. CHAPTER 1: Solving System of Equations
- Gaussian elimination:https://www.youtube.com/watch?v=k-Z3u36VFmU
- Jacobi method: https://www.youtube.com/watch?v=GzqR07kRN1U
- Gauss-Seidel method: https://www.youtube.com/watch?v=buIb7DWT2Gs . CHAPTER 2: Solving non-linear equations
- Bisection method: https://www.youtube.com/watch?v=Kk3H3o8rb4Y&t
- Newton's method: https://www.youtube.com/watch?v=LkSgVdCif90&t
- Secant method: https://www.youtube.com/watch?v=_UldByPilXc&t
- Fixed-point iteration: https://www.youtube.com/watch?v=VdTl3Rlio9g&t . CHAPTER 3: Numerical Interpolation
- Newton's Divided Difference: https://www.youtube.com/watch?v=NCxqXBv5FfY&t
- Neville interpolation:https://www.youtube.com/watch?v=Q2_6jlneXeY&t
- Hermite interpolation:https://www.youtube.com/watch?v=fDbPBArjYCk&t
- Cubic spline (natural):https://www.youtube.com/watch?v=SXujVMd8KLE&t . CHAPTER 4: Numerical Integration
- Trapezoid rule: https://www.youtube.com/watch?v=QSHkg7ZPLNs
- Simpson's rule: https://www.youtube.com/watch?v=NXBqq9DZefw&t
- Romberg integration: https://www.youtube.com/watch?v=9WAuRUJ-XX4
- Adaptive quadrature: https://www.youtube.com/watch?v=F1FMxXhKvMg&t
- Gaussian quadrature: https://www.youtube.com/watch?v=6VF57yEzxdw . CHAPTER 5: Finding eigenvalue and eigenvector 1.Power method: https://www.youtube.com/watch?v=DapdMQesiyc&t . CHAPTER 6: Solving ODE 1.Euler's method: https://www.youtube.com/watch?v=3QqRliNdLLw
- Runge-Kutta method (Order 4): https://www.youtube.com/watch?v=0_YxBUleAQk 3.Runge-Kutta-Fehlberg method:https://www.youtube.com/watch?v=AJiU2VaRFWg
- Predictor-Corrector method: https://www.youtube.com/watch?v=3hLTo1Cwfjk&t . CHAPTER 7: Solving PDE 1.Linear shooting method:https://www.youtube.com/watch?v=nswD09LmLU4&t
- Finite difference method:https://www.youtube.com/watch?v=cWcMLjCpAO4&t Chapter 8: For FUN: Drawing love symbol using MatLab: https://www.youtube.com/watch?v=FdwPljbZjPg&t