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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 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

Integrating computational fluid dynamics (CFD) software into optimization and machine-learning frameworks is hampered by the rigidity of classic computational languages and the slow performance of more flexible high-level languages.…

Fluid Dynamics · Physics 2023-04-18 Gabriel D. Weymouth , Bernat Font

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

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

The growing proliferation of FPGAs and High-level Synthesis (HLS) tools has led to a large interest in designing hardware accelerators for complex operations and algorithms. However, existing HLS toolflows typically require a significant…

Software Engineering · Computer Science 2022-02-18 Benjamin Biggs , Ian McInerney , Eric C. Kerrigan , George A. Constantinides

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

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

With the increasing complexity of modern software and the demand for high performance, energy consumption has become a critical factor for developers and researchers. While much of the research community is focused on evaluating the energy…

Software Engineering · Computer Science 2024-12-19 Shivadharshan S , Akilesh P , Rajrupa Chattaraj , Sridhar Chimalakonda

Scientific legacy code in MATLAB/Octave not compatible with modernization of research workflows is vastly abundant throughout academic community. Performance of non-vectorized code written in MATLAB/Octave represents a major burden. A new…

Software Engineering · Computer Science 2017-01-10 Vardan Andriasyan , Yauhen Yakimovich , Artur Yakimovich

PowerDynamics.jl is an Open-Source library for dynamic power grid modeling built in the latest scientific programming language, Julia. It provides all the tools necessary to analyze the dynamical stability of power grids with high share of…

Systems and Control · Electrical Eng. & Systems 2020-12-10 Tim Kittel , Sabine Auer , Christina Horn

We present a full implementation of the parareal algorithm---an integration technique to solve differential equations in parallel---in the Julia programming language for a fully general, first-order, initial-value problem. We provide a…

Mathematical Software · Computer Science 2018-12-17 Tyler M. Masthay , Saverio Perugini

We introduce the Scheduling.jl Julia package, which is intended for collaboratively conducting scheduling research and for sharing implementations of algorithms. It provides the fundamental building blocks for implementing scheduling…

Data Structures and Algorithms · Computer Science 2020-03-12 Sascha Hunold , Bartłomiej Przybylski

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 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 QuantumToolbox$.$jl, an open-source Julia package for simulating open quantum systems. Designed with a syntax familiar to users of QuTiP (Quantum Toolbox in Python), it harnesses Julia's high-performance ecosystem to deliver fast…

Quantum Physics · Physics 2025-10-06 Alberto Mercurio , Yi-Te Huang , Li-Xun Cai , Yueh-Nan Chen , Vincenzo Savona , Franco Nori

Integrating computational fluid dynamics (CFD) solvers into optimization and machine-learning frameworks is hampered by the rigidity of classic computational languages and the slow performance of more flexible high-level languages. In this…

Fluid Dynamics · Physics 2025-07-22 Gabriel D. Weymouth , Bernat Font

Gaussian processes are a class of flexible nonparametric Bayesian tools that are widely used across the sciences, and in industry, to model complex data sources. Key to applying Gaussian process models is the availability of well-developed…

Computation · Statistics 2019-07-02 Jamie Fairbrother , Christopher Nemeth , Maxime Rischard , Johanni Brea , Thomas Pinder

The non-equidistant fast Fourier transform (NFFT) is an extension of the famous fast Fourier transform (FFT), which can be applied to non-equidistantly sampled data in time/space or frequency domain. It is an approximative algorithm that…

Mathematical Software · Computer Science 2023-01-31 Tobias Knopp , Marija Boberg , Mirco Grosser

NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining…

Mathematical Software · Computer Science 2021-07-02 Michael Lindner , Lucas Lincoln , Fenja Drauschke , Julia Monika Koulen , Hans Würfel , Anton Plietzsch , Frank Hellmann