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This paper focuses on reducing memory usage in enumerative model checking, while maintaining the multi-core scalability obtained in earlier work. We present a tree-based multi-core compression method, which works by leveraging sharing among…

Data Structures and Algorithms · Computer Science 2011-05-17 Alfons Laarman , Jaco van de Pol , Michael Weber

A merge tree is a topological descriptor of a real-valued function. Merge trees are used in visualization and topological data analysis, either directly or as a means to another end: computing a 0-dimensional persistence diagram,…

Computational Geometry · Computer Science 2023-01-31 Arnur Nigmetov , Dmitriy Morozov

The paper presents a numerical implementation of the gravitational N-body problem with contact interactions between non-spherically shaped bodies. The work builds up on a previous implementation of the code and extends its capabilities. The…

Earth and Planetary Astrophysics · Physics 2019-12-11 F. Ferrari , M. Lavagna , E. Blazquez

This paper investigates the execution of tree-shaped task graphs using multiple processors. Each edge of such a tree represents some large data. A task can only be executed if all input and output data fit into memory, and a data can only…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-02 Lionel Eyraud-Dubois , Loris Marchal , Oliver Sinnen , Frédéric Vivien

We present approximation algorithms for the following NP-hard optimization problems related to bottleneck spanning trees in metric spaces. 1. The disjoint bottleneck spanning tree problem: Given $n$ pairs of points in a metric space, find…

Computational Geometry · Computer Science 2021-11-11 Ahmad Biniaz , Anil Maheshwari , Michiel Smid

We developed a new direct-tree hybrid N-body algorithm for fully self-consistent N-body simulations of star clusters in their parent galaxies. In such simulations, star clusters need high accuracy, while galaxies need a fast scheme because…

Astrophysics · Physics 2015-05-13 M. Fujii , M. Iwasawa , Y. Funato , J. Makino

Human coders assign standardized medical codes to clinical documents generated during patients' hospitalization, which is error-prone and labor-intensive. Automated medical coding approaches have been developed using machine learning…

Computation and Language · Computer Science 2022-09-13 Wei Sun , Shaoxiong Ji , Erik Cambria , Pekka Marttinen

This paper gives a new algorithm for sampling tree-weighted partitions of a large class of planar graphs. Formally, the tree-weighted distribution on $k$-partitions of a graph weights $k$-partitions proportional to the product of the number…

Data Structures and Algorithms · Computer Science 2026-05-08 Sarah Cannon , Topher Pankow , Wesley Pegden , Jamie Tucker-Foltz

High precision atomic data is indispensable for experiments involving studies of fundamental interactions, astrophysics, atomic clocks, plasma science, and others. We develop new parallel atomic structure codes and explore the difficulties…

Atomic Physics · Physics 2021-03-11 C. Cheung , M. S. Safronova , S. G. Porsev

We present an MPI-parallel algorithm for the in-situ visualization of computational data that is built around a distributed linear forest-of-octrees data structure. Such octrees are frequently used in element-based numerical simulations;…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-06 Carsten Burstedde

Collision detection of a large number N of particles can be challenging. Directly testing N particles for collision among each other leads to N 2 queries. Especially in scenarios, where fast, densely packed particles interact, challenges…

Computational Physics · Physics 2016-08-04 Oliver Jansen , Emmanuel d'Humières , Xavier Ribeyre , Sophie Jequier , Vladimir Tikhonchuk

Distributing spatially located heterogeneous workloads is an important problem in parallel scientific computing. We investigate the problem of partitioning such workloads (represented as a matrix of non-negative integers) into rectangles,…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-14 Erik Saule , Erdeniz Ö. Baş , Ümit V. Çatalyürek

This paper presents a fast, economical particle-multiple-mesh N-body code optimized for large-N modelling of collisionless dynamical processes, such as black-hole wandering or bar-halo interactions, occurring within isolated galaxies. The…

Astrophysics · Physics 2007-11-07 John Magorrian

A parallel computer system is a collection of processing elements that communicate and cooperate to solve large computational problems efficiently. To achieve this, at first the large computational problem is partitioned into several tasks…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-09 Ardhendu Mandal , Subhas Chandra Pal

Electromagnetic computations, where the wavelength is small in relation to the geometry of interest, become computationally demanding. In order to manage computations for realistic problems like electromagnetic scattering from aircraft, the…

Computational Engineering, Finance, and Science · Computer Science 2018-01-12 Afshin Zafari , Elisabeth Larsson , Marco Righero , M. Alessandro Francavilla , Giorgio Giordanengo , Francesca Vipiana , Giuseppe Vecchi

A kernel-independent treecode (KITC) is presented for fast summation of particle interactions. The method employs barycentric Lagrange interpolation at Chebyshev points to approximate well-separated particle-cluster interactions. The KITC…

Numerical Analysis · Mathematics 2021-11-24 Lei Wang , Robert Krasny , Svetlana Tlupova

Coded distributed computing has been considered as a promising technique which makes large-scale systems robust to the "straggler" workers. Yet, practical system models for distributed computing have not been available that reflect the…

Information Theory · Computer Science 2019-01-17 Muah Kim , Jy-yong Sohn , Jaekyun Moon

The kd-tree is a fundamental tool in computer science. Among others, an application of the kd-tree search (oct-tree method) to fast evaluation of particle interactions and neighbor search is highly important since computational complexity…

Instrumentation and Methods for Astrophysics · Physics 2009-09-04 N. Nakasato

This paper presents an accurate density computation approach for large dark matter simulations, based on a recently introduced phase-space tessellation technique and designed for massively parallel, heterogeneous cluster architectures. We…

Computational Physics · Physics 2017-08-28 Ralf Kaehler

We present a new C++ code for collisional N-body simulations of star clusters. The code uses the Hermite fourth-order scheme with block time steps, for advancing the particles in time, while the forces and neighboring particles are computed…

Instrumentation and Methods for Astrophysics · Physics 2010-11-08 Simos Konstantinidis , Kostas D. Kokkotas
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