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Lecture 6 of 41

Contraction Mapping

Prof. S. De · IIT Kharagpur

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Advanced Mathematical Techniques in Chemical Engineering, IIT Kharagpur (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Introduction to vector space Video
  2. Introduction to vector space (Contd.) Video
  3. Onto, into, one to one function Video
  4. Vectors Video
  5. Vectors (Contd.) Video
  6. Contraction Mapping Video
  7. Contraction Mapping (Contd.) Video
  8. Matrix, Determinant Video
  9. Eigenvalue Problem in Discrete Domain Video
  10. Eigenvalue Problem in Discrete Domain (Contd.) Video
  11. Eigenvalue Problem in Discrete Domain (Contd.) Video
  12. Eigenvalue Problem in Discrete Domain (Contd.) Video
  13. Stability Analysis Video
  14. Stability Analysis (Contd.) Video
  15. Stability Analysis (Contd.) Video
  16. More Examples Video
  17. Partial Differential Equations Video
  18. Partial Differential Equations(Contd.) Video
  19. Eigenvalue Problem in Continuous Domain Video
  20. Special ODEs Video
  21. Adjoint Operator Video
  22. Theorems of Eigenvalues and Eigenfunction Video
  23. Solution PDE : Separation of Variables Method Video
  24. Solution of Parabolic PDE : Separation of variables method Video
  25. Solution of Parabolic PDE : Separation of Variables Method (Contd.) Video
  26. Solution of Higher Dimensional PDEs Video
  27. Solution of Higher Dimensional PDEs (Contd.) Video
  28. Four Dimensional Parabolic PDE Video
  29. Solution of Elliptic and Hyperbolic PDE Video
  30. Solution of Elliptic and Hyperbolic PDE (Contd.) Video
  31. PDE in Cylindrical and Spherical Coordinate Video
  32. Solution of non-homogeneous PDE Video
  33. Solution of non-homogeneous PDE (Contd.) Video
  34. Solution of non-homogeneous Parabolic PDE Video
  35. Solution of non-homogeneous Elliptic PDE Video
  36. Solution of non-homogeneous Elliptic PDE (Contd.) Video
  37. Similarity Solution Video
  38. Similarity Solution (Contd.) Video
  39. Integral Method Video
  40. Laplace Transform Video
  41. Fourier Transform Video