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The increasing availability of GPUs for scientific computing has prompted interest in accelerating quantum chemical calculations through their use. The complexity of integral kernels for high angular momentum basis functions however often…

Parallel computing is a standard approach to achieving high-performance computing (HPC). Three commonly used methods to implement parallel computing include: 1) applying multithreading technology on single-core or multi-core CPUs; 2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Xinyao Yi

Dynamic Graph Neural Networks (DGNNs) have been broadly applied in various real-life applications, such as link prediction and pandemic forecast, to capture both static structural information and temporal characteristics from dynamic…

Machine Learning · Computer Science 2023-06-13 Chunyang Wang , Desen Sun , Yuebin Bai

Witnessing the advancing scale and complexity of chip design and benefiting from high-performance computation technologies, the simulation of Very Large Scale Integration (VLSI) Circuits imposes an increasing requirement for acceleration…

Data Structures and Algorithms · Computer Science 2023-04-27 Weijie Fang , Yanggeng Fu , Jiaquan Gao , Longkun Guo , Gregory Gutin , Xiaoyan Zhang

We present a GPU implementation of LAMMPS, a widely-used parallel molecular dynamics (MD) software package, and show 5x to 13x single node speedups versus the CPU-only version of LAMMPS. This new CUDA package for LAMMPS also enables…

Materials Science · Physics 2011-03-08 Christian R. Trott , Lars Winterfeld , Paul S. Crozier

This work studies the parallelization and empirical convergence of two finite difference acoustic wave propagation methods on 2-D rectangular grids, that use the same alternating direction implicit (ADI) time integration. This ADI…

Numerical Analysis · Mathematics 2020-06-16 B. Otero , O. Rojas , F. Moya , J. Castillo

There is a stage in the GPU computing pipeline where a grid of thread-blocks is mapped to the problem domain. Normally, this grid is a k-dimensional bounding box that covers a k-dimensional problem no matter its shape. Threads that fall…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-27 Cristobal A. Navarro , Nancy Hitschfeld

Linear Programs (LPs) appear in a large number of applications and offloading them to a GPU is viable to gain performance. Existing work on offloading and solving an LP on a GPU suggests that there is performance gain generally on large…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-26 Amit Gurung , Rajarshi Ray

Solving discretized versions of the Dirac equation represents a large share of execution time in lattice Quantum Chromodynamics (QCD) simulations. Many high-performance computing (HPC) clusters use graphics processing units (GPUs) to offer…

High Energy Physics - Lattice · Physics 2024-07-02 Tilmann Matthaei

This paper presents a new code for performing multidimensional radiation hydrodynamic (RHD) simulations on parallel computers involving anisotropic radiation fields and nonequilibrium effects. The radiation evolution modules described here…

Astrophysics · Physics 2009-11-07 John C. Hayes , Michael L. Norman

Numerical simulations can help solve complex problems. Most of these algorithms are massively parallel and thus good candidates for FPGA acceleration thanks to spatial parallelism. Modern FPGA devices can leverage high-bandwidth memory…

Hardware Architecture · Computer Science 2022-11-09 Stephanie Soldavini , Karl F. A. Friebel , Mattia Tibaldi , Gerald Hempel , Jeronimo Castrillon , Christian Pilato

This work proposes a new approach for mapping GPU threads onto a family of discrete embedded 2D fractals. A block-space map $\lambda: \mathbb{Z}_{\mathbb{E}}^{2} \mapsto \mathbb{Z}_{\mathbb{F}}^{2}$ is proposed, from Euclidean parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-29 Cristóbal A. Navarro , Felipe A. Quezada , Nancy Hitschfeld , Raimundo Vega , Benjamin Bustos

Ultra-fast electronic phenomena originating from finite temperature, such as nonlinear optical excitation, can be simulated with high fidelity via real-time time dependent density functional theory (rt-TDDFT) calculations with hybrid…

Materials Science · Physics 2025-01-07 Rongrong Liu , Zhuoqiang Guo , Qiuchen Sha , Tong Zhao , Haibo Li , Wei Hu , Lijun Liu , Guangming Tan , Weile Jia

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

Transformer models have achieved state-of-the-art performance on various domains of applications and gradually becomes the foundations of the advanced large deep learning (DL) models. However, how to train these models over multiple GPUs…

Machine Learning · Computer Science 2022-11-28 Xupeng Miao , Yujie Wang , Youhe Jiang , Chunan Shi , Xiaonan Nie , Hailin Zhang , Bin Cui

A Finite-Difference Time-Domain (FDTD) scheme with Perfectly Matched Layers (PMLs) is considered for solving the time-dependent Schr\"{o}dinger equation, and simulate the ionization of an electron initially bound to a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 Høgni C. Kamban , Sigurd S. Christensen , Thomas Søndergaard , Thomas G. Pedersen

The problem of solving a system of polynomial equations is one of the most fundamental problems in applied mathematics. Among them, the problem of solving a system of binomial equations form a important subclass for which specialized…

Algebraic Geometry · Mathematics 2015-03-03 Tianran Chen , Dhagash Mehta

The reliability of cardiovascular computational models depends on the accurate solution of the hemodynamics, the realistic characterization of the hyperelastic and electric properties of the tissues along with the correct description of…

In recent years, high performance scientific computing on graphics processing units (GPUs) have gained widespread acceptance. These devices are designed to offer massively parallel threads for running code with general purpose. There are…

Mathematical Software · Computer Science 2018-02-13 Tao Cui , Xiaohu Guo , Hui Liu

The goal of this work is to parallelize the multistep scheme for the numerical approximation of the backward stochastic differential equations (BSDEs) in order to achieve both, a high accuracy and a reduction of the computation time as…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-18 Lorenc Kapllani , Long Teng