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With the rapid adoption of large language models (LLMs) in recommendation systems, the computational and communication bottlenecks caused by their massive parameter sizes and large data volumes have become increasingly prominent. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-25 Haowei Yang , Yu Tian , Zhongheng Yang , Zhao Wang , Chengrui Zhou , Dannier Li

We discuss the distributed matching scheme in accelerators where control of transverse beam phase space, oscillation, and transport is accomplished by flexible distribution of focusing elements beyond dedicated matching sections. Besides…

Accelerator Physics · Physics 2018-08-07 Yu-Chiu Chao

All simulation approaches eventually face limits in computational scalability when applied to large spatiotemporal domains. This challenge becomes especially apparent in molecular-level particle simulations, where high spatial and temporal…

Computational Physics · Physics 2025-10-23 Matthias Busch , Gregor Häfner , Jiayu Xie , Marius Tacke , Marcus Müller , Christian J. Cyron , Roland C. Aydin

Mosaic Flow is a novel domain decomposition method designed to scale physics-informed neural PDE solvers to large domains. Its unique approach leverages pre-trained networks on small domains to solve partial differential equations on large…

Machine Learning · Computer Science 2023-08-29 Arthur Feeney , Zitong Li , Ramin Bostanabad , Aparna Chandramowlishwaran

The multi-level hp-refinement scheme is a powerful extension of the finite element method that allows local mesh adaptation without the trouble of constraining hanging nodes. This is achieved through hierarchical high-order overlay meshes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-05 John N. Jomo , Nils Zander , Mohamed Elhaddad , Ali Özcan , Stefan Kollmannsberger , Ralf-Peter Mundani , Ernst Rank

We present a parallel version of the well-known Split-Step Fourier method (SSF) for solving the Nonlinear Schr\"odinger equation, a mathematical model describing wave packet propagation in fiber optic lines. The algorithm is implemented…

Computational Physics · Physics 2007-05-23 S. M. Zoldi , V. Ruban , A. Zenchuk , S. Burtsev

In this paper, we propose a parallel-in-time algorithm for approximately solving parabolic equations. In particular, we apply the $k$-step backward differentiation formula, and then develop an iterative solver by using the waveform…

Numerical Analysis · Mathematics 2021-06-04 Shuonan Wu , Zhi Zhou

This paper proposes a control algorithm for stable implementation of asynchronous parallel quadratic programming (PQP) through dual decomposition technique. In general, distributed and parallel optimization requires synchronization of data…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Kooktae Lee

This paper presents the first parallel implementation of the novel "Interpolated Factored Green Function" (IFGF) method introduced recently for the accelerated evaluation of discrete integral operators arising in wave scattering and other…

Numerical Analysis · Mathematics 2022-05-12 Christoph Bauinger , Oscar P. Bruno

Embedded system performances are bounded by power consumption. The trend is to offload greedy computations on hardware accelerators as GPU, Xeon Phi or FPGA. FPGA chips combine both flexibility of programmable chips and energy-efficiency of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Christophe Alias

Solving multiscale diffusion problems is often computationally expensive due to the spatial and temporal discretization challenges arising from high-contrast coefficients. To address this issue, a partially explicit temporal splitting…

Numerical Analysis · Mathematics 2026-02-26 Yating Wang , Zhengya Yang , Wing Tat Leung

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

Data Structures and Algorithms · Computer Science 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

Multiresolution Matrix Factorization (MMF) was recently introduced as a method for finding multiscale structure and defining wavelets on graphs/matrices. In this paper we derive pMMF, a parallel algorithm for computing the MMF…

Numerical Analysis · Computer Science 2015-07-17 Risi Kondor , Nedelina Teneva , Pramod K. Mudrakarta

This article describes a geometric partitioning software that can be used for quick computation of data partitions on many-core HPC machines. It is most suited for dynamic applications with load distributions that vary with time.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-19 Aparna Sasidharan

Starting from the single graphics processing unit (GPU) version of the Smoothed Particle Hydrodynamics (SPH) code DualSPHysics, a multi-GPU SPH program is developed for free-surface flows. The approach is based on a spatial decomposition…

Computational Physics · Physics 2012-10-04 Daniel Valdez-Balderas , José M. Domínguez , Benedict D. Rogers , Alejandro J. C. Crespo

We demonstrate neural-network runtime prediction for complex, many-parameter, massively parallel, heterogeneous-physics simulations running on cloud-based MPI clusters. Because individual simulations are so expensive, it is crucial to train…

Computational Physics · Physics 2020-10-08 Ardavan Oskooi , Christopher Hogan , Alec M. Hammond , M. T. Homer Reid , Steven G. Johnson

Physics-Informed Neural Networks (PINNs) offer a powerful paradigm for flow reconstruction, seamlessly integrating sparse velocity measurements with the governing Navier-Stokes equations to recover complete velocity and latent pressure…

Machine Learning · Computer Science 2026-02-19 Yixiao Qian , Jiaxu Liu , Zewei Xia , Song Chen , Chao Xu , Shengze Cai

The general scheme of two-level parallelization (TLP) for direct simulation Monte Carlo of unsteady gas flows on shared memory multiprocessor computers has been described. The high efficient algorithm of parallel independent runs is used on…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexander V. Bogdanov , Nick Yu. Bykov , Igor A. Grishin , Gregory O. Khanlarov , German A. Lukianov , Vladimir V. Zakharov

This paper concerns development of a high-performance implementation of the Particle-in-Cell method for plasma simulation on Intel Xeon Phi coprocessors. We discuss suitability of the method for Xeon Phi architecture and present our…

Computational Physics · Physics 2016-08-05 I. A. Surmin , S. I. Bastrakov , E. S. Efimenko , A. A. Gonoskov , A. V. Korzhimanov , I. B. Meyerov

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…

Computational Physics · Physics 2013-11-20 R. Meyer
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