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Configurable ODE/PDE solver

eom 최신버젼 다운로드

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// repository documentation

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Equation of Motions
====================
[![Crate](https://img.shields.io/crates/v/eom.svg)](https://crates.io/crates/eom)
[![docs.rs](https://docs.rs/eom/badge.svg)](https://docs.rs/eom)
[![master](https://img.shields.io/badge/docs-master-blue)](https://termoshtt.github.io/eom/eom/index.html)
[![DOI](https://zenodo.org/badge/68349467.svg)](https://zenodo.org/badge/latestdoi/68349467)

Configurable ODE/PDE solver

Contents
---------
- Algorithms
  - explicit schemes
    - Euler
    - Heun
    - classical 4th order Runge-Kutta
  - semi-implicit schemes
    - stiff RK4
- ODE
  - [Lorenz three-variables system](https://en.wikipedia.org/wiki/Lorenz_system)
  - [Lorenz 96 system](https://en.wikipedia.org/wiki/Lorenz_96_model)
  - [Roessler system](https://en.wikipedia.org/wiki/R%C3%B6ssler_attractor)
  - GOY shell model
    - [notebook](GOY.ipynb)
- PDE
  - Kuramoto-Sivashinsky equation
    - [notebook](KSE.ipynb)
  - Swift-Hohenberg equation
    - [notebook](SHE.ipynb)

Lyapunov analysis
-----------------
- [Lyapunov expoents of Lorenz 63 model](http://sprott.physics.wisc.edu/chaos/lorenzle.htm)
  - [example](examples/lyapunov.rs)
- [Covarient Lyapunov vector (CLV)](https://arxiv.org/abs/1212.3961)
  - [example](examples/clv.rs) 
  - [notebook](CLV.ipynb)

Gallery
--------

### Lorenz '63 model
![Lorenz63](https://raw.githubusercontent.com/termoshtt/eom/master/lorenz63.png)

### Kuramoto-Sivashinsky equation
![KSE](https://raw.githubusercontent.com/termoshtt/eom/master/kse.png)

### Swift-Hohenberg equation
![SHE](https://raw.githubusercontent.com/termoshtt/eom/master/she.png)

License
-------
MIT-License, see [LICENSE](LICENSE) file.

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