| # |
Topic |
Youtube |
Notes |
Code |
| Lec00 |
Syllabus |
Video |
None |
None |
| Lec01 |
Octave Basics |
Video |
PDF |
Code |
| Lec02 |
Taylor series |
Video |
PDF |
Code |
| Lec03a |
Finite Difference |
Video |
PDF |
Code |
| Lec03b |
Derivatives by curve fitting / Numerical Partial derivatives |
Video |
PDF |
None |
| Lec04a |
Introduction to root finding |
Video |
PDF |
None |
| Lec04b |
Bisection method |
Video |
PDF |
Code |
| Lec04c |
Regular Falsi Method |
Video |
PDF |
Code |
| Lec04d |
Newton Raphson method |
Video |
PDF |
Code |
| Lec05a |
Introduction to solving linear algebraic equations |
Video |
PDF |
Code |
| Lec05b |
Gauss Elimination without pivoting |
Video |
PDF |
see above |
| Lec05c |
Gauss elimination with partial pivoting |
Video |
PDF |
see above |
| Lec05d |
Gauss Jordan Elimination |
Video |
PDF |
see above |
| Lec05e |
Gauss Jordan Elimination to compute the inverse |
Video |
PDF |
see above |
| Lec06a |
Jacobi iterative method |
Video |
PDF |
Code |
| Lec06b |
Gauss-Siedel iterative method |
Video |
PDF |
Code |
| Lec06c |
Relaxation method for solving simultaneous linear equations |
Video |
PDF |
see above |
| Lec07a |
Introduction to curve fitting |
Video |
PDF |
see above |
| Lec07b |
Polynomial fit (exact fit) |
Video |
PDF |
see above |
| Lec07c |
Lagrange Interpolation (exact fit) |
Video |
PDF |
see above |
| Lec07d |
Newton Divided Difference (exact fit) |
Video |
PDF |
see above |
| Lec07e |
Splines |
Video |
PDF |
see above |
| Lec08a |
Introduction to best fit curve |
Video |
PDF |
Code |
| Lec08b |
Linear regression (best fit) |
Video |
PDF |
see above |
| Lec08c |
Polynomial regression (best fit) |
Video |
PDF |
see above |
| Lec08d |
Linear regression of some nonlinear function (best fit) |
Video |
PDF |
see above |
| Lec09a |
Simple Numerical Integration using Rectangular / Trapezoidal Rule |
Video |
PDF |
Code |
| Lec09b |
Simple Numerical Integration with Simpsons 1/3rd and 3/8th rule |
Video |
PDF |
see above |
| Lec09c |
Integration from tabulated data |
Video |
PDF |
None |
| Lec09d |
Truncation error in Numerical Integration |
Video |
PDF |
None |
| Lec09e |
Richardson extrapolation for integration |
Video |
PDF |
None |
| Lec09f |
Romberg method for numerical integration |
Video |
PDF |
None |
| Lec10a |
Introduction to Ordinary Differential Equations |
Video |
PDF |
None |
| Lec10b |
Euler’s method to solve ODE |
Video |
PDF |
Code |
| Lec10c |
Heuns method to solve ODE |
Video |
PDF |
Code |
| Lec10d |
Runge kutta order 2 and 4 to solve ODE |
Video |
PDF |
None |
| Lec11a |
Adam Bashforth for ODE, multi-step, explicit method |
Video |
PDF |
None |
| Lec11b |
Adam Moulton method for ODEs, multistep, implicit method |
Video |
PDF |
None |
| Lec12a |
Introduction to Boundary Value Problems |
Video |
PDF |
None |
| Lec12b |
Shooting method to solve Boundary Value Problems |
Video |
PDF |
None |
| Lec12c |
Finite Difference method to solve Boundary Value Problems |
Video |
PDF |
None |
| Lec13a |
Introduction to Partial Differential Equations |
Video |
PDF |
None |
| Lec13b |
Parabolic PDE, Forward Time Central Space |
Video |
PDF |
None |
| Lec13c |
Parabolic PDE, Lassonen or Fully implicit method |
Video |
PDF |
None |
| Lec13d |
Parabolic PDE, Crank-Nicholson |
Video |
PDF |
None |
| Lec13e |
Elliptic PDE |
Video |
PDF |
None |
| Lec13f |
Hyperbolic PDE |
Video |
PDF |
None |