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The Julia programming language has evolved into a modern alternative to fill existing gaps in scientific computing and data science applications. Julia leverages a unified and coordinated single-language and ecosystem paradigm and has a…

With the push towards Exascale computing and data-driven methods, problem sizes have increased dramatically, increasing the computational requirements of the underlying algorithms. This has led to a push to offload computations to general…

Software Engineering · Computer Science 2025-12-18 Benedict Short , Ian McInerney , John Wickerson

Increasing emphasis on data and quantitative methods in the biomedical sciences is making biological research more computational. Collecting, curating, processing, and analysing large genomic and imaging data sets poses major computational…

Quantitative Methods · Quantitative Biology 2021-09-22 Elisabeth Roesch , Joe G. Greener , Adam L. MacLean , Huda Nassar , Christopher Rackauckas , Timothy E. Holy , Michael P. H. Stumpf

Dynamical systems are ubiquitous in science and engineering as models of phenomena that evolve over time. Although complex dynamical systems tend to have important modular structure, conventional modeling approaches suppress this structure.…

Category Theory · Mathematics 2022-11-04 Sophie Libkind , Andrew Baas , Evan Patterson , James Fairbanks

We present ForwardDiff, a Julia package for forward-mode automatic differentiation (AD) featuring performance competitive with low-level languages like C++. Unlike recently developed AD tools in other popular high-level languages such as…

Mathematical Software · Computer Science 2016-07-28 Jarrett Revels , Miles Lubin , Theodore Papamarkou

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

The state of numerical computing is currently characterized by a divide between highly efficient yet typically cumbersome low-level languages such as C, C++, and Fortran and highly expressive yet typically slow high-level languages such as…

Optimization and Control · Mathematics 2015-03-20 Miles Lubin , Iain Dunning

Motivation: Flux balance analysis, and its variants, are widely used methods for predicting steady-state reaction rates in biochemical reaction networks. The exploration of high dimensional networks with such methods is currently hampered…

Quantitative Methods · Quantitative Biology 2016-11-17 Laurent Heirendt , Ronan M. T. Fleming , Ines Thiele

IntrinsicTimescales.jl is a Julia package to perform estimation of intrinsic neural timescales (INTs). INTs are defined as the time window in which prior information from an ongoing stimulus can affect the processing of newly arriving…

Neurons and Cognition · Quantitative Biology 2025-05-20 Yasir Catal , Georg Northoff

Model predictive control (MPC) is an optimal control technique which involves solving a sequence of constrained optimization problems across a given time horizon. In this paper, we introduce a category theoretic framework for constructing…

Optimization and Control · Mathematics 2024-03-12 Tyler Hanks , Baike She , Matthew Hale , Evan Patterson , Matthew Klawonn , James Fairbanks

As astronomical data grows in volume and complexity, the scalability of analysis software becomes increasingly important. At the same time, astrophysics analysis software relies heavily on open-source contributions, so languages and tools…

Instrumentation and Methods for Astrophysics · Physics 2024-02-01 Edward Berman , Jacqueline McCleary

We present a Julia package, DisjunctiveProgramming.jl, that extends the functionality in JuMP.jl to allow modeling problems via logical propositions and disjunctive constraints. Such models can then be reformulated into Mixed-Integer…

Logic in Computer Science · Computer Science 2023-04-21 Hector D. Perez , Shivank Joshi , Ignacio E. Grossmann

Machine learning as a discipline has seen an incredible surge of interest in recent years due in large part to a perfect storm of new theory, superior tooling, renewed interest in its capabilities. We present in this paper a framework named…

AtomTwin$.$jl is an open-source Julia package for developing and simulating quantum protocols, hardware configurations and building digital twins for neutral-atom quantum processors and related atomic quantum devices. AtomTwin operates…

Quantum Physics · Physics 2026-04-21 Shannon Whitlock

AcceleratedKernels.jl is introduced as a backend-agnostic library for parallel computing in Julia, natively targeting NVIDIA, AMD, Intel, and Apple accelerators via a unique transpilation architecture. Written in a unified, compact…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-23 Andrei-Leonard Nicusan , Dominik Werner , Simon Branford , Simon Hartley , Andrew J. Morris , Kit Windows-Yule

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

The Julia programming language was designed to fill the needs of scientific computing by combining the benefits of productivity and performance languages. Julia allows users to write untyped scripts easily without needing to worry about…

Programming Languages · Computer Science 2023-10-27 Benjamin Chung

In this paper, we present Insertus.jl, the Julia package that can help the user generate a randomization sequence of a given length for a multi-arm trial with a pre-specified target allocation ratio and assess the operating characteristics…

Methodology · Statistics 2024-07-22 Yevgen Ryeznik , Oleksandr Sverdlov

This paper proposes integrating Aspect-oriented Programming (AOP) into Julia, a language widely used in scientific and High-Performance Computing (HPC). AOP enhances software modularity by encapsulating cross-cutting concerns, such as…

Programming Languages · Computer Science 2024-12-30 Osamu Ishimura , Yoshihide Yoshimoto

Ai4EComponentLib.jl(Ai4EComponentLib) is a component-base model library based on Julia language, which relies on the differential equation solver DifferentialEquations.jl and the symbolic modeling tool Modelingtoolkit.jl. To handle problems…

Software Engineering · Computer Science 2022-08-25 Yuebao Yang , Jingyi Yang , Mingtao Li
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