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The standard kinetic Monte Carlo algorithm is an extremely efficient method to carry out serial simulations of dynamical processes such as thin-film growth. However, in some cases it is necessary to study systems over extended time and…

材料科学 · 物理学 2007-05-23 Yunsic Shim , Jacques G. Amar

Several classic problems in graph processing and computational geometry are solved via incremental algorithms, which split computation into a series of small tasks acting on shared state, which gets updated progressively. While the…

数据结构与算法 · 计算机科学 2020-03-24 Dan Alistarh , Nikita Koval , Giorgi Nadiradze

We describe an algorithm for dynamic load balancing of geometrically parallelized synchronous Monte Carlo simulations of physical models. This algorithm is designed for a (heterogeneous) multiprocessor system of the MIMD type with…

高能物理 - 格点 · 物理学 2009-10-22 P. Altevogt , A. Linke

We develop a parallel rejection algorithm to tackle the problem of low acceptance in Monte Carlo methods, and apply it to the simulation of the hopping conduction in Coulomb glasses using Graphics Processing Units, for which we also…

无序系统与神经网络 · 物理学 2014-08-19 Ezequiel E. Ferrero , Alejandro B. Kolton , Matteo Palassini

A new parallel algorithm for simulating Ising spin systems is presented. The sequential prototype is the n-fold way algorithm cite{BKL75}, which is efficient but is hard to parallelize using conservative methods. Our parallel algorithm is…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Boris Lubachevsky , Alan Weiss

Numerical studies of shock waves in large scale systems via kinetic simulations with millions of particles are too computationally demanding to be processed in serial. In this work we focus on optimizing the parallel performance of a…

The physics of crystalline membranes, i.e. fixed-connectivity surfaces embedded in three dimensions and with an extrinsic curvature term, is very rich and of great theoretical interest. To understand their behavior, numerical simulations…

计算物理 · 物理学 2009-10-30 G. Thorleifsson , M. Falcioni

In this paper we study from a numerical analysis perspective the Fractional Step Kinetic Monte Carlo (FS-KMC) algorithms proposed in [1] for the parallel simulation of spatially distributed particle systems on a lattice. FS-KMC are…

数值分析 · 数学 2012-08-07 Giorgos Arampatzis , Markos A. Katsoulakis , Petr Plechac

The scalability of massively parallel algorithms is a fundamental question in computer science. We study the scalability and the efficiency of a conservative massively parallel algorithm for discrete-event simulations where the discrete…

统计力学 · 物理学 2007-05-23 G. Korniss , M. A. Novotny , Z. Toroczkai , P. A. Rikvold

We describe an asynchronous parallel stochastic coordinate descent algorithm for minimizing smooth unconstrained or separably constrained functions. The method achieves a linear convergence rate on functions that satisfy an essential strong…

最优化与控制 · 数学 2014-11-12 Ji Liu , Stephen J. Wright , Christopher Ré , Victor Bittorf , Srikrishna Sridhar

We present a mathematical framework for constructing and analyzing parallel algorithms for lattice Kinetic Monte Carlo (KMC) simulations. The resulting algorithms have the capacity to simulate a wide range of spatio-temporal scales in…

An extension of the synchronous parallel kinetic Monte Carlo (pkMC) algorithm developed by Martinez {\it et al} [{\it J.\ Comp.\ Phys.} {\bf 227} (2008) 3804] to discrete lattices is presented. The method solves the master equation…

统计力学 · 物理学 2015-05-19 Enrique Martinez , Paul R Monasterio , Jaime Marian

Markov chain Monte Carlo is an inherently serial algorithm. Although likelihood calculations for individual steps can sometimes be parallelized, the serial evolution of the process is widely viewed as incompatible with parallelization,…

统计计算 · 统计学 2013-12-31 Douglas N. VanDerwerken , Scott C. Schmidler

There has been significant progress in understanding the parallelism inherent to iterative sequential algorithms: for many classic algorithms, the depth of the dependence structure is now well understood, and scheduling techniques have been…

数据结构与算法 · 计算机科学 2018-08-14 Dan Alistarh , Trevor Brown , Justin Kopinsky , Giorgi Nadiradze

We introduce and analyze a parallel sequential Monte Carlo methodology for the numerical solution of optimization problems that involve the minimization of a cost function that consists of the sum of many individual components. The proposed…

统计计算 · 统计学 2022-01-04 Ömer Deniz Akyildiz , Dan Crisan , Joaquín Míguez

We present an optimized version of a cluster labeling algorithm previously introduced by the authors. This algorithm is well suited for large-scale Monte Carlo simulations of spin models using cluster dynamics on parallel computers with…

高能物理 - 格点 · 物理学 2015-06-25 M. Flanigan , P. Tamayo

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

计算物理 · 物理学 2013-11-20 R. Meyer

We experiment with a massively parallel implementation of an algorithm for simulating the dynamics of metastable decay in kinetic Ising models. The parallel scheme is directly applicable to a wide range of stochastic cellular automata where…

统计力学 · 物理学 2009-10-31 G. Korniss , M. A. Novotny , P. A. Rikvold

Due to a hard dependency between time steps, large-scale simulations of gas using the Direct Simulation Monte Carlo (DSMC) method proceed at the pace of the slowest processor. Scalability is therefore achievable only by ensuring that the…

分布式、并行与集群计算 · 计算机科学 2019-02-19 William McDoniel , Paolo Bientinesi

Efficient implementations of the classical molecular dynamics (MD) method for Lennard-Jones particle systems are considered. Not only general algorithms but also techniques that are efficient for some specific CPU architectures are also…

统计力学 · 物理学 2015-03-17 H. Watanabe , M. Suzuki , N. Ito
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