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We present BSeries.jl, a Julia package for the computation and manipulation of B-series, which are a versatile theoretical tool for understanding and designing discretizations of differential equations. We give a short introduction to the…

Numerical Analysis · Mathematics 2022-12-06 David I. Ketcheson , Hendrik Ranocha

Sequential sampling models (SSMs) are a widely used framework describing decision-making as a stochastic, dynamic process of evidence accumulation. SSMs popularity across cognitive science has driven the development of various software…

Mathematical Software · Computer Science 2025-12-17 Kianté Fernandez , Dominique Makowski , Christopher Fisher

Biological systems with intertwined feedback loops pose a challenge to mathematical modeling efforts. Moreover, rare events, such as mutation and extinction, complicate system dynamics. Stochastic simulation algorithms are useful in…

Quantitative Methods · Quantitative Biology 2018-12-10 Alfonso Landeros , Timothy Stutz , Kevin L. Keys , Alexander Alekseyenko , Janet S. Sinsheimer , Kenneth Lange , Mary Sehl

Motivation: Estimating model parameters from experimental observations is one of the key challenges in systems biology and can be computationally very expensive. While the Julia programming language was recently developed as a high-level…

Quantitative Methods · Quantitative Biology 2020-11-06 Paul F. Lang , Sungho Shin , Victor M. Zavala

PowerDynamics.jl is a Julia package for time-domain modeling of power grids that is specifically designed for the stability analysis of systems with high shares of renewable energies. It makes use of Julia's state-of-the-art differential…

Systems and Control · Electrical Eng. & Systems 2021-12-15 Anton Plietzsch , Raphael Kogler , Sabine Auer , Julia Merino , Asier Gil-de-Muro , Jan Liße , Christina Vogel , Frank Hellmann

StateSpaceModels.jl is an open-source Julia package for modeling, forecasting and simulating time series in a state-space framework. The package represents a straightforward tool that can be useful for a wide range of applications that deal…

Computation · Statistics 2020-02-11 Raphael Saavedra , Guilherme Bodin , Mario Souto

We present QuantumToolbox$.$jl, an open-source Julia package for simulating open quantum systems. Designed with a syntax familiar to users of QuTiP (Quantum Toolbox in Python), it harnesses Julia's high-performance ecosystem to deliver fast…

Quantum Physics · Physics 2025-10-06 Alberto Mercurio , Yi-Te Huang , Li-Xun Cai , Yueh-Nan Chen , Vincenzo Savona , Franco Nori

Accurate and efficient methods to simulate nonadiabatic and quantum nuclear effects in high-dimensional and dissipative systems are crucial for the prediction of chemical dynamics in condensed phase. To facilitate effective development,…

Thermodynamic models are often vital when characterising complex systems, particularly natural gas, electrolyte, polymer, pharmaceutical and biological systems. However, their implementations have historically been abstruse and cumbersome,…

Computational Physics · Physics 2025-06-26 Pierre J. Walker , Hon-Wa Yew , Andrés Riedemann

MomentClosure.jl is a Julia package providing automated derivation of the time-evolution equations of the moments of molecule numbers for virtually any chemical reaction network using a wide range of moment closure approximations. It…

Molecular Networks · Quantitative Biology 2021-05-13 Augustinas Sukys , Ramon Grima

Microstructure.jl is a Julia package designed for probabilistic estimation of tissue microstructural parameters from diffusion or combined diffusion-relaxometry MRI data. It provides a flexible and extensible framework for defining…

Medical Physics · Physics 2025-05-01 Ting Gong , Anastasia Yendiki

Scorio.jl is a Julia package for evaluating and ranking systems from repeated responses to shared tasks. It provides a common tensor-based interface for direct score-based, pairwise, psychometric, voting, graph, and listwise methods, so the…

Mathematical Software · Computer Science 2026-03-17 Mohsen Hariri , Michael Hinczewski , Vipin Chaudhary

Summary: The Systems Biology Markup Language (SBML) is an extensible standard format for exchanging biochemical models. One of the extensions for SBML is the SBML Layout and Render package. This allows modelers to describe a biochemical…

Quantitative Methods · Quantitative Biology 2022-11-16 Jin Xu , Jessie Jiang , Herbert M. Sauro

Satisfiability modulo theories (SMT) is a core tool in formal verification. While the SMT-LIB specification language can be used to interact with theorem proving software, a high-level interface allows for faster and easier specifications…

Logic in Computer Science · Computer Science 2024-12-05 Emiko Soroka , Mykel J. Kochenderfer , Sanjay Lall

PowerSimulations.jl is a Julia-based BSD-licensed power system operations simulation tool developed as a flexible and open source software for quasi-static power systems simulations including Production Cost Models. PowerSimulations.jl…

Systems and Control · Electrical Eng. & Systems 2024-04-05 Jose Daniel Lara , Clayton Barrows , Daniel Thom , Sourabh Dalvi , Duncan S. Callaway , Dheepak Krishnamurthy

AnyMOD.jl is a Julia framework for creating large-scale energy system models with multiple periods of capacity expansion. It applies a novel graphbased approach that was developed to address the challenges in modeling high levels of…

Physics and Society · Physics 2022-12-21 Leonard Göke

PowerDynamics.jl is an Open-Source library for dynamic power grid modeling built in the latest scientific programming language, Julia. It provides all the tools necessary to analyze the dynamical stability of power grids with high share of…

Systems and Control · Electrical Eng. & Systems 2020-12-10 Tim Kittel , Sabine Auer , Christina Horn

In this paper we present the development of an open-source simulation toolbox, PowerSimulationsDynamics.jl, to study the dynamic response of power systems, focusing on the requirements to model systems with high penetrations of…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Jose Daniel Lara , Rodrigo Henriquez-Auba , Matthew Bossart , Duncan S. Callaway , Clayton Barrows

TensorKit.jl is a Julia-based software package for tensor computations, especially focusing on tensors with internal symmetries. This paper introduces the design philosophy, core functionalities, and distinctive features, including how to…

Mathematical Software · Computer Science 2025-08-15 Lukas Devos , Jutho Haegeman

NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining…

Mathematical Software · Computer Science 2021-07-02 Michael Lindner , Lucas Lincoln , Fenja Drauschke , Julia Monika Koulen , Hans Würfel , Anton Plietzsch , Frank Hellmann
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