NMV lab: A place to explore various aspects of Numerical Methods
Videos as per specific Numerical Method
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1. Roots of Equation Basic
Analytical method to find roots and necessity of numerical methods to find root of equation.
2. Roots of Equation by Bisection method
Graphical representation of bisection method, numerical on bisection method
3. Algorithm and flowchart for Bisection method
Algorithm and flowchart for Bisection method
4. MATLAB Program Bisection method
Bisection method iteration criteria
5. MATLAB Program Bisection method
Bisection method accuracy criteria
6. Linear Programing Problem-1(LPP): Formulation of LPP
Formulation of LPP numerical-1
7. Linear Programming Problem-2(LPP): Formulation of LPP
Formulation of LPP numerical-2
8. Linear Programming (Max.) Problem(LPP): Graphical Method to Solve LPP
Graphical Method to Solve LPP, numerical on maximization objective LPP
9. Linear Programing (Min.) Problem(LPP): Graphical Method to Solve LPP
Graphical Method to Solve LPP, numerical on minimization objective LPP
10. Linear Programming (Max.) Problem(LPP): Simplex Method
Simplex method to solve LPP, numerical on maximization LPP
11. Linear Programming (Min.) Problem(LPP): Simplex Method (Big M Method)
Big M Method to solve LPP, numerical on minimization LPP
12. Linear Programming Problem(LPP): Simplex Method
Flowchart of Simplex Algorithm
13. Linear Programming Problem(LPP): Degeneracy case in LPP
Perturbation method to select key row when there is tie in selection of key row
14. Curve Fitting: Least Square Method (LSM)
Derivation of least square method, Generalized formula for linear, quadratic and multi-variable linear regression
15. Curve Fitting: Least Square Method (LSM)
Types of curves, numerical on linear and quadratic curve fitting
16. Curve Fitting: Least Square Method (LSM)
Problems on power and exponential curve fitting
17. Interpolation
Newton's Forward Difference (NFD) Interpolation, numerical on interpolation by N FD method
18. Interpolation
Lagrange's Interpolation Method, numericals on interpolation and inverse interpolation by Lagrange's method
19. Numerical Integration: Newton-Cotes
Basics of numerical integration, derivation of Newton-Cotes formula and formulations of Trapezoidal rule, Simpson's 1/3 rule and Simpson's 3/8 rule
20. Numerical Integration: Newton-Cotes
Numericals on Trapezoidal rule, Simpson's 1/3 rule and Simpson's 3/8 rule
21. Numerical Integration: Gaussian Integration
Derivation for Gaussian Integration, Gauss-Quadrature 2-Point formula, Gauss-Quadrature3-Point formula
22. Numerical Integration: Gaussian Integration
Numericals on Gaussian integration (Gauss-Quadrature 2 point and 3 point method)
23. Numerical Integration: Double integration
Double integration numerical by Newton-Cotes methods (Trapezoidal rule and Simpson's 1/3 rule)
24. MATLAB Solvers
MATLAB solvers for different numerical methods
25. MATLAB Program
Algorithm, Flowchart and MATLAB program for Gauss-Quadrature 2 point and 3 point method
26. MATLAB mobile application
MATLAB mobile application Installation procedure, MATLAB coding and its execution.
27. Solution of Linear Simultaneous Equations
Introduction to solution of linear simultaneous equations, analytical method, graphical method, Cramer’s rule, necessity of numerical methods
28. Solution of Linear Simultaneous Equations
Gauss Elimination Method
29. Solution of Linear Simultaneous Equations
Limitations of Gauss elimination method, necessity of partial pivoting in Gauss Elimination method
30. Solution of Linear Simultaneous Equations
Numericals on Gauss elimination with partial pivoting method
31. Solution of Linear Simultaneous Equations
Tri-diagonal matrix algorithm (TDMA)
32. Solution of Linear Simultaneous Equations
Jacobi iteration method
33. Solution of Linear Simultaneous Equations
Gauss-Seidal method
34. Solution Partial Differential Equations
Finite difference approximation, numerical solution of Laplace PDE and 1-D heat conduction equation.
35. Solution Partial Differential Equations
Algorithm, FLowchart and MATLAB program for solution of Laplace equation