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The increasing availability of GPUs for scientific computing has prompted interest in accelerating quantum chemical calculations through their use. The complexity of integral kernels for high angular momentum basis functions however often…

Following recent interest in correctly rounded math library functions (as currently recommended by the IEEE 754 standard), we have designed several SIMD algorithms for one-input single precision functions and integrated them into our CPU…

Mathematical Software · Computer Science 2026-05-18 Cristina Anderson , Marius Cornea , Andrey Stepin , Mihai Tudor Panu

In this paper we propose a mixed precision algorithm in the context of the semi-Lagrangian discontinuous Galerkin method. The performance of this approach is evaluated on a traditional dual socket workstation as well as on a Xeon Phi and an…

Mathematical Software · Computer Science 2018-08-14 Lukas Einkemmer

This study evaluates AoS-to-SoA transformations over reduced-precision data layouts for a particle simulation code on several GPU platforms: We hypothesize that SoA fits particularly well to SIMT, while AoS is the preferred storage format…

Programming Languages · Computer Science 2025-12-08 Pawel K. Radtke , Tobias Weinzierl

Molecular dynamics (MD) simulation is a powerful computational tool to study the behavior of macromolecular systems. But many simulations of this field are limited in spatial or temporal scale by the available computational resource. In…

Computational Physics · Physics 2010-01-22 Ji Xu , Ying Ren , Wei Ge , Xiang Yu , Xiaozhen Yang , Jinghai Li

Bloom filters are a fundamental data structure for approximate membership queries, with applications ranging from data analytics to databases and genomics. Several variants have been proposed to accommodate parallel architectures. GPUs,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-18 Daniel Jünger , Kevin Kristensen , Yunsong Wang , Xiangyao Yu , Bertil Schmidt

In this paper, we describe the algorithms we implemented in FDPS to make efficient use of accelerator hardware such as GPGPUs. We have developed FDPS to make it possible for many researchers to develop their own high-performance parallel…

Instrumentation and Methods for Astrophysics · Physics 2020-02-12 Masaki Iwasawa , Daisuke Namekata , Keigo Nitadori , Kentaro Nomura , Long Wang , Miyuki Tsubouchi , Junichiro Makino

The recent trend of using Graphics Processing Units (GPU's) for high performance computations is driven by the high ratio of price performance for these units, complemented by their cost effectiveness. At first glance, computational fluid…

Computational Engineering, Finance, and Science · Computer Science 2018-02-13 Kiril S. Shterev

Processing-using-DRAM has been proposed for a limited set of basic operations (i.e., logic operations, addition). However, in order to enable the full adoption of processing-using-DRAM, it is necessary to provide support for more complex…

The minimum degree algorithm is one of the most widely-used heuristics for reducing the cost of solving large sparse systems of linear equations. It has been studied for nearly half a century and has a rich history of bridging techniques…

Data Structures and Algorithms · Computer Science 2023-04-11 Robert Cummings , Matthew Fahrbach , Animesh Fatehpuria

Recent advancements in quantization and mixed-precision approaches offers substantial opportunities to improve the speed and energy efficiency of Neural Networks (NN). Research has shown that individual parameters with varying low…

Hardware Architecture · Computer Science 2024-08-14 Giorgos Armeniakos , Alexis Maras , Sotirios Xydis , Dimitrios Soudris

This paper introduces a fast Central Processing Unit (CPU) implementation of geodesic morphological operations using stream processing. In contrast to the current state-of-the-art, that focuses on achieving insensitivity to the filter sizes…

Performance · Computer Science 2019-12-02 Danijel Žlaus , Domen Mongus

This paper presents software implementations of batch computations, dealing with multi-precision integer operations. In this work, we use the Single Instruction Multiple Data (SIMD) AVX512 instruction set of the x86-64 processors, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-25 Laurent-Stéphane Didier , Nadia Mrabet , Léa Glandus , Jean-Marc Robert

We present the basic idea, implementation, measured performance and performance model of FDPS (Framework for developing particle simulators). FDPS is an application-development framework which helps the researchers to develop particle-based…

Instrumentation and Methods for Astrophysics · Physics 2016-06-15 Masaki Iwasawa , Ataru Tanikawa , Natsuki Hosono , Keigo Nitadori , Takayuki Muranushi , Junichiro Makino

The ever-increasing size and computational complexity of today's machine-learning algorithms pose an increasing strain on the underlying hardware. In this light, novel and dedicated architectural solutions are required to optimize energy…

Hardware Architecture · Computer Science 2022-12-20 Pengbo Yu , Alexandre Levisse , Mohit Gupta , Evenblij Timon , Giovanni Ansaloni , Francky Catthoor , David Atienza

Density functionals at the level of the Generalized Gradient Approximation (GGA) and a plane-wave basis set are widely used today to perform ab initio molecular dynamics (AIMD) simulations. Going up in the ladder of accuracy of density…

Computational Physics · Physics 2021-10-18 Sagarmoy Mandal , Ritama Kar , Tobias Kloeffel , Bernd Meyer , Nisanth N. Nair

This paper presents efficient algorithms, designed to leverage SIMD for performing Montgomery reductions and additions on integers larger than 512 bits. The existing algorithms encounter inefficiencies when parallelized using SIMD due to…

Cryptography and Security · Computer Science 2023-09-01 Pengchang Ren , Reiji Suda , Vorapong Suppakitpaisarn

Dataflow-oriented spatial architectures are the emerging paradigm for higher computation performance and efficiency. AMD Versal AI Engine is a commercial spatial architecture consisting of tiles of VLIW processors supporting SIMD operations…

Hardware Architecture · Computer Science 2025-02-18 Kotaro Shimamura , Ayumi Ohno , Shinya Takamaeda-Yamazaki

The task of integrating a large number of independent ODE systems arises in various scientific and engineering areas. For nonstiff systems, common explicit integration algorithms can be used on GPUs, where individual GPU threads…

Mathematical Software · Computer Science 2016-11-09 Kyle E Niemeyer , Chih-Jen Sung

The simulation of the two-dimensional Ising model is used as a benchmark to show the computational capabilities of Graphic Processing Units (GPUs). The rich programming environment now available on GPUs and flexible hardware capabilities…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-26 Joshua Romero , Mauro Bisson , Massimiliano Fatica , Massimo Bernaschi