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This paper presents the benchmarking and scaling studies of a GPU accelerated three dimensional compressible magnetohydrodynamic code. The code is developed keeping an eye to explain the large and intermediate scale magnetic field…

We present an efficient implementation of ab initio many-body quantum embedding and local correlation methods for infinite periodic systems through translational symmetry adapted interpolative separable density fitting, an approach which…

Strongly Correlated Electrons · Physics 2026-01-26 Junjie Yang , Ning Zhang , Shunyue Yuan , Jincheng Yu , Hong-Zhou Ye , Garnet Chan

The task of multi-dimensional numerical integration is frequently encountered in physics and other scientific fields, e.g., in modeling the effects of systematic uncertainties in physical systems and in Bayesian parameter estimation.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-22 Ioannis Sakiotis , Kamesh Arumugam , Marc Paterno , Desh Ranjan , Balsa Terzic , Mohammad Zubair

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

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

This paper shows the development of a multi-GPU version of a time-explicit finite volume solver for the Shallow-Water Equations (SWE) on a multi-GPU architecture. MPI is combined with CUDA-Fortran in order to use as many GPUs as needed. The…

Computational Physics · Physics 2023-03-03 Vincent Delmas , Azzedine Soulaïmani

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

Multi-output Gaussian processes (MOGPs) leverage the flexibility and interpretability of GPs while capturing structure across outputs, which is desirable, for example, in spatio-temporal modelling. The key problem with MOGPs is their…

Machine Learning · Statistics 2020-07-20 Wessel P. Bruinsma , Eric Perim , Will Tebbutt , J. Scott Hosking , Arno Solin , Richard E. Turner

Markov Chain Monte Carlo methods are algorithms used to sample probability distributions, commonly used to sample the Boltzmann distribution of physical/chemical models (e.g., protein folding, Ising model, etc.). This allows us to study…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-04 Aingeru Ramos , Jose A Pascual , Javier Navaridas , Ivan Coluzza

We develop SOS-RILT-MP2, an efficient Gaussian-based periodic scaled opposite-spin second-order M{\o}ller-Plesset perturbation theory (SOS-MP2) algorithm that utilizes the resolution-of-the-identity approximation (RI) combined with the…

Chemical Physics · Physics 2025-03-27 Idan Haritan , Xiao Wang , Tamar Goldzak

Modern compute nodes in high-performance computing provide a tremendous level of parallelism and processing power. However, as arithmetic performance has been observed to increase at a faster rate relative to memory and network bandwidths,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-11 Johannes Pekkilä , Miikka S. Väisälä , Maarit J. Käpylä , Matthias Rheinhardt , Oskar Lappi

Maximal Biclique Enumeration (MBE) holds critical importance in graph theory with applications extending across fields such as bioinformatics, social networks, and recommendation systems. However, its computational complexity presents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-23 Chou-Ying Hsieh , Chia-Ming Chang , Po-Hsiu Cheng , Sy-Yen Kuo

GPU computing is expected to play an integral part in all modern Exascale supercomputers. It is also expected that higher order Godunov schemes will make up about a significant fraction of the application mix on such supercomputers. It is,…

Numerical Analysis · Mathematics 2023-04-06 Sethupathy Subramanian , Dinshaw S. Balsara , Deepak Bhoriya , Harish Kumar

We present teraflop-scale calculations of biomolecular electrostatics enabled by the combination of algorithmic and hardware acceleration. The algorithmic acceleration is achieved with the fast multipole method (FMM) in conjunction with a…

Computational Engineering, Finance, and Science · Computer Science 2011-09-21 Rio Yokota , Jaydeep P. Bardhan , Matthew G. Knepley , L. A. Barba , Tsuyoshi Hamada

iPIC3D is a widely used massively parallel Particle-in-Cell code for the simulation of space plasmas. However, its current implementation does not support execution on multiple GPUs. In this paper, we describe the porting of iPIC3D particle…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-27 Chaitanya Prasad Sishtla , Steven W. D. Chien , Vyacheslav Olshevsky , Erwin Laure , Stefano Markidis

Unstructured-mesh based numerical algorithms such as finite volume and finite element algorithms form an important class of applications for many scientific and engineering domains. The key difficulty in achieving higher performance from…

Mathematical Software · Computer Science 2019-07-30 András Attila Sulyok , Gábor Dániel Balogh , István Zoltán Reguly , Gihan R. Mudalige

Stochastic differential equations (SDEs) are widely used to model systems affected by random processes. In general, the analysis of an SDE model requires numerical solutions to be generated many times over multiple parameter combinations.…

Mathematical Software · Computer Science 2020-02-19 Eleftherios Avramidis , Marta Lalik , Ozgur E. Akman

$N$-body simulation serves as a critical method for modeling cosmic evolution and poses a significant challenge in high-performance computing. We present CUBE2, an open-source cosmological $N$-body code emphasizing memory efficiency,…

Instrumentation and Methods for Astrophysics · Physics 2026-03-05 Hao-Ran Yu , Bing-Hang Chen , Kun Xu , Ming-Jie Sheng , Jiaxin Han , Yipeng Jing , Huahua Cui

We present the GPU calculation with the common unified device architecture (CUDA) for the Wolff single-cluster algorithm of the Ising model. Proposing an algorithm for a quasi-block synchronization, we realize the Wolff single-cluster Monte…

Computational Physics · Physics 2012-01-10 Yukihiro Komura , Yutaka Okabe

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