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FlowClass.jl is a Julia package for classifying continuous-time dynamical systems into a hierarchy of structural classes: Gradient, Gradient-like, Morse-Smale, Structurally Stable, and General. Given a vector field…

Dynamical Systems · Mathematics 2025-12-16 Michael P. H. Stumpf

Recent results have demonstrated that samplers constructed with flow-based generative models are a promising new approach for configuration generation in lattice field theory. In this paper, we present a set of training- and…

flowMC is a Python library for accelerated Markov Chain Monte Carlo (MCMC) leveraging deep generative modeling. It is built on top of the machine learning libraries JAX and Flax. At its core, flowMC uses a local sampler and a learnable…

Instrumentation and Methods for Astrophysics · Physics 2022-11-14 Kaze W. K. Wong , Marylou Gabrié , Daniel Foreman-Mackey

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

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

This notebook tutorial demonstrates a method for sampling Boltzmann distributions of lattice field theories using a class of machine learning models known as normalizing flows. The ideas and approaches proposed in arXiv:1904.12072,…

Sampling from high-dimensional and structured probability distributions is a fundamental challenge in computational physics, particularly in the context of lattice field theory (LFT), where generating field configurations efficiently is…

Quantum Physics · Physics 2026-02-10 Jehu Martinez , Andrea Delgado

Chemellia is an open-source framework for atomistic machine learning in the Julia programming language. The framework takes advantage of Julia's high speed as well as the ability to share and reuse code and interfaces through the paradigm…

Computational Engineering, Finance, and Science · Computer Science 2023-05-23 Anant Thazhemadam , Dhairya Gandhi , Venkatasubramanian Viswanathan , Rachel C. Kurchin

We present the \texttt{NeuMC} software package, based on \pytorch, aimed at facilitating the research on neural samplers in lattice field theories. Neural samplers based on normalizing flows are becoming increasingly popular in the context…

High Energy Physics - Lattice · Physics 2025-10-09 Piotr Bialas , Piotr Korcyl , Tomasz Stebel , Dawid Zapolski

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

Analog Quantum Computers are promising tools for improving performance on applications such as modeling behavior of quantum materials, providing fast heuristic solutions to optimization problems, and simulating quantum systems. Due to the…

Quantum Physics · Physics 2024-07-31 Zachary Morrell , Marc Vuffray , Sidhant Misra , Carleton Coffrin

Multiphase turbulent flow phenomena are observed not only in industrial devices but also in environmental flows, and direct numerical simulation (DNS) plays a key role in their investigation. Many numerical models have been developed;…

Fluid Dynamics · Physics 2026-04-14 Taketo Tominaga , Ryo Onishi

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

Co-developing scientific algorithms and hardware accelerators requires domain-specific knowledge and large engineering resources. This leads to a slow development pace and high project complexity, which creates a barrier to entry that is…

Software Engineering · Computer Science 2025-03-13 Benedict Short , Ian McInerney , John Wickerson

We present an efficient numerical implementation of the quasi-classical doorway-window approximation, specifically designed for on-the-fly simulations of time-resolved nonlinear spectroscopic signals in the Julia package WaveMixings.jl. The…

Chemical Physics · Physics 2025-09-05 Luis Vasquez , Sebastian Pios , Lipeng Chen , Zhenggang Lan , Wolfgang Domcke , Maxim Gelin

MicroMagnetic.jl is an open-source Julia package for micromagnetic and atomistic simulations. Using the features of the Julia programming language, MicroMagnetic.jl supports CPU and various GPU platforms, including NVIDIA, AMD, Intel, and…

Mesoscale and Nanoscale Physics · Physics 2024-09-09 Weiwei Wang , Boyao Lyu , Lingyao Kong , Hans Fangohr , Haifeng Du

We present an open-source Julia-based software toolkit for solving the phase problem using dual-space iterative algorithms. The toolkit is specifically designed for aperiodic crystals and quasicrystals, supporting general space group…

Other Condensed Matter · Physics 2025-11-19 Pavel Kalugin

Machine learning methods based on normalizing flows have been shown to address important challenges, such as critical slowing-down and topological freezing, in the sampling of gauge field configurations in simple lattice field theories. A…

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 the Julia package HomotopyContinuation.jl, which provides an algorithmic framework for solving polynomial systems by numerical homotopy continuation. We introduce the basic capabilities of the package and demonstrate the software…

Mathematical Software · Computer Science 2018-05-31 Paul Breiding , Sascha Timme