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We introduce Gradus.jl, an open-source and publicly available general relativistic ray-tracing toolkit for spectral modelling in arbitrary spacetimes. Our software is written in the Julia programming language, making use of forward-mode…

High Energy Astrophysical Phenomena · Physics 2025-10-20 Fergus J. E. Baker , Andrew J. Young

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

Scientific computing is increasingly incorporating the advancements in machine learning and the ability to work with large amounts of data. At the same time, machine learning models are becoming increasingly sophisticated and exhibit many…

Programming Languages · Computer Science 2019-07-19 Mike Innes , Alan Edelman , Keno Fischer , Chris Rackauckas , Elliot Saba , Viral B Shah , Will Tebbutt

JuMP is an open-source modeling language that allows users to express a wide range of optimization problems (linear, mixed-integer, quadratic, conic-quadratic, semidefinite, and nonlinear) in a high-level, algebraic syntax. JuMP takes…

Optimization and Control · Mathematics 2017-05-08 Iain Dunning , Joey Huchette , Miles Lubin

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

The Fast Fourier Transform (FFT) is a fundamental numerical technique with widespread application in a range of scientific problems. As scientific simulations attempt to exploit exascale systems, there has been a growing demand for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Sana Taghipour Anvari , Julian Samaroo , Matin Raayai Ardakani , David Kaeli

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

As a scientific programming language, Julia strives for performance but also provides high-level productivity features. To avoid performance pathologies, Julia users are expected to adhere to a coding discipline that enables so-called type…

Programming Languages · Computer Science 2021-11-18 Artem Pelenitsyn , Julia Belyakova , Benjamin Chung , Ross Tate , Jan Vitek

Driven by increasing compute requirements for deep learning models, compiler developers have been looking for ways to target specialised hardware and heterogeneous systems more efficiently. The MLIR project has the goal to offer…

Programming Languages · Computer Science 2025-03-10 Jules Merckx

In paper describes the new logic programming language Delta, which have a many good properties. Delta-programs is p-computable, verifiable and can translation on other languages. Also we describe the Delta-methodology for constructing…

Logic in Computer Science · Computer Science 2019-07-19 Andrey Nechesov

We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algorithms can be implemented in Julia, without the need to resort…

Mathematical Software · Computer Science 2017-05-18 Claus Fieker , William Hart , Tommy Hofmann , Fredrik Johansson

Adaptive optics systems are usually prototyped in a convenient but slow language like MATLAB or Python, and then re-written from scratch using high-performance C/C++ to perform real-time control. This duplication of effort adds costs and…

Instrumentation and Methods for Astrophysics · Physics 2024-07-11 William Thompson , Darryl Gamroth , Christian Marois , Olivier Lardière

Dynamic programming languages face semantic and performance challenges in the presence of features, such as eval, that can inject new code into a running program. The Julia programming language introduces the novel concept of world age to…

Programming Languages · Computer Science 2020-10-19 Julia Belyakova , Benjamin Chung , Jack Gelinas , Jameson Nash , Ross Tate , Jan Vitek

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

Many uncertainty propagation software exist, written in different programming languages, but not all of them are able to handle functional correlation between quantities. In this paper we review one strategy to deal with uncertainty…

Data Analysis, Statistics and Probability · Physics 2016-10-28 Mosè Giordano

We introduce Lyceum, a high-performance computational ecosystem for robot learning. Lyceum is built on top of the Julia programming language and the MuJoCo physics simulator, combining the ease-of-use of a high-level programming language…

Robotics · Computer Science 2020-01-22 Colin Summers , Kendall Lowrey , Aravind Rajeswaran , Siddhartha Srinivasa , Emanuel Todorov

Recent workshops brought together several developers, educators and users of software packages extending popular languages for spatial data handling, with a primary focus on R, Python and Julia. Common challenges discussed included handling…

In this paper we present the development of an open-source simulation toolbox, PowerSimulationsDynamics.jl, to study the dynamic response of power systems, focusing on the requirements to model systems with high penetrations of…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Jose Daniel Lara , Rodrigo Henriquez-Auba , Matthew Bossart , Duncan S. Callaway , Clayton Barrows

Logic rules are powerful for expressing complex reasoning and analysis problems. At the same time, they are inconvenient or impossible to use for many other aspects of applications. Integrating rules in a language with sets and functions,…

Programming Languages · Computer Science 2022-05-31 Yanhong A. Liu , Scott D. Stoller , Yi Tong , Bo Lin , K. Tuncay Tekle

We introduce DiffOpt.jl, a Julia library to differentiate through the solution of optimization problems with respect to arbitrary parameters present in the objective and/or constraints. The library builds upon MathOptInterface, thus…

Machine Learning · Computer Science 2023-08-01 Mathieu Besançon , Joaquim Dias Garcia , Benoît Legat , Akshay Sharma