Scalable implementation of spectral methods for the Dirac equation

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The author discusses the implementation and performance on massively parallel, distributed-memory computers of a message-passing program to solve the time-dependent dirac equation in three Cartesian coordinates. Luses pseudo-spectral methods to obtain a discrete representation of the dirac spinor wavefunction and all coordinate-space operators. Algorithms for the solution of the discrete equations are iterative and depend critically on the dirac hamiltonian-wavefunction product, which he implements as a series of parallel matrix products using MPI. He investigated two communication algorithms, a ring algorithm and a collective-communication algorithm, and present performance results for each on a Paragon-MP (1024 nodes) and a Cray T3E-900 ... continued below

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11 p.

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Wells, J.C. October 1, 1998.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 27 times . More information about this article can be viewed below.

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  • Oak Ridge National Laboratory
    Publisher Info: Oak Ridge National Lab., Center for Computational Sciences, TN (United States)
    Place of Publication: Tennessee

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Description

The author discusses the implementation and performance on massively parallel, distributed-memory computers of a message-passing program to solve the time-dependent dirac equation in three Cartesian coordinates. Luses pseudo-spectral methods to obtain a discrete representation of the dirac spinor wavefunction and all coordinate-space operators. Algorithms for the solution of the discrete equations are iterative and depend critically on the dirac hamiltonian-wavefunction product, which he implements as a series of parallel matrix products using MPI. He investigated two communication algorithms, a ring algorithm and a collective-communication algorithm, and present performance results for each on a Paragon-MP (1024 nodes) and a Cray T3E-900 (512 nodes). The ring algorithm achieves very good performance, scaling up to the maximum number of nodes on each machine. However, the collective-communication algorithm scales effectively only on the Paragon.

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11 p.

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OSTI as DE98007232

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  • Supercomputing 1998, Orlando, FL (United States), 7-13 Nov 1998

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  • Other: DE98007232
  • Report No.: ORNL/CP--98141
  • Report No.: CONF-981111--
  • Grant Number: AC05-96OR22464
  • Office of Scientific & Technical Information Report Number: 674760
  • Archival Resource Key: ark:/67531/metadc708212

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  • October 1, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • Nov. 3, 2016, 6:46 p.m.

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Wells, J.C. Scalable implementation of spectral methods for the Dirac equation, article, October 1, 1998; Tennessee. (digital.library.unt.edu/ark:/67531/metadc708212/: accessed November 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.