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We describe the use of Graphics Processing Units (GPUs) for speeding up the code NBODY6 which is widely used for direct $N$-body simulations. Over the years, the $N^2$ nature of the direct force calculation has proved a barrier for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Keigo Nitadori , Sverre J. Aarseth

k-means is a widely used clustering algorithm, but for $k$ clusters and a dataset size of $N$, each iteration of Lloyd's algorithm costs $O(kN)$ time. Although there are existing techniques to accelerate single Lloyd iterations, none of…

Data Structures and Algorithms · Computer Science 2016-01-18 Ryan R. Curtin

In this paper, we describe the implementation and performance of GreeM, a massively parallel TreePM code for large-scale cosmological N-body simulations. GreeM uses a recursive multi-section algorithm for domain decomposition. The size of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Tomoaki Ishiyama , Toshiyuki Fukushige , Junichiro Makino

In this paper, we propose a novel method to compute triangle counting on GPUs. Unlike previous formulations of graph matching, our approach is BFS-based by traversing the graph in an all-source-BFS manner and thus can be mapped onto GPUs in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-06 Leyuan Wang , John D. Owens

We present a new adaptive parallel algorithm for the challenging problem of multi-dimensional numerical integration on massively parallel architectures. Adaptive algorithms have demonstrated the best performance, but efficient many-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-24 Ioannis Sakiotis , Kamesh Arumugam , Marc Paterno , Desh Ranjan , Balša Terzić , Mohammad Zubair

We propose BS-tree, an in-memory implementation of the B+-tree that adopts the structure of the disk-based index (i.e., a balanced, multiway tree), setting the node size to a memory block that can be processed fast and in parallel using…

Databases · Computer Science 2025-11-14 Dimitrios Tsitsigkos , Achilleas Michalopoulos , Nikos Mamoulis , Manolis Terrovitis

As an entry for the 2012 Gordon-Bell performance prize, we report performance results of astrophysical N-body simulations of one trillion particles performed on the full system of K computer. This is the first gravitational trillion-body…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-14 Tomoaki Ishiyama , Keigo Nitadori , Junichiro Makino

As in various fields like scientific research and industrial application, the computation time optimization is becoming a task that is of increasing importance because of its highly parallel architecture. The graphics processing unit is…

Performance · Computer Science 2017-10-18 Huichao Hong , Lixin Zheng , Shuwan Pan

In this paper we solve on GPUs massive problems with large amount of data, which are not appropriate for solution with the SIMD technology. For the given problem we consider a three-level parallelization. The multithreading of CPU is used…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-18 Natalya Litvinenko

Discontinuous Galerkin (dG) methods on meshes consisting of polygonal/polyhedral (henceforth, collectively termed as \emph{polytopic}) elements have received considerable attention in recent years. Due to the physical frame basis functions…

Numerical Analysis · Mathematics 2021-02-16 Zhaonan Dong , Emmanuil H. Georgoulis , Thomas Kappas

A heterogeneous CPU-GPU node is getting popular in HPC clusters. We need to rethink algorithms and optimization techniques for such system depending on the relative performance of CPU vs. GPU. In this paper, we report a performance…

Instrumentation and Methods for Astrophysics · Physics 2012-06-07 Naohito Nakasato , Go Ogiya , Yohei Miki , Masao Mori , Ken'ichi Nomoto

We describe a parallel, cosmological N-body code based on a hybrid scheme using the particle-mesh (PM) and Barnes-Hut (BH) oct-tree algorithm. We call the algorithm GOTPM for Grid-of-Oct-Trees-Particle-Mesh. The code is parallelized using…

Astrophysics · Physics 2015-06-24 John Dubinski , Juhan Kim , Changbom Park , Robin Humble

This paper is aimed at improving the performance of the treecode algorithm for N-Body simulation by employing the NetSolve GridRPC programming model to exploit the use of multiple clusters. N-Body is a classical problem, and appears in many…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-13 Truong Vinh Truong Duy , Katsuhiro Yamazaki , Shigeru Oyanagi

Computing fixed-radius near-neighbor graphs is an important first step for many data analysis algorithms. Near-neighbor graphs connect points that are close under some metric, endowing point clouds with a combinatorial structure. As…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-17 Gabriel Raulet , Dmitriy Morozov , Aydin Buluc , Katherine Yelick

We consider online algorithms for the $k$-server problem on trees. There is a $k$-competitive algorithm for this problem, and it is the best competitive ratio. M. Chrobak and L. Larmore provided it. At the same time, the existing…

Data Structures and Algorithms · Computer Science 2022-05-02 Kamil Khadiev , Maxim Yagafarov

Deep Neural Network guided Monte-Carlo Tree Search (DNN-MCTS) is a powerful class of AI algorithms. In DNN-MCTS, a Deep Neural Network model is trained collaboratively with a dynamic Monte-Carlo search tree to guide the agent towards…

Performance · Computer Science 2023-10-10 Yuan Meng , Qian Wang , Tianxin Zu , Viktor Prasanna

Graphics Processing Units (GPUs) have become the standard in accelerating scientific applications on heterogeneous systems. However, as GPUs are getting faster, one potential performance bottleneck with GPU-accelerated applications is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-01 Jonah Ekelund , Stefano Markidis , Ivy Peng

COVID-19 has shown the importance of having a fast response against pandemics. Finding a novel drug is a very long and complex procedure, and it is possible to accelerate the preliminary phases by using computer simulations. In particular,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-13 Emanuele Vitali , Federico Ficarelli , Mauro Bisson , Davide Gadioli , Massimiliano Fatica , Andrea R. Beccari , Gianluca Palermo

We describe a parallel, adaptive, multi-block algorithm for explicit integration of time dependent partial differential equations on two-dimensional Cartesian grids. The grid layout we consider consists of a nested hierarchy of fixed size,…

Mathematical Software · Computer Science 2017-03-10 Donna Calhoun , Carsten Burstedde

In this paper, we develop a new parallel auxiliary grid algebraic multigrid (AMG) method to leverage the power of graphic processing units (GPUs). In the construction of the hierarchical coarse grid, we use a simple and fixed coarsening…

Numerical Analysis · Mathematics 2012-12-07 Lu Wang , Xiaozhe Hu , Jonathan Cohen , Jinchao Xu