Numerical Analysis Examples

Note: You can implement in any language for contribute.

1 Equation Solutions

1.1 Iteration Methods

Bisection Method [ C ] [ C++ ] [ C# ] [ Python ] [ Ruby ] [ Go ] [ Haskell ] [ Racket ]
Newton Method [ C ] [ C++ ] [ C# ] [ Python ] [ Ruby ] [ Go ] [ Haskell ] [ Racket ]
Maximum Field Form [ C# ] [ Python ] [ Ruby ]
Secant Method [ C++ ] [ C# ] [ Python ] [ Ruby ] [ Go ] [ Haskell ]
Regula-Falsi Method [ C# ] [ Python ] [ Ruby ]
Fixed-Point Method

2 Polynomials and Roots

2.1 Polynomial Roots

Synthetic Division and Newton Method
Muller Method

3 Linear Equations

3.1 Numerical Solutions of Equations

Cramer Method
Gaussian Elimination Method [ C# ]
Gaussian-Jordan Method
LU Decomposition Method [ C# ]

4 Matrix Operations

4.1 Basic Matrix Operations

Addition, Subtraction, Multiplication, Transpose, Determinant [ C# ] [ Go ]

4.2 Determinant

Determinant with Gaussian-Jordan Method
Determinant with LU Decomposition Method

4.3 Matrix Inversion

Inverse Matrix with Cramer's Rule [ C# ]
Inverse Matrix with Gaussian Elimination Method [ C# ]
Inverse Matrix with LU Decomposition

5 Eigenvalues and Eigenvectors

5.1 Finding Eigenvalues Methods

Jacobian Transformation
The QR and QL Algorithms

6 Linear Curve Fitting

6.1 Least Squares Method

Example [ Python ]

6.2 Polynomial Fitting

Example

7 Nonlinear Curve Fitting

7.1 Algorithm

Example

8 Fourier Series and Fourier Transform

8.1 Fourier Series

Fourier Series Algorithm

8.2 Fourier Transform

Fourier Sine and Cosine Transformation

8.3 Numerical Fourier Transform

Discrete Fourier Transform
Fast Fourier Transform

9 Interpolation

9.1 Lagrange Polynomial Interpolation

Lagrange Interpolation Algorithm [ Haskell ] [ Python ]
Neville Interpolation Algorithm

9.2 Cubic Spline Interpolation

Cubic Spline Algorithm [ Haskell ]

9.3 Trigonometric Interpolation

Example

9.4 Extrapolation

Example

10 Derivative and Integral

10.1 Derivative

Derivative of Sequences
Point Derivative of Sequences

10.2 Numerical Integral

Integration of Series
Integration of Functions

11 Data Processing

11.1 Data Arrays and Digital Filters

Average Filter
Median Filter
Fourier Transform and Filter Windows
Savitzky Golay Filter

11.2 Spectral Decomposition

Simulation and Curve Fitting
Spectral Decomposition with Derivative
Fourier Transform and Spectral Decomposition

12 Polynomial Calculus

Example [Python]

Contributing

Fork it ( https://github.com/ergenekonyigit/Numerical-Analysis-Examples/fork )
Create your feature branch (git checkout -b my-new-feature)
Commit your changes (git commit -am 'Add some feature')
Push to the branch (git push origin my-new-feature)
Create a new Pull Request

Contributors

ergenekonyigit - creator, maintainer