PositiveIntegrators.jl: A Julia library of positivity-preserving time integration methods

We introduce PositiveIntegrators.jl, a Julia package that provides efficient implementations of various time integration schemes for the solution of positive ordinary differential equations, making these methods accessible for users and comparable for researchers.Currently, the package provides the unconditionally positivity-preserving MPRK, SSP-MPRK, and MPDeC schemes, which are also conservative when applied to a conservative system.The package is fully compatible with DifferentialEquations.jl, which allows a direct comparison between the provided schemes and standard methods.

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Publication Details

Journal
The Journal of Open Source Software
Published
2025-05-31
DOI
https://doi.org/10.21105/joss.08130
Primary Topic
Numerical methods for differential equations
Type
article
Field-Weighted Citation Impact
0.00

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article

PositiveIntegrators.jl: A Julia library of positivity-preserving time integration methods

Stefan Kopecz, Hendrik Ranocha, Joshua Lampert
The Journal of Open Source Software
Numerical methods for differential equations
article

PositiveIntegrators.jl: A Julia library of positivity-preserving time integration methods

Stefan Kopecz, Hendrik Ranocha, Joshua Lampert
article en

Abstract

We introduce PositiveIntegrators.jl, a Julia package that provides efficient implementations of various time integration schemes for the solution of positive ordinary differential equations, making these methods accessible for users and comparable for researchers.Currently, the package provides the unconditionally positivity-preserving MPRK, SSP-MPRK, and MPDeC schemes, which are also conservative when applied to a conservative system.The package is fully compatible with DifferentialEquations.jl, which allows a direct comparison between the provided schemes and standard methods.

The Journal of Open Source SoftwareVol. 10(109)
University of Kassel (DE), Universität Hamburg (DE), Johannes Gutenberg University Mainz (DE)
Deutsche Forschungsgemeinschaft, Daimler und Benz Stiftung
Reduced inequalities
Openalex Percentile: Top 82%
Numerical methods for differential equations
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