

Start with lecture 1 At NPTEL

Lectures

Elementary Numerical Analysis

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

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bombay
Department
Mathematics
Teacher
Prof. Rekha P. Kulkarni
Level
Undergraduate
Language
English
Subjects
Mathematics
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.
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