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Adaptive finite elements combined with geometric multigrid solvers are one of the most efficient numerical methods for problems such as the instationary Navier-Stokes equations. Yet despite their efficiency, computations remain expensive…

Numerical Analysis · Mathematics 2025-12-23 Manuel Liebchen , Robert Jendersie , Utku Kaya , Christian Lessig , Thomas Richter

Many emerging cyber-physical systems, such as autonomous vehicles and robots, rely heavily on artificial intelligence and machine learning algorithms to perform important system operations. Since these highly parallel applications are…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-07 An Zou , Jing Li , Christopher D. Gill , Xuan Zhang

Physics-based simulation has been actively employed in generating offline visual effects in the film and animation industry. However, the computations required for high-quality scenarios are generally immense, deterring its adoption in…

Graphics · Computer Science 2021-11-02 Yun Fei , Yuhan Huang , Ming Gao

This paper presents the implementation of a HLLC finite volume solver using GPU technology for the solution of shallow water problems in two dimensions. It compares both CPU and GPU approaches for implementing all the solver's steps. The…

Computational Engineering, Finance, and Science · Computer Science 2018-07-03 Fabrice Zaoui

The graphics processing unit (GPU) has emerged as a powerful and cost effective processor for general performance computing. GPUs are capable of an order of magnitude more floating-point operations per second as compared to modern central…

Computation · Statistics 2012-07-24 Mark Franey , Pritam Ranjan , Hugh Chipman

We describe the GPU implementation of shifted or multimass iterative solvers for sparse linear systems of the sort encountered in lattice gauge theory. We provide a generic tool that can be used by those without GPU programming experience…

High Energy Physics - Lattice · Physics 2011-02-16 Richard Galvez , Greg van Anders

Matlab is very widely used in scientific computing, but Matlab computational efficiency is lower than C language program. In order to improve the computing speed, some toolbox can use GPU to accelerate the computation. This paper describes…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-26 Mingzhe Wang , Bo Wang , Qiu He , Xiuxiu Liu , Kunshuai Zhu

We use a graphics processing unit (GPU) for fast computations of Monte Carlo integrations. Two widely used Monte Carlo integration programs, VEGAS and BASES, are parallelized on GPU. By using $W^{+}$ plus multi-gluon production processes at…

Computational Physics · Physics 2011-03-03 J. Kanzaki

In this paper, we describe the performance of an $N$-body simulation of star cluster with 64k stars on a Cray XD1 system with 400 dual-core Opteron processors. A number of astrophysical $N$-body simulations were reported in SCxy…

Astrophysics · Physics 2007-05-23 Keigo Nitadori , Junichiro Makino , George Abe

We present the numerical methods and GPU-accelerated implementation underlying a Total Lagrangian finite element framework for finite-deformation flexible multibody dynamics, introduced in the companion paper [1]. The framework supports…

Computational Engineering, Finance, and Science · Computer Science 2026-05-04 Zhenhao Zhou , Ruochun Zhang , Ganesh Arivoli , Dan Negrut

A solvable many-body problem in the plane is exhibited. It is characterized by rotation-invariant Newtonian (``acceleration equal force'') equations of motion, featuring one-body (``external'') and pair (``interparticle'') forces. The…

Mathematical Physics · Physics 2015-06-26 Francesco Calogero

Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

Computational Physics · Physics 2017-01-05 Daniel Magee , Kyle E Niemeyer

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

One of application that needs high performance computing resources is molecular d ynamic. There is some software available that perform molecular dynamic, one of these is a well known GROMACS. Our previous experiment simulating molecular…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-17 Heru Suhartanto , Arry Yanuar , Ari Wibisono

Although originally developed primarily for artificial intelligence workloads, RISC-V-based accelerators are also emerging as attractive platforms for high-performance scientific computing. In this work, we present our approach to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-24 Jenny Lynn Almerol , Elisabetta Boella , Mario Spera , Daniele Gregori

In this paper, we describe the architecture and performance of the GraCCA system, a Graphic-Card Cluster for Astrophysics simulations. It consists of 16 nodes, with each node equipped with 2 modern graphic cards, the NVIDIA GeForce 8800…

Astrophysics · Physics 2008-11-26 Hsi-Yu Schive , Chia-Hung Chien , Shing-Kwong Wong , Yu-Chih Tsai , Tzihong Chiueh

Simulating the evolution of the gravitational N-body problem becomes extremely computationally expensive as N increases since the problem complexity scales quadratically with the number of bodies. We study the use of Artificial Neural…

Earth and Planetary Astrophysics · Physics 2023-11-01 Veronica Saz Ulibarrena , Philipp Horn , Simon Portegies Zwart , Elena Sellentin , Barry Koren , Maxwell X. Cai

We present performance measurements of direct gravitational N -body simulation on the grid, with and without specialized (GRAPE-6) hardware. Our inter-continental virtual organization consists of three sites, one in Tokyo, one in…

Astrophysics · Physics 2008-11-26 Derek Groen , Simon Portegies Zwart , Steve McMillan , Jun Makino

The subjects and key questions faced by computational astrophysics using N-body simulations are discussed in the fields of globular star cluster dynamics, galactic nuclei and cosmological structure formation. After a comparison of the…

Astrophysics · Physics 2007-05-23 Rainer Spurzem

The study of biological systems witnessed a pervasive cross-fertilization between experimental investigation and computational methods. This gave rise to the development of new methodologies, able to tackle the complexity of biological…

Computational Engineering, Finance, and Science · Computer Science 2013-10-01 Daniela Besozzi , Giulio Caravagna , Paolo Cazzaniga , Marco Nobile , Dario Pescini , Alessandro Re
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