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Rimu.jl is a Julia package for solving many-body quantum problems. The core of the package is a matrix-free implementation of Hamiltonians and other operators and compact representation of Fock states, which together allow for efficient…

Computational Physics · Physics 2026-01-28 Matija Čufar , C. J. Bradly , Ray Yang , Elke Pahl , Joachim Brand

We present FrankWolfe.jl, an open-source implementation of several popular Frank-Wolfe and Conditional Gradients variants for first-order constrained optimization. The package is designed with flexibility and high-performance in mind,…

Optimization and Control · Mathematics 2021-10-06 Mathieu Besançon , Alejandro Carderera , Sebastian Pokutta

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

We introduce ACEpotentials.jl, a Julia-language software package that constructs interatomic potentials from quantum mechanical reference data using the Atomic Cluster Expansion (Drautz, 2019). As the latter provides a complete description…

This paper introduces the TulipaProfileFitting.jl package, a tool developed in Julia for generating renewable energy profiles that fit a specified capacity factor. It addresses the limitations of naive methods in adjusting existing profiles…

Optimization and Control · Mathematics 2024-08-28 Diego A. Tejada-Arango , Germán Morales-España , Abel S. Siqueira , Özge Özdemir

The `equation-free toolbox' empowers the computer-assisted analysis of complex, multiscale systems. Its aim is to enable you to immediately use microscopic simulators to perform macro-scale system level tasks and analysis, because…

Mathematical Software · Computer Science 2020-04-08 John Maclean , J. E. Bunder , A. J. Roberts

The integration of converter-interfaced generation (CIG) from renewable energy sources poses challenges to the stability and transient behavior of electric power systems. Understanding the dynamic behavior of low-inertia power systems is…

Systems and Control · Electrical Eng. & Systems 2020-03-09 Rodrigo Henriquez-Auba , Jose D. Lara , Ciaran Roberts , Nathan Pallo , Duncan S. Callaway

HarmonicBalance.jl is a publicly available Julia package designed to simplify and solve systems of periodic time-dependent nonlinear ordinary differential equations. Time dependence of the system parameters is treated with the harmonic…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jan Košata , Javier del Pino , Toni L. Heugel , Oded Zilberberg

Machine learning has achieved dramatic success over the past decade, with applications ranging from face recognition to natural language processing. Meanwhile, rapid progress has been made in the field of quantum computation including…

Quantum Physics · Physics 2022-08-17 Weikang Li , Zhide Lu , Dong-Ling Deng

We present IncompressibleNavierStokes.jl, an open-source Julia package for solving the incompressible Navier--Stokes equations on staggered Cartesian grids. The package features matrix-free, hardware-agnostic kernels that are compiled from…

Numerical Analysis · Mathematics 2026-04-21 Syver Døving Agdestein , Benjamin Sanderse

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

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

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

Generalized sampling is a numerically stable framework for obtaining reconstructions of signals in different bases and frames from their samples. In this paper, we will introduce a carefully documented toolbox for performing generalized…

Mathematical Software · Computer Science 2016-11-24 Robert Dahl Jacobsen , Morten Nielsen , Morten Grud Rasmussen

We introduce JuliVQC: a light-weight, yet extremely efficient variational quantum circuit simulator. JuliVQC is part of an effort for classical simulation of the \textit{Zuchongzhi} quantum processors, where it is extensively used to…

Quantum Physics · Physics 2024-06-28 Wei-You Liao , Xiang Wang , Xiao-Yue Xu , Chen Ding , Shuo Zhang , He-Liang Huang , Chu Guo

In this article, we present TornadoQSim, an open-source quantum circuit simulation framework implemented in Java. The proposed framework has been designed to be modular and easily expandable for accommodating different user-defined…

We present the MPS-JuliQAOA simulator, a user-friendly, open-source tool to simulate the Quantum Approximate Optimization Algorithm (QAOA) of any optimization problem that can be expressed as diagonal Hamiltonian. By leveraging…

Quantum Physics · Physics 2025-08-11 Sean Feeney , Reuben Tate , John Golden , Stephan Eidenbenz

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

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

A full quantum mechanical treatment of open quantum systems via a Master equation is often limited by the size of the underlying Hilbert space. As an alternative, the dynamics can also be formulated in terms of systems of coupled…

Quantum Physics · Physics 2022-01-05 David Plankensteiner , Christoph Hotter , Helmut Ritsch