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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

In this paper we present GridapTopOpt, an extendable framework for level set-based topology optimisation that can be readily distributed across a personal computer or high-performance computing cluster. The package is written in Julia and…

Mathematical Software · Computer Science 2026-01-26 Zachary J. Wegert , Jordi Manyer , Connor Mallon , Santiago Badia , Vivien J. Challis

We present a suite of packages in R, Python, Julia, and C++ that efficiently solve the Sorted L-One Penalized Estimation (SLOPE) problem. The packages feature a highly efficient hybrid coordinate descent algorithm that fits generalized…

Computation · Statistics 2025-11-18 Johan Larsson , Malgorzata Bogdan , Krystyna Grzesiak , Mathurin Massias , Jonas Wallin

We present a MATLAB package called the Pha-sorArray Toolbox that has been developed to make harmonic analysis and control methods both practical and user-friendly. The toolbox adopts an object-oriented architecture that enables intuitive…

Systems and Control · Electrical Eng. & Systems 2025-10-27 Maxime Grosso , Pierre Riedinger , Jamal Daafouz

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

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

Most computer algebra systems (CAS) support symbolic integration as core functionality. The majority of the integration packages use a combination of heuristic algebraic and rule-based (integration table) methods. In this paper, we present…

Symbolic Computation · Computer Science 2022-02-08 Shahriar Iravanian , Carl Julius Martensen , Alessandro Cheli , Shashi Gowda , Anand Jain , Yingbo Ma , Chris Rackauckas

We present graph-based modeling abstractions to represent cyber-physical dependencies arising in complex systems. Specifically, we propose an algebraic graph abstraction to capture physical connectivity in complex optimization models and a…

Optimization and Control · Mathematics 2018-12-13 Jordan Jalving , Yankai Cao , Victor M. Zavala

LazySets.jl is a Julia library that provides ways to symbolically represent sets of points as geometric shapes, with a special focus on convex sets and polyhedral approximations. LazySets provides methods to apply common set operations,…

Mathematical Software · Computer Science 2022-05-04 Marcelo Forets , Christian Schilling

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

GomalizingFlow.jl: is a package to generate configurations for quantum field theory on the lattice using the flow based sampling algorithm in Julia programming language. This software serves two main purposes: to accelerate research of…

High Energy Physics - Lattice · Physics 2023-10-05 Akio Tomiya , Satoshi Terasaki

The evolving focus in statistics and data science education highlights the growing importance of computing. This paper presents the Data Jamboree, a live event that combines computational methods with traditional statistical techniques to…

Other Statistics · Statistics 2025-03-25 Lucy D'Agostino McGowan , Shannon Tass , Sam Tyner , HaiYing Wang , Jun Yan

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

We introduce CBXPy and ConsensusBasedX.jl, Python and Julia implementations of consensus-based interacting particle systems (CBX), which generalise consensus-based optimization methods (CBO) for global, derivative-free optimisation. The…

Optimization and Control · Mathematics 2024-12-04 Rafael Bailo , Alethea Barbaro , Susana N. Gomes , Konstantin Riedl , Tim Roith , Claudia Totzeck , Urbain Vaes

N-body simulations and trajectory analysis rely on the calculation of attributes that depend on pairwise particle distances within a cutoff. Interparticle potential energies, forces, distribution functions, neighbor lists, and…

Computational Physics · Physics 2022-06-22 Leandro Martínez

We present PEPSKit.jl, a Julia package for simulating two-dimensional quantum many-body systems with infinite projected entangled-pair states (iPEPS). PEPSKit.jl builds on the TensorKit.jl package for tensor computations and provides…

Strongly Correlated Electrons · Physics 2026-05-20 Paul Brehmer , Lander Burgelman , Zheng-Yuan Yue , Gleb Fedorovich , Jutho Haegeman , Lukas Devos

We introduce QuiverTools, a new software package, available in both a SageMath and Julia version, to study quivers and their moduli spaces of representations. Its key features are the computation of general subdimension vectors, leading to…

Algebraic Geometry · Mathematics 2026-05-27 Pieter Belmans , Hans Franzen , Gianni Petrella

Numerical ``direct'' approaches to time-optimal control often fail to find solutions that are singular in the sense of the Pontryagin Maximum Principle, performing better when searching for saturated (bang-bang) solutions. In previous work…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Arthur Castello Branco de Oliveira , Milad Siami , Eduardo D. Sontag

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

Julia is a mature general-purpose programming language, with a large ecosystem of libraries and more than 12000 third-party packages, which specifically targets scientific computing. As a language, Julia is as dynamic, interactive, and…

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