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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

Datasets encountered in scientific and engineering applications appear in complex formats (e.g., images, multivariate time series, molecules, video, text strings, networks). Graph theory provides a unifying framework to model such datasets…

Mathematical Software · Computer Science 2025-01-09 David L Cole , Victor M Zavala

Efficiently solving nonlinear equations underpins numerous scientific and engineering disciplines, yet scaling these solutions for challenging system models remains a challenge. This paper presents NonlinearSolve.jl -- a suite of…

Marginal effects analysis is fundamental to interpreting statistical models, yet existing implementations face computational constraints that limit analysis at scale. We introduce two Julia packages that address this gap. Margins.jl…

Computation · Statistics 2026-01-13 Eric Feltham

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

InvertibleNetworks.jl is a Julia package designed for the scalable implementation of normalizing flows, a method for density estimation and sampling in high-dimensional distributions. This package excels in memory efficiency by leveraging…

Machine Learning · Computer Science 2023-12-22 Rafael Orozco , Philipp Witte , Mathias Louboutin , Ali Siahkoohi , Gabrio Rizzuti , Bas Peters , Felix J. Herrmann

Many interesting functions arising in applications map into Riemannian manifolds. We present an algorithm, using the manifold exponential and logarithm, for approximating such functions. Our approach extends approximation techniques for…

Numerical Analysis · Mathematics 2026-01-27 Simon Jacobsson , Raf Vandebril , Joeri van der Veken , Nick Vannieuwenhoven

There are plenty of excellent plotting libraries. Each excels at a different use case: one is good for printed 2D publication figures, the other at interactive 3D graphics, a third has excellent L A TEX integration or is good for creating…

We present an open source computational framework geared towards the efficient numerical investigation of open quantum systems written in the Julia programming language. Built exclusively in Julia and based on standard quantum optics…

Quantum Physics · Physics 2018-03-14 Sebastian Krämer , David Plankensteiner , Laurin Ostermann , Helmut Ritsch

The importance of computers is continually increasing in radiotherapy. Efficient algorithms, implementations and the ability to leverage advancements in computer science are crucial to improve cancer care even further and deliver the best…

Medical Physics · Physics 2024-07-08 Renato Bellotti , Antony J. Lomax , Andreas Adelmann , Jan Hrbacek

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…

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

Simulation of non-adiabatic dynamics of a quantum system coupled to dissipative environments poses significant challenges. New sophisticated methods are regularly being developed with an eye towards moving to larger systems and more…

Quantum Physics · Physics 2023-06-07 Amartya Bose

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

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

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

MLJ (Machine Learing in Julia) is an open source software package providing a common interface for interacting with machine learning models written in Julia and other languages. It provides tools and meta-algorithms for selecting, tuning,…

Machine Learning · Computer Science 2020-12-01 Anthony D. Blaom , Franz Kiraly , Thibaut Lienart , Yiannis Simillides , Diego Arenas , Sebastian J. Vollmer

TypedMatrices.jl is a Julia package to organize test matrices. By default, the package comes with a number of built-in matrices and interfaces to help users select test cases based on their properties. The package is designed to be…

Numerical Analysis · Mathematics 2025-03-17 Anzhi Zhang , Massimiliano Fasi

Proprietary closed-source software is still the norm in advanced process control. Transparency and reproducibility are key aspects of scientific research. Free and open-source toolkit can contribute to the development, sharing and…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Francis Gagnon , Alex Thivierge , André Desbiens , Fredrik Bagge Carlson

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
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