https://github.com/davxy/numeric
Numerical Analysis algorithms in Python and Octave
https://github.com/davxy/numeric
differentiation factorization integration interpolation linear-algebra matlab numerical-analysis numerical-methods octave python
Last synced: 6 months ago
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Numerical Analysis algorithms in Python and Octave
- Host: GitHub
- URL: https://github.com/davxy/numeric
- Owner: davxy
- License: unlicense
- Created: 2019-03-20T18:59:14.000Z (over 6 years ago)
- Default Branch: master
- Last Pushed: 2023-06-04T10:17:57.000Z (over 2 years ago)
- Last Synced: 2025-04-04T15:43:22.715Z (6 months ago)
- Topics: differentiation, factorization, integration, interpolation, linear-algebra, matlab, numerical-analysis, numerical-methods, octave, python
- Language: Python
- Homepage:
- Size: 105 KB
- Stars: 3
- Watchers: 0
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
Numerical Analysis
==================
Companion [book](https://datawok.net/posts/numerical-analysis)
Algorithms
----------
### Finite Arithmetic
- Machine precision computation
- Numerical cancellation example
### Equation Roots
- Bisection method
- Newton-Raphson method
- Newton-Raphson with Aitken acceleration
- Quasi-Newton Chords method
- Quasi-Newton Secant method
### Linear Algebra
- Reduced Row Echelon Form
- Diagonal systems
- Triangular systems
- LU factorization
- PA=LU factorization
- LL' Cholesky factorization
### Polynomial Interpolation
- Lagrange interpolation polynomial
- Chebyshev nodes
- Divided differences
- Lebesgue function and constant grow
- Runge test
- Polynomial interpolation application: Toom-3 multiplication
- Cubic spline
### Numerical differentiation
- Forward Finite differences (FFD)
- Symmetric differential quotient (SDQ)
- Condition number experiment: h threshold
### Numerical integration
- Composite trapezoid method
- Composite Simpson's method
- Adaptive methods
- Romberg method
### Misc
- Vandermonde matrix conditioning number graph
Dependencies
------------
### Python
- Python3
- NumPy (http://numpy.org)
- Matplotlib (https://matplotlib.org/)
Python3 and package manager system-wide installation
$ sudo apt install python3 pip3
Python3 packages installation (user only)
$ pip3 install numpy matplotlib
### Octave
All in one octave package installation
$ sudo apt install octave