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We evaluate Julia as a single language and ecosystem paradigm powered by LLVM to develop workflow components for high-performance computing. We run a Gray-Scott, 2-variable diffusion-reaction application using a memory-bound, 7-point…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-29 William F. Godoy , Pedro Valero-Lara , Caira Anderson , Katrina W. Lee , Ana Gainaru , Rafael Ferreira da Silva , Jeffrey S. Vetter

In problems of mathematical physics, to study the structures of spaces using the Cayley-Klein models in theoretical calculations, the use of generalized complex numbers is required. In the case of computational experiments, such tasks…

Mathematical Software · Computer Science 2020-07-21 Migran N. Gevorkyan , Anna V. Korolkova , Dmitry S. Kulyabov

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…

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

Generalized sampling is a numerically stable framework for obtaining reconstructions of signals in different bases and frames from their samples. In this paper, we will introduce a carefully documented toolbox for performing generalized…

Mathematical Software · Computer Science 2016-11-24 Robert Dahl Jacobsen , Morten Nielsen , Morten Grud Rasmussen

Classical methods to simulate quantum systems are not only a key element of the physicist's toolkit for studying many-body models but are also increasingly important for verifying and challenging upcoming quantum computers. Pauli…

Quantum Physics · Physics 2025-05-29 Manuel S. Rudolph , Tyson Jones , Yanting Teng , Armando Angrisani , Zoë Holmes

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

This thesis proposes an advanced, generic and high-level code rewriting and analysis system in the Julia programming language, providing applied equality saturation in the presence of multiple dispatch and metaprogramming. We show how our…

Programming Languages · Computer Science 2022-02-08 Alessandro Cheli

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

We present JuliaReach, a toolbox for set-based reachability analysis of dynamical systems. JuliaReach consists of two main packages: Reachability, containing implementations of reachability algorithms for continuous and hybrid systems, and…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Kostiantyn Potomkin , Christian Schilling

In many population-based medical studies, the specific cause of death is unidentified, unreliable or even unavailable. Relative survival analysis addresses this scenario, outside of standard (competing risks) survival analysis, to…

Computation · Statistics 2024-08-29 Rim Alhajal , Oskar Laverny

We describe the user interface, governing equations, and numerical methods underpinning the community ocean modeling software called "Oceananigans". Oceananigans development has been lead by the Climate Modeling Alliance to build a…

We present a Julia-based interface to the precompiled HALLaR and cuHALLaR binaries for large-scale semidefinite programs (SDPs). Both solvers are established as fast and numerically stable, and accept problem data in formats compatible with…

Optimization and Control · Mathematics 2025-08-25 Jacob Aguirre , Diego Cifuentes , Vincent Guigues , Renato D. C. Monteiro , Victor Hugo Nascimento , Arnesh Sujanani

In recent years, persistent homology has become an attractive method for data analysis. It captures topological features, such as connected components, holes, and voids from point cloud data and summarizes the way in which these features…

Mathematical Software · Computer Science 2018-09-17 Alan Hylton , Gregory Henselman-Petrusek , Janche Sang , Robert Short

The evergrowing computational complexity of High Performance Computing applications is often met with an horizontal scalling of computing systems. Colaterally, each added node risks being a single point of failure to parallel programs,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-04 Marcos Irigoyen , Carla Santana , Ramon C. F Araújo , Samuel Xavier-de-Souza

Geometric computing with chain complexes allows for the computation of the whole chain of linear spaces and (co)boundary operators generated by a space decomposition into a cell complex. The space decomposition is stored and handled with…

Computational Geometry · Computer Science 2017-11-07 Francesco Furiani , Giulio Martella , Alberto Paoluzzi

In this article I present IEAD, a new interface for astronomical science databases. It is based on a powerful, yet simple, syntax designed to completely abstract the user from the structure of the underlying database. The programming…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Marco Lombardi

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…

There are plenty of excellent plotting libraries. Each excels at a different use case: one is good for printed 2D publication figures, the other at interactive 3D graphics, a third has excellent L A TEX integration or is good for creating…

OptControl.jl(OptControl) implements that modeling optimal control problems with symbolic algebra system based on Julia language, and generates the corresponding numerical optimization codes to solve them with packages from Julia.…

Optimization and Control · Mathematics 2022-08-02 Jingyi Yang , Yuebao Yang , Mingtao Li