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Lecture 19 of 46Module 04:

Lecture 19: 1D Maps

Prof. Aditya Bandopadhyay · IIT Kharagpur

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Tools in Scientific Computing, IIT Kharagpur (at NPTEL)
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All the lectures

  1. Lecture 01: Preliminaries and Data types Video
  2. Lecture 02: Loops and Conditionals Implementation of bubble sort Video
  3. Lecture 03: Commonly used Functions Video
  4. Lecture 04: Matrix Manipulations Mohr's circle Video
  5. Lecture 05: Nonlinear algebraic equations - Visualizing convergence Video
  6. Lecture 06: Nonlinear algebraic equations - system of equation and Newton's basin of attraction Video
  7. Lecture 07: Overview of Jupyterlab, Octave GUI, Spyder GUI Video
  8. Lecture 08: Interactivity with Python - Ipywidgets Video
  9. Lecture 09: Geometric Interpretations of ODEs Video
  10. Lecture 10: Bifurcations: Saddle node bifurcation Video
  11. Lecture 11: Bifurcation: Transcritical bifurcation Video
  12. Lecture 12: Bifurcation: Pitchfork bifurcation Video
  13. Lecture 13: Imperfect bifurcations and catastrophies Video
  14. Lecture 14: 2D flows - linear systems Video
  15. Lecture 15: 2D flows - Trajectories: spirals, star and degeneracy Video
  16. Lecture 16: Phase portraits - nonlinear systems Video
  17. Lecture 17: 2D phase portraits - limit cycles Video
  18. Lecture 18: Bifurcations and 3D flows Video
  19. Lecture 19: 1D Maps Video
  20. Lecture 20: Probability density functions and sampling Video
  21. Lecture 21: Monte-carlo simulations: Darts and Buffon's needle Video
  22. Lecture 22: 1D Random walks Video
  23. Lecture 23: 2D Random walks Video
  24. Lecture 24: Boundary Value Problems Video
  25. Lecture 25: Boundary Value Problems - p2 Video
  26. Lecture 26: Regular Perturbation for ODE Video
  27. Lecture 27: Singular Perturbation for ODE Video
  28. Lecture 28: 2D Boundary Values Problems Video
  29. Lecture 29: PETSc and MPI basics Video
  30. Lecture 30: PETSc - Creating Vectors and Matrices Video
  31. Lecture 31: KSP object and solving a system Video
  32. Lecture 32: Poisson equation in PETSc Video
  33. Lecture 33: Nonlinear Solver of PETSc Video
  34. Lecture 34: Nonlinear solver with Jacobian in PETSc Video
  35. Lecture 35: Reaction-diffusion system in PETSc Video
  36. Lecture 36: Time stepping in PETSc Video
  37. Lecture 37: Heat transport using PETSc Video
  38. Lecture 38: Solving nonlinear PDE on a periodic domain yielding different patterns Video
  39. Lecture 39: Audio analysis - Determine motor RPM Video
  40. Lecture 40: Spectrogram and Doppler shift Video
  41. Lecture 41: Image processing - Preliminaries Video
  42. Lecture 42: Balloon problem and viscous fingers Video
  43. Lecture 43: Analyzing data files and 2D interpolation Video
  44. Live Session 12-02-2021 Video
  45. Live Session 08-03-2021 Video
  46. Live Session 19-03-2022 Video