Numerical Analysis II - Assignment

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$250 - $750 USD
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Project Description

There are 4 problems you need to solve. For each problem you need show how you got the solution , explain the method you use to get the solution, and include a mat lab program to the solution.

You will need to know most of the following
1) Method for solving Non-linear Equation
- Newton's Method
- Quasi - Newton
- Broyden's Method
- Fixed Point Iteration
2) Interpolation
-Polynomial,Trigonometric,chebyshev Interpolation
- Fast Fourier Transformation
3)Numerical Integration
- Trapezoid Rule / Simpson Rule
-Gaussian Quadrature
- Adaptive Quadrature
4)Data Fitting Method
- Least Squares Method
- sin x , cos x
- Exponenital Model
- Power Model
5) The Non-linear iterative Method
- Conjugate Gradient
- GMRes
- Preconditioning
6) Power,Inverse Power,shifted Inverse Power
7) ODE
-Forward/Backward Euler
-Crank Nicklson
-RUnge - Kutta
8) PDE
-Poisson Equation
-Finite Differences Method
-Finite Elements Method
- Heat Equations

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