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A parallel numerical simulation algorithm is presented for fractional-order systems involving Caputo-type derivatives, based on the Adams-Bashforth-Moulton (ABM) predictor-corrector scheme. The parallel algorithm is implemented using…

数学软件 · 计算机科学 2017-10-04 Cosmin Bonchis , Eva Kaslik , Florin Rosu

We present a novel approach to the parallelization of the parabolic fast multipole method for a space-time boundary element method for the heat equation. We exploit the special temporal structure of the involved operators to provide an…

数值分析 · 数学 2023-01-31 Raphael Watschinger , Michal Merta , Günther Of , Jan Zapletal

We investigate the performance gains from hyper-systolic implementations of n^2-loop problems on the massively parallel computer Quadrics, exploiting its 3-dimensional interprocessor connectivity. For illustration we study the communication…

高能物理 - 格点 · 物理学 2015-06-25 Th. Lippert , G. Ritzenhöfer , U. Glässner , H. Hoeber , A. Seyfried , K. Schilling

The simulation of ion-atom collisions remains a formidable challenge due to the complex interplay between electronic and nuclear degrees of freedom. We present a hybrid quantum-classical computing framework for simulating time-dependent…

量子物理 · 物理学 2026-02-03 Minchen Qiao , Yu-xi Liu

We present a new parallel model of computation suitable for spatial architectures, for which the energy used for communication heavily depends on the distance of the communicating processors. In our model, processors have locations on a…

数据结构与算法 · 计算机科学 2023-01-18 Lukas Gianinazzi , Tal Ben-Nun , Maciej Besta , Saleh Ashkboos , Yves Baumann , Piotr Luczynski , Torsten Hoefler

A fully parallel version of the contact dynamics (CD) method is presented in this paper. For large enough systems, 100% efficiency has been demonstrated for up to 256 processors using a hierarchical domain decomposition with dynamic load…

软凝聚态物质 · 物理学 2015-03-19 Zahra Shojaaee , M. Reza Shaebani , Lothar Brendel , János Török , Dietrich E. Wolf

Stochastic, spatial reaction-diffusion simulations have been widely used in systems biology and computational neuroscience. However, the increasing scale and complexity of simulated models and morphologies have exceeded the capacity of any…

定量方法 · 定量生物学 2016-10-10 Weiliang Chen , Erik De Schutter

Numerical solution of partial differential equations on parallel computers using domain decomposition usually requires synchronization and communication among the processors. These operations often have a significant overhead in terms of…

分布式、并行与集群计算 · 计算机科学 2023-01-11 Soumyadip Ghosh , Jiacai Lu , Vijay Gupta , Gretar Tryggvason

In this paper, we present a parallel computing method for the coupled-cluster singles and doubles (CCSD) in periodic systems. The CCSD in periodic systems solves simultaneous equations for single-excitation and double-excitation amplitudes.…

强关联电子 · 物理学 2019-11-04 Takumi Yamashita , Taichi Kosugi , Yu-ichiro Matsushita , Tetsuya Sakurai

An efficient computational scheme devised for investigations of ground state properties of the electronically correlated systems is presented. As an example, $(H_{2})_{n}$ chain is considered with the long-range electron-electron…

强关联电子 · 物理学 2015-12-24 Andrzej Biborski , Andrzej P. Kądzielawa , Józef Spałek

This paper presents our work on developing parallel computational methods for two-phase flow on modern parallel computers, where techniques for linear solvers and nonlinear methods are studied and the standard and inexact Newton methods are…

计算工程、金融与科学 · 计算机科学 2017-01-24 Hui Liu , Lihua Shen , Yan Chen , Kun Wang , Bo Yang , Zhangxin Chen

Particle collisions are the primary mechanism of inter-particle momentum and energy exchange for dense particle-laden flow. Accurate approximation of this collision operator in four-way coupled Euler-Lagrange approaches remains challenging…

计算物理 · 物理学 2025-01-10 Anna Schwarz , Patrick Kopper , Emilian De Staercke , Andrea Beck

Massively parallel computer architectures create new opportunities for the performance of long-timescale molecular dynamics (MD) simulations. Here, we introduce the path-accelerated molecular dynamics (PAMD) method that takes advantage of…

计算物理 · 物理学 2021-01-11 Jorge L. Rosa-Raíces , Bin Zhang , Thomas F. Miller

Message Passing Interface (MPI) is widely used to implement parallel programs. Although Windowsbased architectures provide the facilities of parallel execution and multi-threading, little attention has been focused on using MPI on these…

分布式、并行与集群计算 · 计算机科学 2011-05-31 Alaa Ismail Elnashar

We present quantum dynamics of collisions between two para-H2 molecules from low (1 mK) to high collision energies (1 eV). The calculations are carried out using a quantum scattering code that solves the time-independent Schrodinger…

化学物理 · 物理学 2009-03-18 Goulven Quéméner , Naduvalath Balakrishnan

A novel parallel algorithm for matrix multiplication is presented. The hyper-systolic algorithm makes use of a one-dimensional processor abstraction. The procedure can be implemented on all types of parallel systems. It can handle…

数学软件 · 计算机科学 2007-05-23 Thomas Lippert , Nikolay Petkov , Paolo Palazzari , Klaus Schilling

The objective of this research is to construct parallel implementations of the Jacobi algorithm used for the solution of linear algebraic systems, to measure their speedup with respect to the serial case and to compare each other, regarding…

分布式、并行与集群计算 · 计算机科学 2014-03-27 Athanasios Margaris , Stauros Souravlas , Manos Roumeliotis

We discuss the possibility of implementing asynchronous replica-exchange (or parallel tempering) molecular dynamics. In our scheme, the exchange attempts are driven by asynchronous messages sent by one of the computing nodes, so that…

计算物理 · 物理学 2009-11-23 Giovanni Bussi

We provide a mathematically proven parallelization scheme for particle methods on distributed-memory computer systems. Particle methods are a versatile and widely used class of algorithms for computer simulations and numerical predictions…

分布式、并行与集群计算 · 计算机科学 2024-01-05 Johannes Pahlke , Ivo F. Sbalzarini

This article presents new algorithms for massively parallel granular dynamics simulations on distributed memory architectures using a domain partitioning approach. Collisions are modelled with hard contacts in order to hide their…

计算工程、金融与科学 · 计算机科学 2015-01-26 Tobias Preclik , Ulrich Rüde