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Multiplication of a sparse matrix to a dense matrix (SpDM) is widely used in many areas like scientific computing and machine learning. However, existing works under-look the performance optimization of SpDM on modern many-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-01 Shaohuai Shi , Qiang Wang , Xiaowen Chu

This paper proposes a projection-based implicit modeling method (PIMM) for functionally graded lattice optimization, which does not require any homogenization techniques. In this method, a parametric projection function is proposed to link…

Computational Physics · Physics 2020-08-18 Hao Deng , Albert C. To

Several possibilities exist to implement the propagation step of the lattice Boltzmann method. This paper describes common implementations which are compared according to the number of memory transfer operations they require per lattice…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-09 Markus Wittmann , Thomas Zeiser , Georg Hager , Gerhard Wellein

We investigate the performance of the HemeLB lattice-Boltzmann simulator for cerebrovascular blood flow, aimed at providing timely and clinically relevant assistance to neurosurgeons. HemeLB is optimised for sparse geometries, supports…

We report an implementation of the lattice Boltzmann method (LBM) to integrate the Bloch-Torrey equation, which describes the evolution of the transverse magnetization vector and the fate of the signal of diffusion magnetic resonance…

Medical Physics · Physics 2020-10-14 Noel M. Naughton , Caroline G. Tennyson , John G. Georgiadis

Lattice Boltzmann Methods (LBM) stand out for their simplicity and computational efficiency while offering the possibility of simulating complex phenomena. While they are optimal for Cartesian meshes, adapted meshes have traditionally been…

Numerical Analysis · Mathematics 2022-02-28 Loïc Gouarin , Benjamin Graille , Marc Massot , Thomas Bellotti

Numerical simulation results of basic exactly solvable fluid flows using the previously proposed Lattice Boltzmann Method (LBM) formulated on a general curvilinear coordinate system are presented. As was noted in the theoretical work of H.…

Fluid Dynamics · Physics 2023-01-12 Alexei Chekhlov , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

Existing methods for fine-tuning sparse LLMs often suffer from resource-intensive requirements and high retraining costs. Additionally, many fine-tuning methods often rely on approximations or heuristic optimization strategies, which may…

Machine Learning · Computer Science 2024-02-21 Song Guo , Fan Wu , Lei Zhang , Xiawu Zheng , Shengchuan Zhang , Fei Chao , Yiyu Shi , Rongrong Ji

We present Graphite, a GPU-accelerated nonlinear least squares graph optimization framework. It provides a CUDA C++ interface to enable the sharing of code between a real-time application, such as a SLAM system, and its optimization tasks.…

Robotics · Computer Science 2026-03-17 Shishir Gopinath , Karthik Dantu , Steven Y. Ko

Four different kinds of laminar flows between two parallel plates are investigated using the Lattice Boltzmann Method (LBM). The LBM accuracy is estimated in two cases using numerical fits of the parabolic velocity profiles and the kinetic…

comp-gas · Physics 2009-10-28 Bela Szilagyi , Romeo Susan -- Resiga , Victor Sofonea

In this paper we present a parallelization strategy on distributed memory systems for the Fast Kinetic Scheme --- a semi-Lagrangian scheme developed in [J. Comput. Phys., Vol. 255, 2013, pp 680-698] for solving kinetic equations. The…

Numerical Analysis · Mathematics 2017-01-09 Jacek Narski

In this paper, first, a hardware-friendly pruning algorithm for reducing energy consumption and improving the speed of Long Short-Term Memory (LSTM) neural network accelerators is presented. Next, an FPGA-based platform for efficient…

Hardware Architecture · Computer Science 2021-01-08 Seyed Abolfazl Ghasemzadeh , Erfan Bank Tavakoli , Mehdi Kamal , Ali Afzali-Kusha , Massoud Pedram

The lattice Boltzmann method (LBM) is a numerical approach to tackle problems described by a Boltzmann type-equation, where time, space, and velocities are discretized to describe scattering and advection. Even though the LBM executes…

Computational Physics · Physics 2020-09-10 René Hammer , Verena Fritz , Natalia Bedoya-Martínez

We discuss the state of art of Lattice Boltzmann (LB) computing, with special focus on prospective LB schemes capable of meeting the forthcoming Exascale challenge. After reviewing the basic notions of LB computing, we discuss current…

Computational Physics · Physics 2020-06-14 Sauro Succi , Giorgio Amati , Massimo Bernaschi , Giacomo Falcucci , Marco Lauricella , Andrea Montessori

Intel Optane DC Persistent Memory (Optane PMM) is a new kind of byte-addressable memory with higher density and lower cost than DRAM. This enables the design of affordable systems that support up to 6TB of randomly accessible memory. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-25 Gurbinder Gill , Roshan Dathathri , Loc Hoang , Ramesh Peri , Keshav Pingali

Large language models (LLMs) have been widely applied but face challenges in efficient inference. While quantization methods reduce computational demands, ultra-low bit quantization with arbitrary precision is hindered by limited GPU Tensor…

Machine Learning · Computer Science 2025-03-14 Shaobo Ma , Chao Fang , Haikuo Shao , Zhongfeng Wang

With a sufficiently fine discretisation, the Lattice Boltzmann Method (LBM) mimics a second order Crank-Nicolson scheme for certain types of balance laws (Farag et al. [2021]). This allows the explicit, highly parallelisable LBM to…

Computational Engineering, Finance, and Science · Computer Science 2023-07-27 Erik Faust , Alexander Schlüter , Henning Müller , Ralf Müller

We assess the performance of the hybrid Open Accelerator (OpenACC) and Message Passing Interface (MPI) approach for multi-graphics processing units (GPUs) accelerated thermal lattice Boltzmann (LB) simulation. The OpenACC accelerates…

Fluid Dynamics · Physics 2022-11-21 Ao Xu , Bo-Tao Li

Transformer based Large Language Models (LLMs) have been widely used in many fields, and the efficiency of LLM inference becomes hot topic in real applications. However, LLMs are usually complicatedly designed in model structure with…

Hardware Architecture · Computer Science 2024-06-25 Hui Wu , Yi Gan , Feng Yuan , Jing Ma , Wei Zhu , Yutao Xu , Hong Zhu , Yuhua Zhu , Xiaoli Liu , Jinghui Gu , Peng Zhao

We derive the partial differential equation (PDE) to which the pseudo-potential lattice Boltzmann method (P-LBM) converges under diffusive scaling, providing a rigorous basis for its consistency analysis. By establishing a direct link…