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相关论文: Multi-mass solvers for lattice QCD on GPUs

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Results on the computational efficiency of 2-flavor staggered Wilson fermions compared to usual Wilson fermions in a quenched lattice QCD simulation on $16^3\times32$ lattice at $\beta=6$ are reported. We compare the cost of inverting the…

高能物理 - 格点 · 物理学 2013-12-18 David H. Adams , Daniel Nogradi , Andrii Petrashyk , Christian Zielinski

This study is mainly focused on iterative solutions to shifted linear systems arising from a Quantum Chromodynamics (QCD) problem. To solve such system efficiently, we explore a kind of shifted QMRCGstab (SQMRCGstab) methods, which is…

数值分析 · 数学 2013-05-27 Jing Meng , Pei-yong Zhu , Hou-Biao Li

Over the past five years, graphics processing units (GPUs) have had a transformational effect on numerical lattice quantum chromodynamics (LQCD) calculations in nuclear and particle physics. While GPUs have been applied with great success…

高能物理 - 格点 · 物理学 2016-11-15 R. Babich , M. A. Clark , B. Joó , G. Shi , R. C. Brower , S. Gottlieb

A modern Fortran implementation of three Dirac operators (Wilson, Brillouin, Susskind) in lattice QCD is presented, based on OpenMP shared-memory parallelization and SIMD pragmas. The main idea is to apply a Dirac operator to $N_v$ vectors…

高能物理 - 格点 · 物理学 2021-12-30 Stephan Durr

The spectrum of masses from a lattice QCD simulation may be found by fitting exponential functions to correlators of operators possessing the quantum numbers of the particles of interest. The ability of evolutionary algorithms to find…

高能物理 - 格点 · 物理学 2008-11-26 Georg M. von Hippel , Randy Lewis , Robert G. Petry

The exponential growth of floating point power in graphics processing units (GPUs), together with their low cost, has given rise to an attractive platform upon which to deploy lattice QCD calculations. GPUs are essentially many (O(100))…

高能物理 - 格点 · 物理学 2010-11-05 M. A. Clark

Matrix factorization (MF) has been widely used in e.g., recommender systems, topic modeling and word embedding. Stochastic gradient descent (SGD) is popular in solving MF problems because it can deal with large data sets and is easy to do…

机器学习 · 计算机科学 2016-11-11 Xiaolong Xie , Wei Tan , Liana L. Fong , Yun Liang

Lattice spin models are useful for studying critical phenomena and allow the extraction of equilibrium and dynamical properties. Simulations of such systems are usually based on Monte Carlo (MC) techniques, and the main difficulty is often…

计算物理 · 物理学 2012-09-13 Tal Levy , Guy Cohen , Eran Rabani

PLQCD is a stand-alone software library developed under PRACE for lattice QCD. It provides an implementation of the Dirac operator for Wilson type fermions and few efficient linear solvers. The library is optimized for multi-core machines…

高能物理 - 格点 · 物理学 2014-05-06 A. Abdel-Rehim , C. Alexandrou , N. Anastopoulos , G. Koutsou , I. Liabotis , N. Papadopoulou

We report an implementation of a multigrid solver for the Clover fermion on supercomputer Fugaku, which uses A64FX CPU with Arm architecture. On Fugaku, a highly optimized implementation of BiCGStab solver with domain decomposed…

高能物理 - 格点 · 物理学 2021-12-02 Ken-Ichi Ishikawa , Issaku Kanamori , Hideo Matsufuru

We describe an algebraic algorithm which allows to express every one-loop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although…

高能物理 - 格点 · 物理学 2009-10-28 Giuseppe Burgio , Sergio Caracciolo , Andrea Pelissetto

Lattice Boltzmann method (LBM) is a promising approach to solving Computational Fluid Dynamics (CFD) problems, however, its nature of memory-boundness limits nearly all LBM algorithms' performance on modern computer architectures. This…

分布式、并行与集群计算 · 计算机科学 2022-08-11 Yuankun Fu , Fengguang Song

Graphics Processing Units (GPUs) are being used in many areas of physics, since the performance versus cost is very attractive. The GPUs can be addressed by CUDA which is a NVIDIA's parallel computing architecture. It enables dramatic…

高能物理 - 格点 · 物理学 2012-10-12 Nuno Cardoso , Marco Cardoso , Pedro Bicudo

We present the first GPU-based conjugate gradient (CG) solver for lattice QCD with domain-wall fermions (DWF). It is well-known that CG is the most time-consuming part in the Hybrid Monte Carlo simulation of unquenched lattice QCD, which…

高能物理 - 格点 · 物理学 2011-01-04 Ting-Wai Chiu , Tung-Han Hsieh , Yao-Yuan Mao , Kenji Ogawa

We report on our implementation of LatticeQCD applications using OpenCL. We focus on the general concept and on distributing different parts on hybrid systems, consisting of both CPUs (Central Processing Units) and GPUs (Graphic Processing…

高能物理 - 格点 · 物理学 2011-12-23 Matthias Bach , Owe Philipsen , Christopher Pinke , Christian Schäfer , Lars Zeidlewicz

We test an algebraic algorithm based on the coordinate-space method, evaluating with high accuracy the critical mass for Wilson fermions in lattice QCD at two loops. We test the results by using different types of infrared regularization.

高能物理 - 格点 · 物理学 2007-05-23 Sergio Caracciolo , Andrea Pelissetto , Antonio Rago

Managing the high computational cost of iterative solvers for sparse linear systems is a known challenge in scientific computing. Moreover, scientific applications often face memory bandwidth constraints, making it critical to optimize data…

分布式、并行与集群计算 · 计算机科学 2026-01-12 Shiting Long , Gustavo Ramirez-Hidalgo , Stepan Nassyr , Jose Jimenez-Merchan , Andreas Frommer , Dirk Pleiter

We study aspects concerning numerical simulations of Lattice QCD with two flavors of dynamical Ginsparg-Wilson quarks with degenerate masses. A Hybrid Monte Carlo algorithm is described and the formula for the fermionic force is derived for…

高能物理 - 格点 · 物理学 2009-10-31 Chuan Liu

A lattice gauge theory framework for simulations on graphic processing units (GPUs) using NVIDIA's CUDA is presented. The code comprises template classes that take care of an optimal data pattern to ensure coalesced reading from device…

高能物理 - 格点 · 物理学 2013-05-16 Mario Schröck , Hannes Vogt

Computing platforms equipped with accelerators like GPUs have proven to provide great computational power. However, exploiting such platforms for existing scientific applications is not a trivial task. Current GPU programming frameworks…

高能物理 - 格点 · 物理学 2014-08-27 F. T. Winter , M. A. Clark , R. G. Edwards , B. Joó