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This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. The discrete equations are solved using a matrix-free preconditioned conjugate gradient algorithm. An…

Computational Engineering, Finance, and Science · Computer Science 2016-09-21 J. -F. Remacle , R. Gandham , T. Warburton

I present HPRMAT, a high-performance solver library for the linear systems arising in R-matrix coupled-channel scattering calculations in nuclear physics. Designed as a drop-in replacement for the linear algebra routines in existing…

Computational Physics · Physics 2025-12-15 Jin Lei

In recent years graphical processing units (GPUs) have become a powerful tool in scientific computing. Their potential to speed up highly parallel applications brings the power of high performance computing to a wider range of users.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-26 Uldis Locans , Andreas Adelmann , Andreas Suter , Jannis Fischer , Werner Lustermann , Gunther Dissertori , Qiulin Wang

The Mat\'ern covariance function is ubiquitous in the application of Gaussian processes to spatial statistics and beyond. Perhaps the most important reason for this is that the smoothness parameter $\nu$ gives complete control over the…

Computation · Statistics 2022-05-11 Christopher J. Geoga , Oana Marin , Michel Schanen , Michael L. Stein

Characterizing materials using electron micrographs is crucial in areas such as semiconductors and quantum materials. Traditional classification methods falter due to the intricatestructures of these micrographs. This study introduces an…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Sakhinana Sagar Srinivas , Geethan Sannidhi , Sreeja Gangasani , Chidaksh Ravuru , Venkataramana Runkana

Metaheuristics are widely recognized gradient-free solvers to hard problems that do not meet the rigorous mathematical assumptions of conventional solvers. The automated design of metaheuristic algorithms provides an attractive path to…

Neural and Evolutionary Computing · Computer Science 2025-04-08 Qi Zhao , Bai Yan , Taiwei Hu , Xianglong Chen , Jian Yang , Shi Cheng , Yuhui Shi

The auto differentiable simulation is a type of simulation that outputs of the simulation include not only the simulation result itself, but also their derivatives with respect to various input parameters. It provides an efficient method to…

Computational Physics · Physics 2025-12-01 Ji Qianga , Yue Hao , Allen Qiang , Jinyu Wan

A general purpose, modular program package for the integration of large number of independent ordinary differential equation systems capable of using professional graphics cards is presented. The available numerical schemes are the explicit…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Ferenc Hegedűs

Automated Machine Learning (AutoML) is an area of research that focuses on developing methods to generate machine learning models automatically. The idea of being able to build machine learning models with very little human intervention…

Machine Learning · Computer Science 2023-08-31 Hernan Ceferino Vazquez

Future computing systems, from handhelds to supercomputers, will undoubtedly be more parallel and heterogeneous than todays systems to provide more performance and energy efficiency. Thus, GPUs are increasingly being used to accelerate…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-18 Saeed Taheri , Apan Qasem , Martin Burtscher

Graph Pattern Mining (GPM) is an important, rapidly evolving, and computation demanding area. GPM computation relies on subgraph enumeration, which consists in extracting subgraphs that match a given property from an input graph. Graphics…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-12 Samuel Ferraz , Vinicius Dias , Carlos H. C. Teixeira , George Teodoro , Wagner Meira

A large class of non-smooth practical optimization problems can be written as minimization of a sum of smooth and partly smooth functions. We examine such structured problems which also depend on a parameter vector and study the problem of…

Optimization and Control · Mathematics 2024-10-28 Sheheryar Mehmood , Peter Ochs

AutoGluon-Multimodal (AutoMM) is introduced as an open-source AutoML library designed specifically for multimodal learning. Distinguished by its exceptional ease of use, AutoMM enables fine-tuning of foundation models with just three lines…

Machine Learning · Computer Science 2024-05-02 Zhiqiang Tang , Haoyang Fang , Su Zhou , Taojiannan Yang , Zihan Zhong , Tony Hu , Katrin Kirchhoff , George Karypis

The availability of large volumes of remote sensing data insists on higher degree of automation in feature extraction, making it a need of the hour.The huge quantum of data that needs to be processed entails accelerated processing to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-16 K. Phani Tejaswi , D. Shanmukha Rao , Thara Nair , A. V. V. Prasad

In order to obtain more accurate solutions of polynomial systems with numerical continuation methods we use multiprecision arithmetic. Our goal is to offset the overhead of double double arithmetic accelerating the path trackers and in…

Mathematical Software · Computer Science 2012-01-04 Jan Verschelde , Genady Yoffe

Automatic differentiation is a set of techniques to efficiently and accurately compute the derivative of a function represented by a computer program. Existing C++ libraries for automatic differentiation (e.g. Adept, Stan Math Library),…

Mathematical Software · Computer Science 2021-02-09 James Yang

Graphics Processing Units (GPUs) have revolutionized the computing landscape over the past decade. However, the growing energy demands of data centres and computing facilities equipped with GPUs come with significant capital and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-15 Richard Schoonhoven , Bram Veenboer , Ben van Werkhoven , Kees Joost Batenburg

Algebraic Multigrid (AMG) is one of the most used iterative algorithms for solving large sparse linear equations $Ax=b$. In AMG, the coarse grid is a key component that affects the efficiency of the algorithm, the construction of which…

Numerical Analysis · Mathematics 2023-08-17 Haifeng Zou , Xiaowen Xu , Chen-Song Zhang , Zeyao Mo

This work presents transparent checkpointing of OpenGL applications, refining the split-process technique[1] for application in GPU-based 3D graphics. The split-process technique was earlier applied to checkpointing MPI and CUDA programs,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-03 David Hou , Jun Gan , Yue Li , Younes El Idrissi Yazami , Twinkle Jain

We present a distributed parallel mesh curving method for virtual geometry. The main application is to generate large-scale curved meshes on complex geometry suitable for analysis with unstructured high-order methods. Accordingly, we devise…

Computational Engineering, Finance, and Science · Computer Science 2022-11-17 Eloi Ruiz-Gironés , Xevi Roca