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Lecture 37 of 71Module 6: Numerical Differentiation and Integration

Multiple Applications of Integration Formulae

Prof. Niket Kaisare · IIT Madras

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Matlab Programming for Numerical Computation, IIT Madras (at NPTEL)
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All the lectures

  1. Week-01 Plan Video
  2. Basics of Programming using MATLAB Video
  3. Array Operations in MATLAB Video
  4. Tutorial: Using Arrays Video
  5. For Loops and Array Indexing in MATLAB Video
  6. Cell Arrays and Structures in MATLAB Video
  7. Bonus - Mixed_Data_Types Video
  8. Plotting and Output Video
  9. Week-02 Plan Video
  10. Loops and Execution Control Video
  11. MATLAB Files -- Scripts and Functions Video
  12. Parameter struct in MATLAB Video
  13. Good Practices in MATLAB Functions Video
  14. Good Practices in MATLAB Functions (Part-2) Video
  15. Debugging MATLAB Code Video
  16. Errors in Numerical Computation Video
  17. Truncation Errors and Taylors Series Video
  18. Round-Off Errors; and Iterative Methods Video
  19. Step-wise Methods and Error Propagation Video
  20. Basics of Linear Algebra Video
  21. Gauss Elimination and Back-Substitution Video
  22. LU Decomposition and Partial Pivoting Video
  23. Gauss Siedel Method Video
  24. (Tutorial) Video
  25. Tri-Diagonal Matrix Algorithm Video
  26. Nonlinear Equations in Single Variable Video
  27. Using MATLAB command fzero Video
  28. Fixed Point Iteration in Single Variable Video
  29. Newton-Raphson (single variable) Video
  30. Using MATLAB command fsolve (multi-variable) Video
  31. Newton-Raphson (multi Variable) Video
  32. Week-06 Plan Video
  33. Differentiation in Single Variable Video
  34. Higher Order Differentiation Formulae Video
  35. Partial Differentials (Bonus) Video
  36. Numerical Integration Video
  37. Multiple Applications of Integration Formulae Video
  38. In-Build MATLAB Integration Functions Video
  39. Introduction and Euler's Method Video
  40. Runge-Kutta (RK-2) method Video
  41. MATLAB ode45 algorithm Video
  42. Higher order Runge-Kutta Methods Video
  43. Error Analysis Video
  44. Multi-Variable ODE Video
  45. Stiff Systems & Solution using ode15s Video
  46. ODE-IVP - Practical Aspects Video
  47. A Final Example for ODE-IVP Video
  48. Week-09 Plan Video
  49. Introduction Video
  50. Linear Least Squares Regression Video
  51. Nonlinear and Functional Regression Video
  52. Interpolation Functions in MATLAB Video
  53. Tutorial: How to do linear and nonlinear regression Video
  54. ODE-BVP: Introduction and Solution using MATLAB Solver Video
  55. ODE-BVP: Solution using Finite Difference Video
  56. ODE-BVP: Shooting Method Video
  57. Extensions to ODE-BVP Video
  58. Partial Differential Equations (PDEs) Video
  59. PDE Solution Approaches Video
  60. Method of Lines for transient PDEs Video
  61. Method of Lines for Hyperbolic PDEs Video
  62. Bonus: Finite Differences for Solving Transient PDEs Video
  63. Bonus: Solving Elliptic PDEs Video
  64. Practical Applications and Course Wrap-Up Video
  65. Revisiting Examples from this Course Video
  66. Solve Nonlinear Equations (with numerical derivative) Video
  67. Regression and Differentiation: Practical Issues Video
  68. Transient PDEs in Multiple Variables Video
  69. Live Session 04-02-2021 Video
  70. Live Session 18-02-2021 Video
  71. Live Session 04-03-2021 Video