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Smoothed Particle Hydrodynamics (SPH) is essential for modeling complex large-deformation problems across various applications, requiring significant computational power. A major portion of SPH computation time is dedicated to the Nearest…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Zirui Mao , Xinyi Li , Shenyang Hu , Ganesh Gopalakrishnan , Ang Li

Domain decomposition has been shown to be a computationally efficient distributed method for solving large scale entropic optimal transport problems. However, a naive implementation of the algorithm can freeze in the limit of very fine…

Numerical Analysis · Mathematics 2025-03-28 Ismael Medina , Bernhard Schmitzer

We present the new parallel version (pCRASH2) of the cosmological radiative transfer code CRASH2 for distributed memory supercomputing facilities. The code is based on a static domain decomposition strategy inspired by geometric dilution of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Adrian M. Partl , Antonella Maselli , Benedetta Ciardi , Andrea Ferrara , Volker Müller

In recent decades, High Performance Computing (HPC) has undergone significant enhancements, particularly in the realm of hardware platforms, aimed at delivering increased processing power while keeping power consumption within reasonable…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-03 S. -Kazem Shekofteh , Christian Alles , Nils Kochendörfer , Holger Fröning

We describe a new implementation of a parallel Tree-SPH code with the aim to simulate Galaxy Formation and Evolution. The code has been parallelized using SHMEM, a Cray proprietary library to handle communications between the 256 processors…

Astrophysics · Physics 2009-10-31 Cesario Lia , Giovanni Carraro

We describe a version of an algorithm for evolving self-gravitating collections of particles that should be nearly ideal for parallel architectures. Our method is derived from the ``self-consistent field'' (SCF) approach suggested…

Astrophysics · Physics 2016-08-30 Lars Hernquist , Steinn Sigurdsson , Greg L. Bryan

This paper is devoted to computational algorithms designed to describe the classical Ising magnet in some specific cases when an additional macroscopic restriction in form of constant charge density exists in the system. We developed and…

Computational Physics · Physics 2023-01-30 K. S. Budrin , V. A. Ulitko , A. A. Chikov , Yu. D. Panov , A. S. Moskvin

We equip dynamic geometry software (DGS) with a user-friendly method that enables massively parallel calculations on the graphics processing unit (GPU). This interplay of DGS and GPU opens up various applications in education and…

Mathematical Software · Computer Science 2018-08-15 Aaron Montag , Jürgen Richter-Gebert

The Graphics Processing Unit (GPU) is a powerful tool for parallel computing. In the past years the performance and capabilities of GPUs have increased, and the Compute Unified Device Architecture (CUDA) - a parallel computing architecture…

Computational Physics · Physics 2009-12-17 Ferenc Molnar , Tamas Szakaly , Robert Meszaros , Istvan Lagzi

We test the performances of two different approaches to the computation of forces for molecular dynamics simulations on Graphics Processing Units. A "vertex-based" approach, where a computing thread is started per particle, is compared to a…

Computational Physics · Physics 2014-10-01 Lorenzo Rovigatti , Petr Šulc , István Z. Reguly , Flavio Romano

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

Data Structures and Algorithms · Computer Science 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

Parallel computing is a standard approach to achieving high-performance computing (HPC). Three commonly used methods to implement parallel computing include: 1) applying multithreading technology on single-core or multi-core CPUs; 2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Xinyao Yi

Scalable and efficient numerical simulations continue to gain importance, as computation is firmly established as the third pillar of discovery, alongside theory and experiment. Meanwhile, the performance of computing hardware grows through…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-26 Pietro Incardona , Antonio Leo , Yaroslav Zaluzhnyi , Rajesh Ramaswamy , Ivo F. Sbalzarini

Graph coloring is often used in parallelizing scientific computations that run in distributed and multi-GPU environments; it identifies sets of independent data that can be updated in parallel. Many algorithms exist for graph coloring on a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-02 Ian Bogle , Erik G Boman , Karen D Devine , Sivasankaran Rajamanickam , George M Slota

We propose a novel Skew Gradient Embedding (SGE) framework for systematically reformulating thermodynamically consistent partial differential equation (PDE) models-capturing both reversible and irreversible processes-as generalized gradient…

Numerical Analysis · Mathematics 2025-09-24 Xuelong Gu , Qi Wang

In this article, a new generic higher-order finite-element framework for massively parallel simulations is presented. The modular software architecture is carefully designed to exploit the resources of modern and future supercomputers.…

Mathematical Software · Computer Science 2018-05-28 Nils Kohl , Dominik Thönnes , Daniel Drzisga , Dominik Bartuschat , Ulrich Rüde

Diffusion models have achieved great success in synthesizing high-quality images. However, generating high-resolution images with diffusion models is still challenging due to the enormous computational costs, resulting in a prohibitive…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Muyang Li , Tianle Cai , Jiaxin Cao , Qinsheng Zhang , Han Cai , Junjie Bai , Yangqing Jia , Ming-Yu Liu , Kai Li , Song Han

This paper presents a framework that supports the implementation of parallel solutions for the widespread parametric maximum flow computational routines used in image segmentation algorithms. The framework is based on supergraphs, a special…

Computer Vision and Pattern Recognition · Computer Science 2015-12-08 Vlad Olaru , Mihai Florea , Cristian Sminchisescu

The numerical solution of large-scale PDEs, such as those occurring in data-driven applications, unavoidably require powerful parallel computers and tailored parallel algorithms to make the best possible use of them. In fact, considerations…

Numerical Analysis · Mathematics 2017-05-11 Francisco Bernal , Gonçalo dos Reis , Greig Smith

Sparse linear systems are typically solved using preconditioned iterative methods, but applying preconditioners via sparse triangular solves introduces bottlenecks due to irregular memory accesses and data dependencies. This work leverages…

Performance · Computer Science 2025-08-08 Atharva Gondhalekar , Kjetil Haugen , Thomas Gibson , Wu-chun Feng