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We present Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic partial differential equations. Utilizing Julia's strengths, Trixi.jl is extensible, easy to use, and fast. We describe the main design choices…

Mathematical Software · Computer Science 2022-01-19 Hendrik Ranocha , Michael Schlottke-Lakemper , Andrew R. Winters , Erik Faulhaber , Jesse Chan , Gregor J. Gassner

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…

No single Automatic Differentiation (AD) system is the optimal choice for all problems. This means informed selection of an AD system and combinations can be a problem-specific variable that can greatly impact performance. In the Julia…

Mathematical Software · Computer Science 2022-02-08 Frank Schäfer , Mohamed Tarek , Lyndon White , Chris Rackauckas

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

We introduce $\texttt{RandomMeas$.$jl}$, a modular and high-performance open-source software package written in Julia for implementing and analyzing randomized measurement protocols in quantum computing. Randomized measurements provide a…

Quantum Physics · Physics 2026-04-29 Andreas Elben , Benoît Vermersch

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

This work is devoted to the study of the capabilities of the Modelica and Julia programming languages for the implementation of a continuously discrete paradigm in modeling hybrid systems that contain both continuous and discrete aspects of…

Networking and Internet Architecture · Computer Science 2020-07-21 Anna Maria Yu. Apreutesey , Anna V. Korolkova , Dmitry S. Kulyabov

We present an efficient approach for writing architecture-agnostic parallel high-performance stencil computations in Julia, which is instantiated in the package ParallelStencil.jl. Powerful metaprogramming, costless abstractions and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-01 Samuel Omlin , Ludovic Räss

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

Technical computing is a challenging application area for programming languages to address. This is evinced by the unusually large number of specialized languages in the area (e.g. MATLAB, R), and the complexity of common software stacks,…

Programming Languages · Computer Science 2018-08-13 Jeff Bezanson , Jake Bolewski , Jiahao Chen

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 MultiObjectiveAlgorithms.jl, an open-source Julia library for solving multi-objective optimization problems written in JuMP. MultiObjectiveAlgorithms.jl implements a number of different solution algorithms, which all rely on an…

Optimization and Control · Mathematics 2026-05-26 Oscar Dowson , Xavier Gandibleux , Gökhan Kof

We present DataDeps.jl: a julia package for the reproducible handling of static datasets to enhance the repeatability of scripts used in the data and computational sciences. It is used to automate the data setup part of running software…

Software Engineering · Computer Science 2018-08-06 Lyndon White , Roberto Togneri , Wei Liu , Mohammed Bennamoun

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

Agent based modelling is a simulation method in which autonomous agents interact with their environment and one another, given a predefined set of rules. It is an integral method for modelling and simulating complex systems, such as…

Multiagent Systems · Computer Science 2022-01-10 George Datseris , Ali R. Vahdati , Timothy C. DuBois

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 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

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

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…

This tutorial shows an overview of Model Predictive Control with a linear discrete-time system and constrained states and inputs. The focus is on the implementation of the method under consideration of stability and recursive feasibility.…

Systems and Control · Electrical Eng. & Systems 2021-09-27 Michael Fink