https://github.com/termoshtt/eom

Configurable ODE/PDE solver
https://github.com/termoshtt/eom

dynamical-systems lyapunov ode-solver pde-solver rust-ndarray

Last synced: about 23 hours ago
JSON representation

Configurable ODE/PDE solver

• Host: GitHub
• URL: https://github.com/termoshtt/eom
• Owner: termoshtt
• License: mit
• Created: 2016-09-16T03:18:24.000Z (about 8 years ago)
• Default Branch: master
• Last Pushed: 2023-05-20T09:32:18.000Z (over 1 year ago)
• Last Synced: 2024-11-07T01:39:49.298Z (4 days ago)
• Topics: dynamical-systems, lyapunov, ode-solver, pde-solver, rust-ndarray
• Language: Rust
• Homepage:
• Size: 2.32 MB
• Stars: 58
• Watchers: 6
• Forks: 8
• Open Issues: 6
• Metadata Files:
  • Readme: README.md
  • Funding: .github/FUNDING.yml
  • License: LICENSE

Awesome Lists containing this project

README

        
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](lorenz63.png)

### Kuramoto-Sivashinsky equation

![KSE](kse.png)

### Swift-Hohenberg equation

![SHE](she.png)

License

-------

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