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Computational Structure of the N-Body Problem

https://doi.org/10.1137/0910048
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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The rapid evaluation of potential fields in three dimensions
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A fast algorithm for particle simulations
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Numerical study of slightly viscous flow
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A hierarchical O(N log N) force-calculation algorithm
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The Connection Machine
inferredcites →https://doi.org/10.1109/sfcs.1986.38openalex-snapshot
Optimal simulations of tree machines
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On Vortex Methods
inferredcites →https://doi.org/10.1137/0906008openalex-snapshot
An Efficient Program for Many-Body Simulation
inferredcites →https://doi.org/10.1145/7902.7903openalex-snapshot
Data parallel algorithms
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Computer Simulation Using Particles
inferredcites →https://doi.org/10.1887/0852743920openalex-snapshot
Computer Simulation Using Particles
inferredcites →https://doi.org/10.7551/mitpress/5750.001.0001openalex-snapshot
The Rapid Evaluation of Potential Fields in Particle Systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A fast method to sample real protein conformational space
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Protein calculations on parallel processors. I. Parallel algorithm for the potential energy
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Fast numerical method for the solution of the quasigeostrophic vorticity equation
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Load Balancing and Data Locality in Adaptive Hierarchical N-Body Methods: Barnes-Hut, Fast Multipole, and Radiosity
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An implementation of a tree-based N-body algorithm on message-passing architectures
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A Unifying Framework for Parallel Computing
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Lagrangian Modelling of the Convective Diffusion Problem Using Unstructured Grids and Multigrid Technique
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Minimizing the object dimensions in circle and sphere packing problems
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The implementation and performance evaluation of N-body gravitational simulation algorithm on high-performance computers
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An adaptive multigrid technique for evaluating long-range forces in biomolecular simulations
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A fast quasi-multiple medium method for 3-D bem calculation of parasitic capacitance
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A multipole direct and indirect BEM for 2D cavity flow at low Reynolds number
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Distribution-Independent Hierarchical Algorithms for the N-body Problem
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DESIGN OF A PARALLEL INTERCONNECT BASED ON COMMUNICATION PATTERN CONSIDERATIONS
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A Parallel Multipole Accelerated 3-D Capacitance Simulator Based on an Improved Model
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FastCap: a multipole accelerated 3-D capacitance extraction program
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A fast multipole algorithm for capacitance extraction of complex 3-D geometries
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Concurrent Implementation of a Fast Vortex Method
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A massively parallel fast multipole algorithm in three dimensions
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Vectoring the N-body problem on the CM-5
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Parallel implementation of 3D FMA using MPI
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The power of combining the techniques of algebraic and numerical computing: improved approximate multipoint polynomial evaluation and improved multipole algorithms
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Truly distribution-independent algorithms for the N-body problem
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The Parallel Multipole Method on the Connection Machine
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An Implementation of the Fast Multipole Method without Multipoles
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A Fast Algorithm to Solve Nonhomogeneous Cauchy–Riemann Equations in the Complex Plane
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Hypercube Algorithms for Direct N-Body Solvers for Different Granularities
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A decomposition of multidimensional point sets with applications to k -nearest-neighbors and n -body potential fields
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Methodology for the increased computational efficiency of discrete-event simulation in 3 dimensional space
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A data-parallel implementation of O(N) hierarchical N-body methods
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Implementing O(N) N‐Body Algorithms Efficiently in Data‐Parallel Languages
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Dna Dynamics in Aqueous Solution: Opening the Double Helix
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Distribution-independent hierarchicald N-body methods
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Evaluating Budget of Overhead and Scalability on High-Performance Computing Systems
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Truly distribution-independent algorithms for the N-body problem
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