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We consider Monte Carlo simulations of classical spin models of statistical mechanics using the massively parallel architecture provided by graphics processing units (GPUs). We discuss simulations of models with discrete and continuous…

Computational Physics · Physics 2012-07-20 Martin Weigel , Taras Yavors'kii

Direct N-body simulations and symplectic integrators are effective tools to study the long-term evolution of planetary systems. The Wisdom-Holman (WH) integrator in particular has been used extensively in planetary dynamics as it allows for…

Earth and Planetary Astrophysics · Physics 2019-10-02 Hanno Rein , Daniel Tamayo , Garett Brown

This article considers Hamiltonian mechanical systems with potential functions admitting jump discontinuities. The focus is on accurate and efficient numerical approximations of their solutions, which will be defined via the laws of…

Numerical Analysis · Mathematics 2022-01-05 Molei Tao , Shi Jin

We present a GPU-accelerated method for muon transport based on histogram sampling that delivers orders of magnitude faster performance than CPU-based Geant4 simulation. Our method employs precomputed histograms of momentum loss and…

Computational Physics · Physics 2025-12-12 Luis Felipe P. Cattelan , Shah Rukh Qasim , Patrick H. Owen , Nicola Serra

This paper presents a Graphics Processing Units (GPUs) implementation of the Semiclassical Initial Value Representation (SC-IVR) propagator for vibrational molecular spectroscopy calculations. The time-averaging formulation of the SC-IVR…

Computational Physics · Physics 2014-05-09 Dario Tamascelli , Francesco S. Dambrosio , Riccardo Conte , Michele Ceotto

One of the main challenges in Heavy Energy Physics is to make fast analysis of high amount of experimental and simulated data. At LHC-CERN one p-p event is approximate 1 Mb in size. The time taken to analyze the data and obtain fast results…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-01 Mihai Niculescu , Sorin-Ion Zgura

Hybrid symplectic integrators such as MERCURY are widely used to simulate complex dynamical phenomena in planetary dynamics that could otherwise not be investigated. A hybrid integrator achieves high accuracy during close encounters by…

Earth and Planetary Astrophysics · Physics 2019-03-18 Hanno Rein , David M. Hernandez , Daniel Tamayo , Garett Brown , Emily Eckels , Emma Holmes , Michelle Lau , Rejean Leblanc , Ari Silburt

A wide variety of outstanding problems in astrophysics involve the motion of a large number of particles ($N\gtrsim 10^{6}$) under the force of gravity. These include the global evolution of globular clusters, tidal disruptions of stars by…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Cristián Maureira-Fredes , Pau Amaro-Seoane

The Neural GPU is a recent model that can learn algorithms such as multi-digit binary addition and binary multiplication in a way that generalizes to inputs of arbitrary length. We show that there are two simple ways of improving the…

Neural and Evolutionary Computing · Computer Science 2016-11-08 Eric Price , Wojciech Zaremba , Ilya Sutskever

The current paper reports on the implementation of a numerical solver on the Graphic Processing Units (GPU) to model reactive gas mixture with detailed chemical kinetics. The solver incorporates high-order finite volume methods for solving…

Fluid Dynamics · Physics 2011-10-25 H. P. Le , J. -L. Cambier

GROMACS is a de-facto standard for classical Molecular Dynamics (MD). The rise of AI-driven interatomic potentials that pursue near-quantum accuracy at MD throughput now poses a significant challenge: embedding neural-network inference into…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-09 Luca Pennati , Andong Hu , Ivy Peng , Lukas Müllender , Stefano Markidis

Explicit symplectic integrators have been important tools for accurate and efficient approximations of mechanical systems with separable Hamiltonians. For the first time, the article proposes for arbitrary Hamiltonians similar integrators,…

Numerical Analysis · Mathematics 2016-10-19 Molei Tao

A new molecular simulation toolkit composed of some lately developed force fields and specified models is presented to study the self-assembly, phase transition, and other properties of polymeric systems at mesoscopic scale by utilizing the…

Computational Physics · Physics 2013-10-10 You-Liang Zhu , Hong Liu , Zhan-Wei Li , Hu-Jun Qian , Giuseppe Milano , Zhong-Yuan Lu

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

Over the last decades, various "non-linear" MCMC methods have arisen. While appealing for their convergence speed and efficiency, their practical implementation and theoretical study remain challenging. In this paper, we introduce a…

Statistics Theory · Mathematics 2022-08-04 Grégoire Clarté , Antoine Diez , Jean Feydy

Training large-scale models relies on a vast number of computing resources. For example, training the GPT-4 model (1.8 trillion parameters) requires 25000 A100 GPUs . It is a challenge to build a large-scale cluster with one type of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-12 Si Xu , Zixiao Huang , Yan Zeng , Shengen Yan , Xuefei Ning , Quanlu Zhang , Haolin Ye , Sipei Gu , Chunsheng Shui , Zhezheng Lin , Hao Zhang , Sheng Wang , Guohao Dai , Yu Wang

Electrostatic interactions play crucial roles in biophysical processes such as protein folding and molecular recognition. Poisson-Boltzmann equation (PBE)-based models have emerged as widely used in modeling these important processes.…

Computational Physics · Physics 2017-04-11 Ruxi Qi , Wesley M. Botello-Smith , Ray Luo

Molecular dynamics (MD) simulation is essential for various scientific domains but computationally expensive. Learning-based force fields have made significant progress in accelerating ab-initio MD simulation but are not fast enough for…

Machine Learning · Computer Science 2023-08-29 Xiang Fu , Tian Xie , Nathan J. Rebello , Bradley D. Olsen , Tommi Jaakkola

In this work, we consider the solution of boundary integral equations by means of a scalable hierarchical matrix approach on clusters equipped with graphics hardware, i.e. graphics processing units (GPUs). To this end, we extend our…

Mathematical Software · Computer Science 2018-07-02 Helmut Harbrecht , Peter Zaspel

We present the results of gravitational direct $N$-body simulations using the commercial graphics processing units (GPU) NVIDIA Quadro FX1400 and GeForce 8800GTX, and compare the results with GRAPE-6Af special purpose hardware. The force…

Performance · Computer Science 2015-06-25 Simon Portegies Zwart , Robert Belleman , Peter Geldof