Project description

num_solvers

A library for some basic numerical solvers.

Why another numerical solver library?

The library is the product of my PhD coursework for Advance Numerical Techniques by Dr. Umair at Institute of Space Technology, Pakistan, Islamabad and is not intended to replace any existing numerical solving packages. This is for educational purpose only.

Most of the modules included in this library have been implemented efficiently in the mainstream packages like **NumPy **, SciPy, and more. The users are encouraged to use those packages for their daily tasks.

What's in this library?

This library includes implementations of,

Integrators
- Newton-Cotes integrators
  - Trapezoidal rule
  - Simpson 1/3 rule
  - Simpson 3/8 rule
  - Boole's rule
  - Weddle 3/10 rule
  - Weddle 41/140 rule
Interpolation methods
- Newton interpolation method
  - Forward interpolation
  - Backward interpolation
  - Divided difference interpolation
- Lagrange's interpolation method
- Spline interpolation
  - Linear spline
  - Quadratic spline
  - Natural cubic spline
Iterative solvers
- ODE solvers
  - Runge-Kutta solvers
- System of equation solvers
  - Gauss-Jacobi solver
  - Gauss-Seidel solver
  - Predictor-corrector solver
- Function root
  - Bisection method
  - False position method
  - Generalized secant method
  - Muller method
  - Newton-Raphson method
  - Ridder method
  - Sidi method
  - Steffensen method
- Polynomial root
  - Laguerre method
Matrix decomposition methods
- Cholesky decomposition
- Extra
- Gauss elimination
- Given's rotation
- Householder method
  - Householder reduction
  - Householder QR decomposition
- LU decomposition
  - LU Crout
  - LU Doolittle
- QR decomposition
- Rayleigh quotient method
- Steepest descent method
  - Steepest descent
  - Modified steepest descent
- Singular value decomposition

Project details

These details have not been verified by PyPI

Project links

Homepage

Release history Release notifications | RSS feed

This version

0.1.0

Nov 20, 2024

Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Source Distribution

num_solvers-0.1.0.tar.gz (38.7 kB view details)

Uploaded Nov 20, 2024 Source

Built Distribution

num_solvers-0.1.0-py3-none-any.whl (54.9 kB view details)

Uploaded Nov 20, 2024 Python 3

File details

Details for the file num_solvers-0.1.0.tar.gz.

File metadata

Download URL: num_solvers-0.1.0.tar.gz
Upload date: Nov 20, 2024
Size: 38.7 kB
Tags: Source
Uploaded using Trusted Publishing? No
Uploaded via: twine/5.1.1 CPython/3.9.20

File hashes

Hashes for num_solvers-0.1.0.tar.gz
Algorithm	Hash digest
SHA256	`70958d4d78b3e0c1f866a36c6caf58dfe2986928681d5108d3b3a6f9c9b6cbbd`
MD5	`9ce5bcd5a856194e9d000df6234614c7`
BLAKE2b-256	`b31b1ad7377f056c7ab3eae81abe2b90e5a27b91a603456fa8dc486cc957c134`

See more details on using hashes here.

File details

Details for the file num_solvers-0.1.0-py3-none-any.whl.

File metadata

Download URL: num_solvers-0.1.0-py3-none-any.whl
Upload date: Nov 20, 2024
Size: 54.9 kB
Tags: Python 3
Uploaded using Trusted Publishing? No
Uploaded via: twine/5.1.1 CPython/3.9.20

File hashes

Hashes for num_solvers-0.1.0-py3-none-any.whl
Algorithm	Hash digest
SHA256	`27a42645845b1029eae25d3c127c6ea2a1fd7bbde1733da10d495d44b51ad2aa`
MD5	`f8b9070260396c3386d16c2ae34ddd35`
BLAKE2b-256	`639054280dcdbfb175a98de88f8dc7999f65034e485ee6debb903137c3ac1d9e`