This is a suite for numerically solving differential equations written in Julia and available for use in Julia, Python, and R. The purpose of this package is to supply efficient Julia implementations of solvers for various differential equations. Equations within the realm of this package include:
The well-optimized DifferentialEquations solvers benchmark as the some of the fastest implementations, using classic algorithms and ones from recent research which routinely outperform the "standard" C/Fortran methods, and include algorithms optimized for high-precision and HPC applications. At the same time, it wraps the classic C/Fortran methods, making it easy to switch over to them whenever necessary. Solving differential equations with different methods from different languages and packages can be done by changing one line of code, allowing for easy benchmarking to ensure you are using the fastest method possible.
DifferentialEquations.jl integrates with the Julia package sphere with:
Additionally, DifferentialEquations.jl comes with built-in analysis features, including:
This gives a powerful mixture of speed and productivity features to help you solve and analyze your differential equations faster.
All of the algorithms are thoroughly tested to ensure accuracy via convergence tests. The algorithms are continuously tested to show correctness. IJulia tutorial notebooks can be found at DiffEqTutorials.jl. Benchmarks can be found at DiffEqBenchmarks.jl. If you find any equation where there seems to be an error, please open an issue.
If you have any questions, or just want to chat about solvers/using the package, please feel free to chat in the Gitter channel. For bug reports, feature requests, etc., please submit an issue. If you're interested in contributing, please see the Developer Documentation.
The software in this ecosystem was developed as part of academic research. If you would like to help support it, please star the repository, as such metrics may help us secure funding in the future. If you use SciML software as part of your research, teaching, or other activities, we would be grateful if you could cite our work. Please see our citation page for guidelines.
about 19 hours ago