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Medusa, a novel library for implementation of strong form mesh-free methods, is described. We identify and present common parts and patterns among many such methods reported in the literature, such as node positioning, stencil selection and…

Mathematical Software · Computer Science 2021-07-07 Jure Slak , Gregor Kosec

Box splines provide smooth spline spaces as shifts of a single generating function on a lattice and so generalize tensor-product splines. Their elegant theory is laid out in classical papers and a summarizing book. This compendium aims to…

Numerical Analysis · Mathematics 2023-04-12 Minho Kim , Jörg Peters

Submodular functions are a special class of set functions which naturally model the notion of representativeness, diversity, coverage etc. and have been shown to be computationally very efficient. A lot of past work has applied submodular…

Machine Learning · Computer Science 2022-02-24 Vishal Kaushal , Ganesh Ramakrishnan , Rishabh Iyer

Concurrently coupled numerical simulations using heterogeneous solvers are powerful tools for modeling multiscale phenomena. However, major modifications to existing codes are often required to enable such simulations, posing significant…

Computational Physics · Physics 2015-05-18 Yu-Hang Tang , Shuhei Kudo , Xin Bian , Zhen Li , George E. Karniadakis

Graphic Processing Units (GPUs) have become ubiquitous in scientific computing. However, writing efficient GPU kernels can be challenging due to the need for careful code tuning. To automatically explore the kernel optimization space,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-23 Stijn Heldens , Ben van Werkhoven

Spectral line observations are an indispensable tool to remotely probe the physical and chemical conditions throughout the universe. Modelling their behaviour is a computational challenge that requires dedicated software. In this paper, we…

Instrumentation and Methods for Astrophysics · Physics 2024-11-06 Thomas Ceulemans , Frederik De Ceuster , Leen Decin , Jeremy Yates

Cyanure is an open-source C++ software package with a Python interface. The goal of Cyanure is to provide state-of-the-art solvers for learning linear models, based on stochastic variance-reduced stochastic optimization with acceleration…

Machine Learning · Statistics 2019-12-23 Julien Mairal

ZKCM is a C++ library developed for the purpose of multiprecision matrix computation, on the basis of the GNU MP and MPFR libraries. It provides an easy-to-use syntax and convenient functions for matrix manipulations including those often…

Mathematical Software · Computer Science 2013-05-14 Akira SaiToh

The paper presents AMGCL -- an opensource C++ library implementing the algebraic multigrid method (AMG) for solution of large sparse linear systems of equations, usually arising from discretization of partial differential equations on an…

Mathematical Software · Computer Science 2019-06-26 Denis Demidov

This paper begins by reviewing numerous theoretical advancements in the field of multivariate splines, primarily contributed by Professor Larry L. Schumaker. These foundational results have paved the way for a wide range of applications and…

Numerical Analysis · Mathematics 2024-01-17 Ming-Jun Lai

Quantum++ is a modern general-purpose multi-threaded quantum computing library written in C++11 and composed solely of header files. The library is not restricted to qubit systems or specific quantum information processing tasks, being…

Quantum Physics · Physics 2018-12-12 Vlad Gheorghiu

Detecting slender, overlapping structures remains a challenge in computational microscopy. While recent coordinate-based approaches improve detection, they often produce less accurate splines than pixel-based methods. We introduce a…

Image and Video Processing · Electrical Eng. & Systems 2025-10-07 Frans Zdyb , Albert Alonso , Julius B. Kirkegaard

We present the library Moore, which implements Interval Arithmetic in modern C++. This library is based on a new feature in the C++ language called concepts, which reduces the problems caused by template meta programming, and leads to a new…

Mathematical Software · Computer Science 2016-11-30 Walter F. Mascarenhas

Background: With the rapid growth of massively parallel sequencing technologies, still more laboratories are utilizing sequenced DNA fragments for genomic analyses. Interpretation of sequencing data is, however, strongly dependent on…

This report provides an introduction to 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.…

Mathematical Software · Computer Science 2023-08-08 Ryan R. Curtin , Marcus Edel , Conrad Sanderson

This work aims to assess the state of the art of data parallel deep neural network training, trying to identify potential research tracks to be exploited for performance improvement. Beside, it presents a design for a practical C++ library…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-26 Paolo Viviani , Maurizio Drocco , Marco Aldinucci

This is the user manual for CosmoLattice, a modern package for lattice simulations of the dynamics of interacting scalar and gauge fields in an expanding universe. CosmoLattice incorporates a series of features that makes it very versatile…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-09 Daniel G. Figueroa , Adrien Florio , Francisco Torrenti , Wessel Valkenburg

While machine learning (ML) interatomic potentials (IPs) are able to achieve accuracies nearing the level of noise inherent in the first-principles data to which they are trained, it remains to be shown if their increased complexities are…

Materials Science · Physics 2023-10-05 Joshua A. Vita , Dallas R. Trinkle

Adapting large, object-oriented C++ codebases for hardware acceleration might be extremely challenging, particularly when targeting heterogeneous platforms such as GPUs. Marionette is a C++17 library designed to address this by enabling…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-10 Nuno dos Santos Fernandes , Pedro Tomás , Nuno Roma , Frank Winklmeier , Patricia Conde-Muíño

Programs written in C/C++ often include inline assembly: a snippet of architecture-specific assembly code used to access low-level functionalities that are impossible or expensive to simulate in the source language. Although inline assembly…

Programming Languages · Computer Science 2024-09-04 Paulo Emílio de Vilhena , Ori Lahav , Viktor Vafeiadis , Azalea Raad
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