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We present an efficient and scalable algorithm for performing matrix-vector multiplications ("matvecs") for block Toeplitz matrices. Such matrices, which are shift-invariant with respect to their blocks, arise in the context of solving…

Numerical Analysis · Mathematics 2025-07-25 Sreeram Venkat , Milinda Fernando , Stefan Henneking , Omar Ghattas

Mixed-precision algorithms have been proposed as a way for scientific computing to benefit from some of the gains seen for artificial intelligence (AI) on recent high performance computing (HPC) platforms. A few applications dominated by…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Aditya Kashi , Nicholson Koukpaizan , Hao Lu , Michael Matheson , Sarp Oral , Feiyi Wang

Leading HPC systems achieve their status through use of highly parallel devices such as NVIDIA GPUs or Intel Xeon Phi many-core CPUs. The concept of performance portability across such architectures, as well as traditional CPUs, is vital…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-10 Alan Gray , Kevin Stratford

An increasingly large number of HPC systems rely on heterogeneous architectures combining traditional multi-core CPUs with power efficient accelerators. Designing efficient applications for these systems has been troublesome in the past as…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-02 E. Calore , A. Gabbana , J. Kraus , S. F. Schifano , R. Tripiccione

As heterogeneous supercomputing architectures leveraging GPUs become increasingly central to high-performance computing (HPC), it is crucial for computational fluid dynamics (CFD) simulations, a de-facto HPC workload, to efficiently utilize…

The use of reduced and mixed precision computing has gained increasing attention in high-performance computing (HPC) as a means to improve computational efficiency, particularly on modern hardware architectures like GPUs. In this work, we…

Computational Engineering, Finance, and Science · Computer Science 2025-05-28 Bálint Siklósi , Pushpender K. Sharma , David J. Lusher , István Z. Reguly , Neil D. Sandham

Graph analytics techniques based on spectral methods process extremely large sparse matrices with millions or even billions of non-zero values. Behind these algorithms lies the Top-K sparse eigenproblem, the computation of the largest…

Hardware Architecture · Computer Science 2022-01-20 Francesco Sgherzi , Alberto Parravicini , Marco Domenico Santambrogio

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-19 Michael Lange , Gerard Gorman , Michele Weiland , Lawrence Mitchell , Xiaohu Guo , James Southern

GPUs are the heart of the latest generations of supercomputers. We efficiently accelerate a compressible multiphase flow solver via OpenACC on NVIDIA and AMD Instinct GPUs. Optimization is accomplished by specifying the directive clauses…

In this paper, we use multithreaded fast Fourier transforms provided in three highly optimized packages, FFTW-2.1.5, FFTW-3.3.7, and Intel MKL FFT, to present a novel model-based parallel computing technique as a very effective and portable…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-17 Semyon Khokhriakov , Ravi Reddy , Alexey Lastovetsky

Mixed-precision quantization is a popular approach for compressing deep neural networks (DNNs). However, it is challenging to scale the performance efficiently with mixed-precision DNNs given the current FPGA architecture and conventional…

Hardware Architecture · Computer Science 2023-11-07 Yuzong Chen , Jordan Dotzel , Mohamed S. Abdelfattah

Fast Fourier Transform (FFT) is an essential tool in scientific and engineering computation. The increasing demand for mixed-precision FFT has made it possible to utilize half-precision floating-point (FP16) arithmetic for faster speed and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-26 Binrui Li , Shenggan Cheng , James Lin

Point-based 3D point cloud models employ computation and memory intensive mapping functions alongside NN layers for classification/segmentation, and are executed on server-grade GPUs. The sparse, and unstructured nature of 3D point cloud…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-30 Amur Saqib Pal , Muhammad Mohsin Ghaffar , Faisal Shafait , Christian Weis , Norbert Wehn

As the performance gains from accelerating quantized matrix multiplication plateau, the softmax operation becomes the critical bottleneck in Transformer inference. This bottleneck stems from two hardware limitations: (1) limited data…

Machine Learning · Computer Science 2026-02-03 Zisheng Ye , Xiaoyu He , Maoyuan Song , Guoliang Qiu , Chao Liao , Chen Wu , Yonggang Sun , Zhichun Li , Xiaoru Xie , Yuanyong Luo , Hu Liu , Pinyan Lu , Heng Liao

Deep neural networks are increasingly bottlenecked by the cost of optimization, both in terms of GPU memory and compute time. Existing acceleration techniques, such as mixed precision, second-order methods, and batch size scaling, are…

Machine Learning · Computer Science 2025-09-03 Mohsen Sheibanian , Pouya Shaeri , Alimohammad Beigi , Ryan T. Woo , Aryan Keluskar

OpenMC is an open source Monte Carlo neutral particle transport application that has recently been ported to GPU using the OpenMP target offloading model. We examine the performance of OpenMC at scale on the Frontier, Polaris, and Aurora…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-20 John Tramm , Paul Romano , Patrick Shriwise , Amanda Lund , Johannes Doerfert , Patrick Steinbrecher , Andrew Siegel , Gavin Ridley

While FPGA accelerator boards and their respective high-level design tools are maturing, there is still a lack of multi-FPGA applications, libraries, and not least, benchmarks and reference implementations towards sustained HPC usage of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-01 Marius Meyer , Tobias Kenter , Christian Plessl

Over recent years heterogeneous systems have become more prevalent across HPC systems, with over 100 supercomputers in the TOP500 incorporating GPUs or other accelerators. These hardware platforms have different performance characteristics…

Performance · Computer Science 2019-04-11 John Lawson , Mehdi Goli , Duncan McBain , Daniel Soutar , Louis Sugy

GPU-based fast Fourier transform (FFT) is extremely important for scientific computing and signal processing. However, we find the inefficiency of existing FFT libraries and the absence of fault tolerance against soft error. To address…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-10 Shixun Wu , Yujia Zhai , Jinyang Liu , Jiajun Huang , Zizhe Jian , Huangliang Dai , Sheng Di , Franck Cappello , Zizhong Chen

In recent years, topology optimization (TO) has gained widespread attention as a powerful structural design method. However, its application remains challenging due to the deep expertise and extensive development effort required.…

Analysis of PDEs · Mathematics 2025-05-06 Liang He , Huayi Wei , Tian Tian
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