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<img src="./assets/logo.svg" width="1000" alt="differential-equations">
</p>
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<a href="https://crates.io/crates/differential-equations">
<img src="https://img.shields.io/crates/v/differential-equations.svg?style=flat-square" alt="crates.io">
</a>
<a href="https://docs.rs/differential-equations">
<img src="https://docs.rs/differential-equations/badge.svg" alt="docs.rs">
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<strong>
<a href="./docs/README.md">Documentation</a> |
<a href="./examples/ode/01_exponential_growth/main.rs">Examples</a> |
<a href="https://github.com/Ryan-D-Gast/differential-equations"
>GitHub</a> |
<a href="https://docs.rs/differential-equations/latest/differential_equations/">Docs.rs</a> |
<a href="https://crates.io/crates/differential-equations">Crates.io</a>
</strong>
</p>
-----
<p align="center">
<b>A high-performance library for numerically solving differential equations</b><br>
<i>for the Rust programming language.</i>
</p>
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A high-performance library for solving differential equations in Rust, including:
- **[Ordinary Differential Equations (ODEs)](./docs/ode/introduction.md)** - Fixed-step and adaptive [solvers](./docs/ode/introduction.md/#solvers) with comprehensive features including event detection, dense output, and customizable and common recipes for solution output.
- **Initial Value Problems (ODEProblem)** - Solve problems with known initial conditions
- **[Stochastic Differential Equations (SDEs)](./docs/sde/introduction.md)** - Includes solvers such as Euler-Maruyama, Milstein, and Runge-Kutta methods for stochastic differential equations.
- **Initial Value Problems (SDEProblem)** - Solve problems with known initial conditions
- **Customizable Noise** - User implements noise in SDE implementation
## Contributing
This library is looking for contributions to bring the future of scientific computing to Rust!
Please see [CONTRIBUTING.md](./CONTRIBUTING.md) for more information on how to contribute to this project.