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Numerical Analysis II - Assignment

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

_multistep

8) PDE

-Poisson Equation

-Finite Differences Method

-Finite Elements Method

- Heat Equations

Skills: Algorithm, Mathematics, Matlab and Mathematica, Technical Writing

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Project ID: #1577812

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