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Graph Neural Networks (GNNs) are emerging as a formidable tool for processing non-euclidean data across various domains, ranging from social network analysis to bioinformatics. Despite their effectiveness, their adoption has not been…

Hardware Architecture · Computer Science 2024-04-30 Kaustubh Shivdikar , Nicolas Bohm Agostini , Malith Jayaweera , Gilbert Jonatan , Jose L. Abellan , Ajay Joshi , John Kim , David Kaeli

Clawpack is a library for solving nonlinear hyperbolic partial differential equations using high-resolution finite volume methods based on Riemann solvers and limiters. It supports Adaptive Mesh Refinement (AMR), which is essential in…

Mathematical Software · Computer Science 2018-08-09 Xinsheng Qin , Randall J. LeVeque , Michael R. Motley

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

Mathematical Software · Computer Science 2012-07-10 Mauro Bianco , Ugo Varetto

The solution of eigenproblems is often a key computational bottleneck that limits the tractable system size of numerical algorithms, among them electronic structure theory in chemistry and in condensed matter physics. Large eigenproblems…

We demonstrate a high-performance vendor-agnostic method for massively parallel solving of ensembles of ordinary differential equations (ODEs) and stochastic differential equations (SDEs) on GPUs. The method is integrated with a widely used…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-20 Utkarsh Utkarsh , Valentin Churavy , Yingbo Ma , Tim Besard , Prakitr Srisuma , Tim Gymnich , Adam R. Gerlach , Alan Edelman , George Barbastathis , Richard D. Braatz , Christopher Rackauckas

Tremendous advances in parallel computing and graphics hardware opened up several novel real-time GPU applications in the fields of computer vision, computer graphics as well as augmented reality (AR) and virtual reality (VR). Although…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-19 Patrick Stotko

For large-scale graph analytics on the GPU, the irregularity of data access and control flow, and the complexity of programming GPUs have been two significant challenges for developing a programmable high-performance graph library.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-24 Yangzihao Wang , Andrew Davidson , Yuechao Pan , Yuduo Wu , Andy Riffel , John D. Owens

Last several years, GPUs are used to accelerate computations in many computer science domains. We focused on GPU accelerated Support Vector Machines (SVM) training with non-linear kernel functions. We had searched for all available GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-21 Jan Vanek , Josef Michalek , Josef Psutka

Modern platforms used for high-performance computing (HPC) include machines with both general-purpose CPUs, and "accelerators", often in the form of graphical processing units (GPUs). StarPU is a C library to exploit such platforms. It…

Mathematical Software · Computer Science 2013-04-11 Ludovic Courtès

Fine-grained workload and resource balancing is the key to high performance for regular and irregular computations on the GPUs. In this dissertation, we conduct an extensive survey of existing load-balancing techniques to build an…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-20 Muhammad Osama

GPU hash tables are increasingly used to accelerate data processing, but their limited functionality restricts adoption in large-scale data processing applications. Current limitations include incomplete concurrency support and missing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-24 Hunter McCoy , Prashant Pandey

The solution of (generalized) eigenvalue problems for symmetric or Hermitian matrices is a common subtask of many numerical calculations in electronic structure theory or materials science. Solving the eigenvalue problem can easily amount…

Mathematical Software · Computer Science 2020-01-08 P. Kus , A. Marek , S. S. Koecher , H. -H. Kowalski , C. Carbogno , Ch. Scheurer , K. Reuter , M. Scheffler , H. Lederer

While interior point methods have been the centerpiece of nonlinear programming tools used in science and engineering, their reliance on linear solvers that can tackle sparse symmetric indefinite and highly ill-conditioned problems made it…

Mathematical Software · Computer Science 2026-05-14 Slaven Peles , Kalyan S. Perumalla , Maksudul Alam , Asher J. Mancinelli , R. Cameron Rutherford , Jake Ryan , Cosmin G. Petra

We present a GPU-accelerated version of the real-space SPARC electronic structure code for performing hybrid functional calculations in generalized Kohn-Sham density functional theory. In particular, we develop a batch variant of the…

Computational Physics · Physics 2025-01-29 Xin Jing , Abhiraj Sharma , John E. Pask , Phanish Suryanarayana

The present work describes the development of heterogeneous GPGPU implicit CFD coupled solvers, encompassing both density- and pressure- based approaches. In this setup, the assembled linear matrix is offloaded onto multiple GPUs using…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-14 Stefano Oliani , Ettore Fadiga , Ivan Spisso , Luigi Capone , Federico Piscaglia

This paper presents a GPU-accelerated framework for solving block tridiagonal linear systems that arise naturally in numerous real-time applications across engineering and scientific computing. Through a multi-stage permutation strategy…

Optimization and Control · Mathematics 2026-01-08 Roland Schwan , Daniel Kuhn , Colin N. Jones

We investigate the potential of Graphics Processing Units (GPUs) to solve large-scale nonlinear programs with a dynamic structure. Using ExaModels, a GPU-accelerated automatic differentiation tool, and the interior-point solver MadNLP, we…

Optimization and Control · Mathematics 2024-09-13 François Pacaud , Sungho Shin

We present a data-parallel software package for fitting Gaussian Approximation Potentials (GAPs) on multiple nodes using the ScaLAPACK library with MPI and OpenMP. Until now the maximum training set size for GAP models has been limited by…

Materials Science · Physics 2022-11-14 Sascha Klawohn , James R. Kermode , Albert P. Bartók

As GPU-accelerated mathematical programming techniques mature, there is growing interest in utilizing them to address the computational challenges of power system optimization. This paper introduces ExaModelsPower.jl, an open-source…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Sanjay Johnson , Dirk Lauinger , Sungho Shin , François Pacaud

We present NeuralMag, a flexible and high-performance open-source Python library for micromagnetic simulations. NeuralMag leverages modern machine learning frameworks, such as PyTorch and JAX, to perform efficient tensor operations on…