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This report provides an (updated) overview of {\sl Grafalgo}, an open-source library of graph algorithms and the data structures used to implement them. The programs in this library were originally written to support a graduate class in…

Data Structures and Algorithms · Computer Science 2016-01-08 Jonathan Turner

Sampling from high-dimensional and structured probability distributions is a fundamental challenge in computational physics, particularly in the context of lattice field theory (LFT), where generating field configurations efficiently is…

Quantum Physics · Physics 2026-02-10 Jehu Martinez , Andrea Delgado

The PYTHIA program is a standard tool for the generation of high-energy collisions, comprising a coherent set of physics models for the evolution from a few-body hard process to a complex multihadronic final state. It contains a library of…

High Energy Physics - Phenomenology · Physics 2010-04-06 Torbjörn Sjöstrand , Stephen Mrenna , Peter Skands

The only known way to study quantum field theories in non-perturbative regimes is using numerical calculations regulated on discrete space-time lattices. Such computations, however, are often faced with exponential signal-to-noise…

High Energy Physics - Lattice · Physics 2020-03-04 A. Avkhadiev , P. E. Shanahan , R. D. Young

We introduce the Bandicoot C++ library for linear algebra and scientific computing on GPUs, overviewing its user interface and performance characteristics, as well as the technical details of its internal design. Bandicoot is the…

Mathematical Software · Computer Science 2025-09-23 Ryan R. Curtin , Marcus Edel , Conrad Sanderson

Lattice effective field theory applies the principles of effective field theory in a lattice framework where space and time are discretized. Nucleons are placed on the lattice sites, and the interactions are tuned to replicate the observed…

Nuclear Theory · Physics 2025-10-07 Dean Lee

In this contribution, a mathematical framework is constructed to relate and compare non-linear partial differential equations (PDEs) in the category of smooth manifolds. In particular, it can be used to compare those aspects of field…

Mathematical Physics · Physics 2024-03-28 Lukas Silvester Barth

We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level of expressiveness…

Mathematical Software · Computer Science 2012-05-15 Anders Logg , Garth N. Wells

The multigrid methodology is reviewed. By integrating numerical processes at all scales of a problem, it seeks to perform various computational tasks at a cost that rises as slowly as possible as a function of $n$, the number of degrees of…

High Energy Physics - Lattice · Physics 2009-10-22 Achi Brandt

Ordinary differential equation models facilitate the understanding of cellular signal transduction and other biological processes. However, for large and comprehensive models, the computational cost of simulating or calibrating can be…

Quantitative Methods · Quantitative Biology 2023-11-29 Fabian Fröhlich , Daniel Weindl , Yannik Schälte , Dilan Pathirana , Łukasz Paszkowski , Glenn Terje Lines , Paul Stapor , Jan Hasenauer

Large superconducting quantum circuits have a number of important applications in quantum computing. Accurately predicting the performance of these devices from first principles is challenging, as it requires solving the many-body…

In view of the rapid rise of the number of cores in modern supercomputers, time-parallel methods that introduce concurrency along the temporal axis are becoming increasingly popular. For the solution of time-dependent partial differential…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-22 Andrea Arteaga , Daniel Ruprecht , Rolf Krause

In this paper, we present Spatialize, an open-source library that implements ensemble spatial interpolation, a novel method that combines the simplicity of basic interpolation methods with the power of classical geostatistical tools, like…

This article introduces 'cpp11armadillo', a new R package that integrates the powerful Armadillo C++ library for linear algebra into the R programming environment. Targeted primarily at social scientists and other non-programmers, this…

Mathematical Software · Computer Science 2025-02-25 Mauricio Vargas Sepúlveda , Jonathan Schneider Malamud

One-sided communication is a useful paradigm for irregular parallel applications, but most one-sided programming environments, including MPI's one-sided interface and PGAS programming languages, lack application level libraries to support…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-03 Benjamin Brock , Aydın Buluç , Katherine Yelick

For many applications, we are unable to take full advantage of the potential massive parallelisation offered by supercomputers or cloud computing because it is too hard to work out how to divide up the computation task between processors in…

Logic in Computer Science · Computer Science 2017-09-08 John C. McCabe-Dansted , Mark Reynolds

Quantum computing, albeit readily available as hardware or emulated on the cloud, is still far from being available in general regarding complex programming paradigms and learning curves. This vision paper introduces $Classi|Q\rangle$, a…

Software Engineering · Computer Science 2024-07-02 Matteo Esposito , Maryam Tavassoli Sabzevari , Boshuai Ye , Davide Falessi , Arif Ali Khan , Davide Taibi

Quantum computers, with parallel computing and entanglement effects, excel in cryptography analysis and big data processing. However, they are not fully developed yet, and their performance needs further evaluation. Traditional computer…

Quantum Physics · Physics 2024-09-11 Zili Chen

We introduce Strawberry Fields, an open-source quantum programming architecture for light-based quantum computers, and detail its key features. Built in Python, Strawberry Fields is a full-stack library for design, simulation, optimization,…

There are numerous examples of problems in symbolic algebra in which the required storage grows far beyond the limitations even of the distributed RAM of a cluster. Often this limitation determines how large a problem one can solve in…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-11 Daniel Kunkle