1) Numerical Methods for calculation of eigenvalues and eigenvectors:
● Power Method - Numerical Method: Eigen Value and vector calculation by Power Method.
● Inverse Shifted Method - Inverse Power Method (Numerical Analysis)
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Extra:
Inverse Power Method -
Making the System of equations diagonally dominant
2) Numerical Solution to Differential Equations:
Note: You can directly use formulas from the formula sheet to solve these.
● Euler’s Method - 5. Euler's Method | Concept & Problem#1 | Numerical Solution of Ordinary
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Differential Equations
Heunn’s Method - Improved Euler's Method
RK-Methods - 8. Runge-Kutta Method of Second Order | Concept & Problem#1 |
Numerical Analysis | Numerical Methods
9. Runge-Kutta Method of Fourth Order | Concept & Problem#1 | Numerical Analysis |
Numerical Methods
3) Numerical Solution of Linear Systems
● Gauss Elimination Method-1. Gauss Elimination Method | Working Rule & Problem#1 |
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Complete Concept | Numerical Methods
Gauss Operation/LU Decomposition Count - Gauss Elimination Method or LU Decomposition (3
of 3) Operational Count in Urdu|Hindi
Partial Pivoting - Partial Pivoting Method | Gauss Elimination Method with Partial Pivoting
Scaled Pivoting - Scaled Partial Pivoting, total pivoting(till 7:25)
LU-Decomposition(Cholesky, Doolittle, Crout’s)
26. LU decomposition method - Doolittle's Method, Crout's Factorization Method,
Cholesky's Method
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Jacobi, Gauss Seidel, Relaxation Iterative Schemes + Some necessary and Sufficient conditions for
convergence (Book: Burden and Faires)
Jacobi method | Iterative method | Solution of Linear System Equation
Gauss Seidel Method | Iterative Method | Numerical Methods | Problems
relaxation method || relaxation method math || Bsc math || numerical analysis ||
relaxation tips
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Conjugate Gradient Method
4) Numerical differentiation and integration
For Integration methods refer to links in Numerical Final
● Bisection - Bisection method | solution of non linear algebraic equation
● Regula Falsi - Regula falsi method in 5 minutes
● Fixed Point Iteration - Fixed Point Iteration Method Solved example - Numerical Analysis
● Newton Raphson - Newton Raphson Solved Example - Numerical Analysis
● Secant - Secant Method in Urdu with Example - Numerical Analysis
● Aitken - Aitken's Method ( del- square process ) with example.
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Horner’s Method - Horner's Method Of Synthetic Division | Horner's Method In The
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Numerical Method By Dr. Vineeta Negi
Halley’s Method - Halley’s Method Example | Group 7(Reduce Speed)