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Now a days many algorithms are invented or being inventing to find the solution for Euclidean Minimum Spanning Tree, EMST, problem, as its applicability is increasing in much wide range of fields containing spatial or spatio temporal data…

性能 · 计算机科学 2012-10-24 Hazarath Munaga , Venkata Jarugumalli

Dual-tree algorithms are a widely used class of branch-and-bound algorithms. Unfortunately, developing dual-tree algorithms for use with different trees and problems is often complex and burdensome. We introduce a four-part logical split:…

数据结构与算法 · 计算机科学 2013-04-17 Ryan R. Curtin , William B. March , Parikshit Ram , David V. Anderson , Alexander G. Gray , Charles L. Isbell

Structure identification in cosmological simulations plays an important role in analysing simulation outputs. The definition of these structures directly impacts the inferred properties derived from these simulations. This paper proposes a…

星系天体物理 · 物理学 2025-01-16 Robel Geda , Romain Teyssier

We extend the four-dimensional unsubtraction method, which is based on the loop-tree duality (LTD), to deal with processes involving heavy particles. The method allows to perform the summation over degenerate IR configurations directly at…

高能物理 - 唯象学 · 物理学 2016-11-23 German F. R. Sborlini , Felix Driencourt-Mangin , German Rodrigo

We present tests of comparison between our versions of the Fast Multipole Algorithm (FMA) and ``classic'' tree-code to evaluate gravitational forces in particle systems. We have optimized the Greengard's original version of FMA allowing for…

天体物理学 · 物理学 2016-08-30 R. Capuzzo-Dolcetta , P. Miocchi

We propose a hybrid tree algorithm for reducing calculation and communication cost of collision-less N-body simulations. The concept of our algorithm is that we split interaction force into two parts: hard-force from neighbor particles and…

天体物理仪器与方法 · 物理学 2014-06-25 Tsuyoshi Watanabe , Naohito Nakasato

We show how to efficiently simulate a quantum many-body system with tree structure when its entanglement is bounded for any bipartite split along an edge of the tree. This is achieved by expanding the {\em time-evolving block decimation}…

量子物理 · 物理学 2009-11-11 Yaoyun Shi , Luming Duan , Guifre Vidal

N-body algorithms for long-range unscreened interactions like gravity belong to a class of highly irregular problems whose optimal solution is a challenging task for present-day massively parallel computers. In this paper we describe a…

计算物理 · 物理学 2009-10-30 U. Becciani , R. Ansaloni , V. Antonuccio-Delogu , G. Erbacci , M. Gambera , A. Pagliaro , -

Cosmological simulations of structures and galaxies formations have played a fundamental role in the study of the origin, formation and evolution of the Universe. These studies improved enormously with the use of supercomputers and parallel…

天体物理学 · 物理学 2010-11-11 U. Becciani , V. Antonuccio , M. Comparato

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…

天体物理学 · 物理学 2007-11-07 John Magorrian

The interaction of a small object with surrounding plasma is an area of plasma-physics research with a multitude of applications. This paper introduces the plasma octree code pot, a microscopic simulator of a spheroidal dust grain in a…

等离子体物理 · 物理学 2016-12-21 D. M. Thomas , J. T. Holgate

Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Combining the use of our data structure for characterizing feasible packings with our new classes of…

数据结构与算法 · 计算机科学 2007-05-23 Sandor P. Fekete , Joerg Schepers , Jan C. van der Veen

We give a 2-approximation algorithm for the Maximum Agreement Forest problem on two rooted binary trees. This NP-hard problem has been studied extensively in the past two decades, since it can be used to compute the rooted Subtree…

数据结构与算法 · 计算机科学 2018-11-15 Neil Olver , Frans Schalekamp , Suzanne van der Ster , Leen Stougie , Anke van Zuylen

Contour trees describe the topology of level sets in scalar fields and are widely used in topological data analysis and visualization. A main challenge of utilizing contour trees for large-scale scientific data is their computation at scale…

计算几何 · 计算机科学 2024-10-01 Mingzhe Li , Hamish Carr , Oliver Rübel , Bei Wang , Gunther H. Weber

The present work attempts to integrate the independent efforts in the fast N-body community to create the fastest N-body library for many-core and heterogenous architectures. Focus is placed on low accuracy optimizations, in response to the…

数值分析 · 计算机科学 2012-09-20 Rio Yokota

We have developed a parallel Particle-Particle, Particle-Mesh (P3M) simulation code for the Cray T3E parallel supercomputer that is well suited to studying the time evolution of systems of particles interacting via gravity and gas forces in…

天体物理学 · 物理学 2009-10-30 Tom MacFarland , H. M. P. Couchman , F. R. Pearce , Jakob Pichlmeier

We have implemented a parallel version of the Barnes-Hut 3-D N-body tree algorithm under PVM 3.2.5, adopting an SPMD paradigm. We parallelize the problem by decomposing the physical domain by means of the {\bf Orthogonal Recursive…

天体物理学 · 物理学 2007-05-23 V. Antonuccio-Delogu , U. Becciani

Neighborhood algorithms may take a considerable percentage of computer time in discrete element methods (DEM). While the sort-and-sweep algorithm is ideal in some ways, as it only deal with particles whose relative positions change in one…

计算物理 · 物理学 2026-03-06 Dominik Krengel , Yuki Watanabe , Ko Kandori , Jian Chen , Hans-Georg Matuttis

Tree tensor networks (TTNs) are widely used in low-rank approximation and quantum many-body simulation. In this work, we present a formal analysis of the differential geometry underlying TTNs. Building on this foundation, we develop…

最优化与控制 · 数学 2025-10-07 Marius Willner , Marco Trenti , Dirk Lebiedz

The tree code for the approximate evaluation of gravitational forces is extended and substantially accelerated by including mutual cell-cell interactions. These are computed by a Taylor series in Cartesian coordinates and in a completely…

天体物理学 · 物理学 2009-10-31 Walter Dehnen