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The Preconditioned Conjugate Gradient (PCG) method is widely used for solving linear systems of equations with sparse matrices. A recent version of PCG, Pipelined PCG, eliminates the dependencies in the computations of the PCG algorithm so…

分布式、并行与集群计算 · 计算机科学 2021-05-14 Manasi Tiwari , Sathish Vadhiyar

With high computation power and memory bandwidth, graphics processing units (GPUs) lend themselves to accelerate data-intensive analytics, especially when such applications fit the single instruction multiple data (SIMD) model. However,…

分布式、并行与集群计算 · 计算机科学 2018-12-12 Hang Liu , H. Howie Huang

The complexity of combustion simulations demands the latest high-performance computing tools to accelerate its time-to-solution results. A current trend on HPC systems is the utilization of CPUs with SIMD or vector extensions to exploit…

分布式、并行与集群计算 · 计算机科学 2022-10-24 Fabio Banchelli , Guillermo Oyarzun , Marta Garcia-Gasulla , Filippo Mantovani , Ambrus Both , Guillaume Houzeaux , Daniel Mira

Simulating large-scale microswimmer dynamics in viscous fluid poses significant challenges due to the coupled high spatial and temporal complexity. Conventional high-performance computing (HPC) methods often address these two dimensions in…

分布式、并行与集群计算 · 计算机科学 2026-04-15 Ruixiang Huang , Weifan Liu

This paper proposes a combination of a hybrid CPU--GPU and a pure GPU software implementation of a direct algorithm for solving shifted linear systems $(A - \sigma I)X = B$ with large number of complex shifts $\sigma$ and multiple…

数学软件 · 计算机科学 2017-08-24 Nela Bosner , Zvonimir Bujanović , Zlatko Drmač

We describe a strategy for code modernisation of Gadget, a widely used community code for computational astrophysics. The focus of this work is on node-level performance optimisation, targeting current multi/many-core IntelR architectures.…

分布式、并行与集群计算 · 计算机科学 2017-09-27 Fabio Baruffa , Luigi Iapichino , Nicolay J. Hammer , Vasileios Karakasis

The trend towards highly parallel multi-processing is ubiquitous in all modern computer architectures, ranging from handheld devices to large-scale HPC systems; yet many applications are struggling to fully utilise the multiple levels of…

分布式、并行与集群计算 · 计算机科学 2013-07-19 Michael Lange , Gerard Gorman , Michele Weiland , Lawrence Mitchell , Xiaohu Guo , James Southern

The goal of this work is to parallelize the multistep scheme for the numerical approximation of the backward stochastic differential equations (BSDEs) in order to achieve both, a high accuracy and a reduction of the computation time as…

分布式、并行与集群计算 · 计算机科学 2024-04-18 Lorenc Kapllani , Long Teng

This article presents an automatic approach to quickly derive a good solution for hardware resource partition and task granularity for task-based parallel applications on heterogeneous many-core architectures. Our approach employs a…

分布式、并行与集群计算 · 计算机科学 2020-03-10 Peng Zhang , Jianbin Fang , Canqun Yang , Chun Huang , Tao Tang , Zheng Wang

Stochastic differential equations (SDEs) are widely used to model systems affected by random processes. In general, the analysis of an SDE model requires numerical solutions to be generated many times over multiple parameter combinations.…

数学软件 · 计算机科学 2020-02-19 Eleftherios Avramidis , Marta Lalik , Ozgur E. Akman

The Variational Quantum Eigensolver (VQE) is a hybrid quantum-classical algorithm for computing ground state energies of molecular systems. We implement VQE to calculate the potential energy surface of the hydrogen molecule (H$_2$) across…

量子物理 · 物理学 2026-01-16 Rylan Malarchick , Ashton Steed

Graphics Processing Unit (GPU) computing is becoming an alternate computing platform for numerical simulations. However, it is not clear which numerical scheme will provide the highest computational efficiency for different types of…

分布式、并行与集群计算 · 计算机科学 2017-09-07 Ben J. Zimmerman , Jonathan D. Regele , Bong Wie

For years, SIMD/vector units have enhanced the capabilities of modern CPUs in High-Performance Computing (HPC) and mobile technology. Typical commercially-available SIMD units process up to 8 double-precision elements with one instruction.…

分布式、并行与集群计算 · 计算机科学 2023-11-14 Pablo Vizcaino , Georgios Ieronymakis , Nikolaos Dimou , Vassilis Papaefstathiou , Jesus Labarta , Filippo Mantovani

Next-generation exascale machines with extreme levels of parallelism will provide massive computing resources for large scale numerical simulations of complex physical systems at unprecedented parameter ranges. However, novel numerical…

The introduction of Intel(R) Xeon Phi(TM) coprocessors opened up new possibilities in development of highly parallel applications. The familiarity and flexibility of the architecture together with compiler support integrated into the Intel…

分布式、并行与集群计算 · 计算机科学 2012-11-26 Jiri Dokulil , Enes Bajrovic , Siegfried Benkner , Sabri Pllana , Martin Sandrieser , Beverly Bachmayer

The conductor-like polarization model (C-PCM) with switching/Gaussian smooth discretization is a widely used implicit solvation model in chemical simulations. However, its application in quantum mechanical calculations of large-scale…

化学物理 · 物理学 2015-07-03 Fang Liu , Nathan Luehr , Heather J. Kulik , Todd J. Martínez

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…

流体动力学 · 物理学 2011-10-25 H. P. Le , J. -L. Cambier

Persistent homology is a crucial invariant that is used in many areas to understand data. The $O(N^4)$ run time is a hindrance to its use on most large datasets. We give a parallelization method to utilize multi-core machines and clusters.…

分布式、并行与集群计算 · 计算机科学 2022-03-10 Michael G. Rawson

This paper focuses on the parallel implementation of a direct $N$-body method~(particle-particle algorithm) and the application of multiple GPUs for galactic dynamics simulations. Application of a hybrid OpenMP-CUDA technology is considered…

计算物理 · 物理学 2018-03-06 S. S. Khrapov , S. A. Khoperskov , A. V. Khoperskov

Many modern parallel computing systems are heterogeneous at their node level. Such nodes may comprise general purpose CPUs and accelerators (such as, GPU, or Intel Xeon Phi) that provide high performance with suitable energy-consumption…

分布式、并行与集群计算 · 计算机科学 2017-04-19 Suejb Memeti , Lu Li , Sabri Pllana , Joanna Kolodziej , Christoph Kessler