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We show how to accelerate the direct solution of the Boltzmann equation using Graphics Processing Units (GPUs). In order to fully exploit the computational power of the GPU, we choose a method of solution which combines a finite difference…

Computational Physics · Physics 2011-08-18 Aldo Frezzotti , Gian Pietro Ghiroldi , Livio Gibelli

Current AI code generation systems suffer from significant latency bottlenecks due to CPU-GPU data transfers during compilation, execution, and testing phases. We establish theoretical foundations for three complementary approaches to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-15 Adilet Metinov , Gulida M. Kudakeeva , Gulnara D. Kabaeva

Recent years have witnessed a rapid advancement in GPU technology, establishing it as a formidable high-performance parallel computing technology with superior floating-point computational capabilities compared to traditional CPUs. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-18 Xinyao Yi , Yuxin Qiao

It is well known since 1960s that by exploring the tensor product structure of the discrete Laplacian on Cartesian meshes, one can develop a simple direct Poisson solver with an $\mathcal O(N^{\frac{d+1}d})$ complexity in d-dimension, where…

Numerical Analysis · Mathematics 2024-06-13 Xinyu Liu , Jie Shen , Xiangxiong Zhang

Usage of GPUs as co-processors is a well-established approach to accelerate costly algorithms operating on matrices and vectors. We aim to further improve the performance of the Global Neutrino Analysis framework (GNA) by adding GPU support…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-23 Anna Fatkina , Maxim Gonchar , Liudmila Kolupaeva , Dmitry Naumov , Konstantin Treskov

General-purpose Computing on Graphics Processing Units (GPGPU) has been introduced to many areas of scientific research such as bioinformatics, cryptography, computer vision, and deep learning. However, computing models in the High-energy…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-23 Max Isacson , Mattias Ellert , Richard Brenner

We developed a high-speed image reduction pipeline using Graphics Processing Units (GPUs) as hardware accelerators. Astronomers desire detecting EM counterpart of gravitational-wave sources as soon as possible for sharing positional…

Instrumentation and Methods for Astrophysics · Physics 2020-10-14 Masafumi Niwano , Katsuhiro L. Murata , Ryo Adachi , Sili Wang , Yutaro Tachibana , Youichi Yatsu , Nobuyuki Kawai , Takashi Shimokawabe , Ryousuke Itoh

The Uniform Manifold Approximation and Projection (UMAP) algorithm has become widely popular for its ease of use, quality of results, and support for exploratory, unsupervised, supervised, and semi-supervised learning. While many algorithms…

Machine Learning · Computer Science 2021-03-30 Corey J. Nolet , Victor Lafargue , Edward Raff , Thejaswi Nanditale , Tim Oates , John Zedlewski , Joshua Patterson

This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. The discrete equations are solved using a matrix-free preconditioned conjugate gradient algorithm. An…

Computational Engineering, Finance, and Science · Computer Science 2016-09-21 J. -F. Remacle , R. Gandham , T. Warburton

This dissertation presents the design, implementation and evaluation of GPU-accelerated simulation frameworks for Evolutionary Spatial Cyclic Games (ESCGs), a class of agent-based models used to study ecological and evolutionary dynamics.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 Louie Sinadjan

Modern graphics processing units (GPUs) provide impressive computing resources, which can be accessed conveniently through the CUDA programming interface. We describe how GPUs can be used to considerably speed up molecular dynamics (MD)…

Computational Physics · Physics 2011-04-08 Peter H. Colberg , Felix Höfling

We describe our contribution as industrial stakeholders to the existing open-source GPU4PySCF project (https: //github.com/pyscf/gpu4pyscf), a GPU-accelerated Python quantum chemistry package. We have integrated GPU acceleration into other…

Particle accelerator modeling is an important field of research and development, essential to investigating, designing and operating some of the most complex scientific devices ever built. Kinetic simulations of relativistic, charged…

Accelerator Physics · Physics 2024-05-02 Ryan T. Sandberg , Remi Lehe , Chad E. Mitchell , Marco Garten , Andrew Myers , Ji Qiang , Jean-Luc Vay , Axel Huebl

Optimization plays a central role in modern radiation therapy, where it is used to determine optimal treatment machine parameters in order to deliver precise doses adapted to each patient case. In general, solving the optimization problems…

Optimization and Control · Mathematics 2024-05-07 Felix Liu , Albin Fredriksson , Stefano Markidis

Gradient boosting decision trees (GBDTs) have seen widespread adoption in academia, industry and competitive data science due to their state-of-the-art performance in many machine learning tasks. One relative downside to these models is the…

Machine Learning · Computer Science 2019-01-18 Andreea Anghel , Nikolaos Papandreou , Thomas Parnell , Alessandro De Palma , Haralampos Pozidis

The matrix element (ME) calculation in any Monte Carlo physics event generator is an ideal fit for implementing data parallelism with lockstep processing on GPUs and vector CPUs. For complex physics processes where the ME calculation is the…

We show that numerical computations based on tensor renormalization group (TRG) methods can be significantly accelerated with PyTorch on graphics processing units (GPUs) by leveraging NVIDIA's Compute Unified Device Architecture (CUDA). We…

High Energy Physics - Lattice · Physics 2023-09-26 Raghav G. Jha , Abhishek Samlodia

There are two distinct approaches to speeding up large parallel computers. The older method is the General Purpose Graphics Processing Units (GPGPU). The newer is the Many Integrated Core (MIC) technology . Here we attempt to focus on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-18 Janusz Kowalik , Piotr Arłukowicz , Erika Parsons

Realistic reservoir simulation is known to be prohibitively expensive in terms of computation time when increasing the accuracy of the simulation or by enlarging the model grid size. One method to address this issue is to parallelize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Tong Dong Qiu , Andreas Thune , Vinicius Oliveira Martins , Markus Blatt , Alf Birger Rustad , Razvan Nane

This paper focuses on the parallel implementation of a direct $N$-body method~(particle-particle algorithm) and the application of multiple GPUs for galactic dynamics simulations. Application of a hybrid OpenMP-CUDA technology is considered…

Computational Physics · Physics 2018-03-06 S. S. Khrapov , S. A. Khoperskov , A. V. Khoperskov