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In this paper, we propose an orbital iteration based parallel approach for electronic structure calculations. This approach is based on our understanding of the single-particle equations of independent particles that move in an effective…

数值分析 · 数学 2014-11-06 Xiaoying Dai , Xingao Gong , Aihui Zhou , Jinwei Zhu

The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of partial differential equations such as finite element, finite…

数值分析 · 数学 2021-08-31 Abal-Kassim Cheik Ahamed , Frédéric Magoulès

In this paper we describe and demonstrate a C++ code written to determine the trajectory of particles traversing oriented single crystals and a CUDA code written to evaluate the radiation spectra from charged particles with arbitrary…

计算物理 · 物理学 2019-10-24 Christian Flohr Nielsen

The scale and complexity of quantum system to which real-space quantum Monte Carlo (QMC) can be applied in part depends on the representation and memory usage of the trial wavefunction. B-splines, the computationally most efficient basis…

材料科学 · 物理学 2018-09-05 Ye Luo , Kenneth P. Esler , Paul R. C. Kent , Luke Shulenburger

Monte Carlo simulation is an unbiased numerical tool for studying classical and quantum many-body systems. One of its bottlenecks is the lack of general and efficient update algorithm for large size systems close to phase transition or with…

强关联电子 · 物理学 2017-01-11 Junwei Liu , Yang Qi , Zi Yang Meng , Liang Fu

We introduce $\texttt{GPUmonty}$, a CUDA/C-based Monte Carlo radiative transfer code accelerated using graphics processing units (GPUs). $\texttt{GPUmonty}$ derives from the CPU-based code $\texttt{grmonty}$ and offloads the most…

高能天体物理现象 · 物理学 2026-04-15 Pedro Naethe Motta , Rodrigo Nemmen , Abhishek V. Joshi

B-spline based orbital representations are widely used in Quantum Monte Carlo (QMC) simulations of solids, historically taking as much as 50% of the total run time. Random accesses to a large four-dimensional array make it challenging to…

分布式、并行与集群计算 · 计算机科学 2017-08-10 Amrita Mathuriya , Ye Luo , Anouar Benali , Luke Shulenburger , Jeongnim Kim

The efficiency of boundary element methods depends crucially on the time required for setting up the stiffness matrix. The far-field part of the matrix can be approximated by compression schemes like the fast multipole method or…

数学软件 · 计算机科学 2017-10-19 Steffen Börm , Sven Christophersen

A simple scheme is described for introducing the correct cusps at nuclei into orbitals obtained from Gaussian basis set electronic structure calculations. The scheme is tested with all-electron variational quantum Monte Carlo (VMC) and…

计算物理 · 物理学 2008-01-18 A. Ma , M. D. Towler , N. D. Drummond , R. J. Needs

Maximizing the performance potential of the modern day GPU architecture requires judicious utilization of available parallel resources. Although dramatic reductions can often be obtained through straightforward mappings, further performance…

分布式、并行与集群计算 · 计算机科学 2014-08-19 Loren Schwiebert , Eyad Hailat , Kamel Rushaidat , Jason Mick , Jeffrey Potoff

Quantum circuit simulation is important in the evolution of quantum software and hardware. Novel algorithms can be developed and evaluated by performing quantum circuit simulations on classical computers before physical quantum computers…

量子物理 · 物理学 2024-10-22 Yu-Tsung Wu , Po-Hsuan Huang , Kai-Chieh Chang , Chia-Heng Tu , Shih-Hao Hung

A modern graphics processing unit (GPU) is able to perform massively parallel scientific computations at low cost. We extend our implementation of the checkerboard algorithm for the two dimensional Ising model [T. Preis et al., J. Comp.…

计算物理 · 物理学 2010-07-22 Benjamin Block , Peter Virnau , Tobias Preis

We present an implementation of phaseless Auxiliary-Field Quantum Monte Carlo (ph-AFQMC) utilizing graphical processing units (GPUs). The AFQMC method is recast in terms of matrix operations which are spread across thousands of processing…

计算物理 · 物理学 2018-09-07 James Shee , Evan J. Arthur , Shiwei Zhang , David R. Reichman , Richard A. Friesner

Graphics processing units have been extensively used to accelerate classical molecular dynamics simulations. However, there is much less progress on the acceleration of force evaluations for many-body potentials compared to pairwise ones.…

计算物理 · 物理学 2017-06-27 Zheyong Fan , Wei Chen , Ville Vierimaa , Ari Harju

This paper presents two conceptually simple methods for parallelizing a Parallel Tempering Monte Carlo simulation in a distributed volunteer computing context, where computers belonging to the general public are used. The first method uses…

分布式、并行与集群计算 · 计算机科学 2011-03-31 Kamran Karimi , Neil G. Dickson , Firas Hamze

The computational cost of quantum Monte Carlo (QMC) calculations of realistic periodic systems depends strongly on the method of storing and evaluating the many-particle wave function. Previous work [A. J. Williamson et al., Phys. Rev.…

计算物理 · 物理学 2014-10-31 William D. Parker , C. J. Umrigar , Dario Alfè , Richard G. Hennig , John W. Wilkins

Gaussian Processes have become an indispensable part of the spatial statistician's toolbox but are unsuitable for analyzing large dataset because of the significant time and memory needed to fit the associated model exactly. Vecchia…

统计计算 · 统计学 2025-07-18 Zachary James , Joseph Guinness

We describe the use of Graphics Processing Units (GPUs) for speeding up the code NBODY6 which is widely used for direct $N$-body simulations. Over the years, the $N^2$ nature of the direct force calculation has proved a barrier for…

天体物理仪器与方法 · 物理学 2015-06-05 Keigo Nitadori , Sverre J. Aarseth

We report an efficient algorithm for calculating momentum-space integrals in solid state systems on modern graphics processing units (GPUs). Our algorithm is based on the tetrahedron method, which we demonstrate to be ideally suited for…

计算物理 · 物理学 2018-06-19 Daniel Guterding , Harald O. Jeschke

With large-scale Integral Field Spectroscopy (IFS) surveys of thousands of galaxies currently under-way or planned, the astronomical community is in need of methods, techniques and tools that will allow the analysis of huge amounts of data.…

天体物理仪器与方法 · 物理学 2015-12-22 Georgios Bekiaris , Karl Glazebrook , Christopher J. Fluke , Roberto Abraham