Work

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

Year: 2025

Type: article

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.

Source: The Journal of Open Source Software

DOI: 10.21105/joss.08130

Authors: Stefan Kopecz, Joshua Lampert, Hendrik Ranocha

Institutions: University of Kassel, Universität Hamburg, Johannes Gutenberg University Mainz

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Deutsche Forschungsgemeinschaft, Daimler und Benz Stiftung

Awards: G1244266449, Effiziente, strukturerhaltende Verfahren hoher Ordnung für nichtlineare Evolutionsgleichungen, G5252384289