PositiveIntegrators.jl

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PositiveIntegrators.jl

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A Julia library of positivity-preserving time integration methods

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# PositiveIntegrators.jl

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Over the last two decades several approaches have been suggested to numerically
preserve the positivity of positive ordinary differential equation (ODE) systems.
This [Julia](https://julialang.org) package provides efficient implementations
of various positive time integration schemes, allowing a fair comparison of the
different schemes. The package extends [OrdinaryDiffEq.jl](https://github.com/SciML/OrdinaryDiffEq.jl)
by
* adding a new problem type for production-destruction systems
* adding the algorithms of positivity-preserving time integration methods such as
  modified Patankar-Runge-Kutta (MPRK) schemes

Please find more information online in the
[documentation](https://NumericalMathematics.github.io/PositiveIntegrators.jl/stable).

## Installation

[PositiveIntegrators.jl](https://github.com/NumericalMathematics/PositiveIntegrators.jl)
is a registered Julia package. Thus, you can install it from the Julia REPL via
```julia
julia> using Pkg; Pkg.add("PositiveIntegrators")
```

If you want to update PositiveIntegrators.jl, you can use
```julia
julia> using Pkg; Pkg.update("PositiveIntegrators")
```

## Referencing

If you use
[PositiveIntegrators.jl](https://github.com/NumericalMathematics/PositiveIntegrators.jl)
for your research, please cite our article 
```bibtex
@article{kopecz2025positive,
  title={{PositiveIntegrators.jl}: A {J}ulia library of positivity-preserving
         time integration methods},
  author={Kopecz, Stefan and Lampert, Joshua and Ranocha, Hendrik},
  journal={Journal of Open Source Software},
  volume={10},
  number={109},
  pages={8130},
  year={2025},
  month={05},
  publisher={The Open Journal},
  doi={10.21105/joss.08130}
}
```
In addition, you can also refer to PositiveIntegrators.jl directly as
```bibtex
@misc{PositiveIntegrators.jl,
  title={{PositiveIntegrators.jl}: {A} {J}ulia library of positivity-preserving
         time integration methods},
  author={Kopecz, Stefan and Lampert, Joshua and Ranocha, Hendrik},
  year={2023},
  doi={10.5281/zenodo.10868393},
  url={https://github.com/NumericalMathematics/PositiveIntegrators.jl}
}
```

## License and contributing

This project is licensed under the MIT license
(see [License](https://github.com/NumericalMathematics/PositiveIntegrators.jl/blob/main/LICENSE)).
Since it is an open-source project, we are very happy to accept contributions
from the community. Please refer to the section
[Contributing](https://github.com/NumericalMathematics/PositiveIntegrators.jl/blob/main/CONTRIBUTING.md)
for more details.

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