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Barrier Synchronization Pattern
, 2009
"... How does one synchronize concurrent UEs which are mutually dependent on each other across phases of a computation? 2 Context Parallel algorithms divide the work into multiple, concurrent tasks. These tasks or UEs may execute in parallel depending on the physical resources available. It is common for ..."
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before proceeding to the next phase. Barriers are commonly used to enforce such waiting. Figure 1 illustrates how a barrier works. A UE executes its code until it reaches a barrier. Then it waits until all other UEs have reached that barrier before proceeding. Consider the BarnesHut [BH86] Nbody
Scalable Parallel Formulations of the BarnesHut Method for nBody Simulations
 IN PROCEEDINGS OF SUPERCOMPUTING '94
, 1994
"... In this paper, we present two new parallel formulations of the BarnesHut method. These parallel formulations are especially suited for simulations with irregular particle densities. We first present a parallel formulation that uses a static partitioning of the domain and assignment of subdomains to ..."
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Cited by 46 (7 self)
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on Morton ordering. This alleviates the load imbalance inherent in the first scheme. The second parallel formulation is inspired by two currently best known parallel algorithms for the BarnesHut method. We present an experimental evaluation of these schemes on a 256 processor nCUBE2 parallel computer
ABSTRACT ObjectOriented Parallel BarnesHut
, 2002
"... The naïve (NV) implementation of the nbody problem runs in O(n2) where all particle interactions are computed, while the BarnesHut (BH) algorithm runs on average O(n log n) floating point operations for a given accuracy and fixed distribution of particles. For an rms error of 103, BH takes close ..."
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The naïve (NV) implementation of the nbody problem runs in O(n2) where all particle interactions are computed, while the BarnesHut (BH) algorithm runs on average O(n log n) floating point operations for a given accuracy and fixed distribution of particles. For an rms error of 103, BH takes close
approaches to the classical NBody Problem: the BarnesHut
"... feasible implementation of these algorithms. The execution codes have been written in NESL, a parallel programming language developed at Carnegie Mellon University, and extensive experiments have been run on them. The goal of this project is to compare these three algorithms in terms of both the com ..."
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feasible implementation of these algorithms. The execution codes have been written in NESL, a parallel programming language developed at Carnegie Mellon University, and extensive experiments have been run on them. The goal of this project is to compare these three algorithms in terms of both
A CellCell BarnesHut Algorithm for Fast Particle Simulation
"... We describe two new algorithms for Nbody simulation which are generalisations of the BarnesHut algorithm capable of modelling interactions between the internal nodes of the octtree data structure representing a 3dimensional space of particles. The two algorithms, Cell Propagation and Mass Pa ..."
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We describe two new algorithms for Nbody simulation which are generalisations of the BarnesHut algorithm capable of modelling interactions between the internal nodes of the octtree data structure representing a 3dimensional space of particles. The two algorithms, Cell Propagation and Mass
A Data Parallel Formulation of the BarnesHut Method for Nbody Simulations
, 2000
"... This paper presents a dataparallel formulation for N \Gammabody simulations using the BarnesHut method. The treestructured problem is first linearized by using spacefilling curves. This process allows us to use standard data distributions and parallel array operations available in dataparallel ..."
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Cited by 7 (0 self)
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This paper presents a dataparallel formulation for N \Gammabody simulations using the BarnesHut method. The treestructured problem is first linearized by using spacefilling curves. This process allows us to use standard data distributions and parallel array operations available in data
Data Locality on the Alewife Machine in the BarnesHut Nbody Application
"... This thesis investigates the impact of data locality on performance in the BarnesHut application. A program is said to exhibit data locality if the data references made by each processor are satisfied in local memory. Two questions regarding data locality are addressed in the context of this applic ..."
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Cited by 1 (0 self)
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This thesis investigates the impact of data locality on performance in the BarnesHut application. A program is said to exhibit data locality if the data references made by each processor are satisfied in local memory. Two questions regarding data locality are addressed in the context
Nonlinear Processes in Geophysics A BarnesHut scheme for simulating fault slip
"... Abstract. To account for natural spatial and temporal complexity, largescale, longduration calculations are required for simulations of seismicity in fault zones that host large earthquakes. Without advances in computational methods, the rate of progress in “earthquake simulator ” models and ass ..."
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points (N) as N logN, can be conducted routinely with errors on the order of 0.1%. We expect the BarnesHut method to be well suited for conducting initial exploration of parameter space for fault simulations with nonlinear constitutive equations, and for efficient calculations of stress interaction
CHAPTER An Efficient CUDA Implementation of the TreeBased Barnes Hut nBody Algorithm
"... This chapter describes the first CUDA implementation of the classical Barnes Hut nbody algorithm that runs entirely on the GPU. Unlike most other CUDA programs, our code builds an irregular treebased data structure and performs complex traversals on it. It consists of six GPU kernels. The kernels a ..."
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running on a 2.53 GHz Xeon E5540 CPU. 6.1 INTRODUCTION, PROBLEM STATEMENT, AND CONTEXT The Barnes Hut forcecalculation algorithm [1] is widely used in nbody simulations such as modeling the motion of galaxies. It hierarchically decomposes the space around the bodies into successively smaller boxes
Truly distributionindependent algorithms for the nbody problem
 in SC1994
, 1994
"... The N body problem is to simulate the motion of N particles under the influence of mutual force fields based on an inverse square law. Greengard’s algorithm claims to compute the cumulative force on each particle in O ( N) time for a fixed precision irrespective of the distribution of the particles ..."
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Cited by 5 (1 self)
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of the particles. In this paper, we show that Greengard’s algorithm is distribution dependent and has a lower bound of Ω ( N log 2 N) in two dimensions and Ω(N log 4 N) in three dimensions. We analyze the Greengard and BarnesHut algorithms and show that they are unbounded for arbitrary distributions. We also
Results 1  10
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