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Numerical Analysis Examples
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Numerical Analysis Implementations in Various Languages
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Project README
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
Open Source Agenda is not affiliated with "Numerical Analysis Examples" Project. README Source:
ergenekonyigit/Numerical-Analysis-Examples
Stars
376
Open Issues
0
Last Commit
1 year ago
Repository
ergenekonyigit/Numerical-Analysis-Examples
License
MIT
Tags
Examples
Numerical Analysis
Numerical Methods
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