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Related papers: Adaptive algebraic multigrid on SIMD architectures

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Fully realizing the potential of multigrid solvers often requires custom algorithms for a given application model, discretizations and even regimes of interest, despite considerable effort from the applied math community to develop fully…

Plasma Physics · Physics 2023-02-22 Mark F. Adams , Matthew K. Knepley

Many contemporary studies utilize grid-based models for neural field representation, but a systematic analysis of grid-based models is still missing, hindering the improvement of those models. Therefore, this paper introduces a theoretical…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Zelin Zhao , Fenglei Fan , Wenlong Liao , Junchi Yan

Kinetic Particle In Cell (PIC) methods can extend greatly their range of applicability if implicit time differencing and spatial adaption are used to address the wide range of time and length scales typical of plasmas. For implicit…

Plasma Physics · Physics 2008-06-05 Giovanni Lapenta

We give a fault tolerant construction for error correction and computation using two punctured quantum Reed-Muller (PQRM) codes. In particular, we consider the $[[127,1,15]]$ self-dual doubly-even code that has transversal Clifford gates…

Quantum Physics · Physics 2024-11-01 Anqi Gong , Joseph M. Renes

We report on the latest additions to our open-source, block-grid adaptive framework MPI-AMRVAC, which is a general toolkit for especially hyperbolic/parabolic partial differential equations (PDEs). Applications traditionally focused on…

Instrumentation and Methods for Astrophysics · Physics 2020-04-08 Rony Keppens , Jannis Teunissen , Chun Xia , Oliver Porth

We present a family of spacetree-based multigrid realizations using the tree's multiscale nature to derive coarse grids. They align with matrix-free geometric multigrid solvers as they never assemble the system matrices which is cumbersome…

Numerical Analysis · Computer Science 2018-03-13 Marion Weinzierl , Tobias Weinzierl

Large-scale multiple-input and multiple-output (MIMO) systems are capable of achieving high date rate. However, given the high hardware cost and excessive power consumption of massive MIMO systems, as a remedy, intelligent metasurfaces have…

Information Theory · Computer Science 2024-05-17 Qingchao Li , Mohammed El-Hajjar , Chao Xu , Jiancheng An , Chau Yuen , Lajos Hanzo

With the continued growth in field-programmable gate array (FPGA) capacity and their incorporation into new environments such as datacenters, we have witnessed the introduction of a new class of reconfigurable acceleration devices (RADs)…

Hardware Architecture · Computer Science 2023-01-13 Andrew Boutros , Eriko Nurvitadhi , Vaughn Betz

Hardware/Software (HW/SW) co-designed processors provide a promising solution to the power and complexity problems of the modern microprocessors by keeping their hardware simple. Moreover, they employ several runtime optimizations to…

Hardware Architecture · Computer Science 2021-03-01 Rakesh Kumar , Alejandro Martinez , Antonio Gonzalez

This paper presents implementation details and empirical results for a hybrid message passing and shared memory paralleliziation of the adaptive integral method (AIM). AIM is implemented on a (near) petaflop supercomputing cluster of…

Computational Engineering, Finance, and Science · Computer Science 2010-10-08 Fangzhou Wei , Ali E. Yılmaz

Knill demonstrated a fault-tolerant quantum computation scheme based on concatenated error-detecting codes and postselection with a simulated error threshold of 3% over the depolarizing channel. %We design a two-dimensional architecture for…

Quantum Physics · Physics 2013-11-20 Ching-Yi Lai , Gerardo Paz , Martin Suchara , Todd A. Brun

Energy consumption is increasingly becoming a limiting factor to the design of faster large-scale parallel systems, and development of energy-efficient and energy-aware applications is today a relevant issue for HPC code-developer…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-06 E. Calore , A. Gabbana , S. F. Schifano , R. Tripiccione

In this paper we describe a single-node, double precision Field Programmable Gate Array (FPGA) implementation of the Conjugate Gradient algorithm in the context of Lattice Quantum Chromodynamics. As a benchmark of our proposal we invert…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-05 Grzegorz Korcyl , Piotr Korcyl

With the continuously increasing integration level, manycore processor systems are likely to be the coming system structure not only in HPC but also for desktop or mobile systems. Nowadays manycore processors like Tilera TILE, KALRAY MPPA…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-14 Oliver Mattes , Wolfgang Karl

Hyperdimensional computing (HDC), utilizing a parallel computing paradigm and efficient learning algorithm, is well-suited for resource-constrained artificial intelligence (AI) applications, such as in edge devices. In-memory computing…

Emerging Technologies · Computer Science 2025-12-25 Yi Huang , Alireza Jaberi Rad , Qiangfei Xia

Algebraic multigrid (AMG) methods are among the most efficient solvers for linear systems of equations and they are widely used for the solution of problems stemming from the discretization of Partial Differential Equations (PDEs). The most…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Paola F. Antonietti , Luca Dede'

Network-assisted full-duplex (NAFD) distributed massive multiple input multiple output (M-MIMO) enables the in-band full-duplex with existing half-duplex devices at the network level, which exceptionally improves spectral efficiency. This…

Information Theory · Computer Science 2023-06-21 Xiangning Song , Zhenhao Ji , Jiamin Li , Pengcheng Zhu , Dongming Wang , Xiaohu You

We present a high-performance N-body code for self-gravitating collisional systems accelerated with the aid of a new SIMD instruction set extension of the x86 architecture: Advanced Vector eXtensions (AVX), an enhanced version of the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Ataru Tanikawa , Kohji Yoshikawa , Takashi Okamoto , Keigo Nitadori

We study COMP-AMS, a distributed optimization framework based on gradient averaging and adaptive AMSGrad algorithm. Gradient compression with error feedback is applied to reduce the communication cost in the gradient transmission process.…

Machine Learning · Statistics 2022-05-12 Xiaoyun Li , Belhal Karimi , Ping Li

One significant advantage of superconducting processors is their extensive design flexibility, which encompasses various types of qubits and interactions. Given the large number of tunable parameters of a processor, the ability to perform…

Quantum Physics · Physics 2025-04-25 Ziang Wang , Feng Wu , Hui-Hai Zhao , Xin Wan , Xiaotong Ni
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