Tiling optimization in numerically solving a multidimensional heat equation on a ring of processors

The problem of tiling optimization in solving the first boundary problem for a multidimensional heat equation on supercomputers with distributed memory is investigated. Estimates of amounts of computations and communications are obtained. Tiling optimization is reduced to the minimization of the exe...

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Veröffentlicht in:Cybernetics and systems analysis Jg. 46; H. 1; S. 145 - 152
Hauptverfasser: Sobolevsky, P. I., Bakhanovich, S. V., Gorbach, A. N.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Boston Springer US 01.01.2010
Springer
Springer Nature B.V
Schlagworte:
Algorithms
Analysis
Artificial Intelligence
Communication channels
Control
Cybernetics
Distributed shared memory
Mathematics
Mathematics and Statistics
Optimization
Processor Architectures
Software Engineering/Programming and Operating Systems
Sofware–Hardware Systems
Studies
Systems analysis
Systems Theory
tile
heat equation
optimization
tiling
distributed-memory computing system
ISSN:1060-0396, 1573-8337
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Abstract The problem of tiling optimization in solving the first boundary problem for a multidimensional heat equation on supercomputers with distributed memory is investigated. Estimates of amounts of computations and communications are obtained. Tiling optimization is reduced to the minimization of the execution time of an algorithm as a function of the tile size, computing environment size, processor throughput, and latency and bandwidth of communication channels.
AbstractList The problem of tiling optimization in solving the first boundary problem for a multidimensional heat equation on supercomputers with distributed memory is investigated. Estimates of amounts of computations and communications are obtained. Tiling optimization is reduced to the minimization of the execution time of an algorithm as a function of the tile size, computing environment size, processor throughput, and latency and bandwidth of communication channels.
The problem of tiling optimization in solving the first boundary problem for a multidimensional heat equation on supercomputers with distributed memory is investigated. Estimates of amounts of computations and communications are obtained. Tiling optimization is reduced to the minimization of the execution time of an algorithm as a function of the tile size, computing environment size, processor throughput, and latency and bandwidth of communication channels. One of the most important aspects of development and optimization of parallel applications for computing systems with distributed memory is the efficient organization of communications.
The problem of tiling optimization in solving the first boundary problem for a multidimensional heat equation on supercomputers with distributed memory is investigated. Estimates of amounts of computations and communications are obtained. Tiling optimization is reduced to the minimization of the execution time of an algorithm as a function of the tile size, computing environment size, processor throughput, and latency and bandwidth of communication channels. Keywords: tile, tiling, distributed-memory computing system, optimization, heat equation.
Audience Academic
Author Sobolevsky, P. I.
Gorbach, A. N.
Bakhanovich, S. V.
Author_xml – sequence: 1
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  surname: Sobolevsky
  fullname: Sobolevsky, P. I.
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  organization: Institute of Mathematics, National Academy of Sciences of Belarus
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  givenname: S. V.
  surname: Bakhanovich
  fullname: Bakhanovich, S. V.
  organization: Institute of Mathematics, National Academy of Sciences of Belarus
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  givenname: A. N.
  surname: Gorbach
  fullname: Gorbach, A. N.
  organization: Belarus State University
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Cites_doi 10.1109/TPDS.2002.1158261
10.1006/jpdc.1997.1310
10.1016/0167-9260(94)90019-1
10.1145/224538.224571
10.1109/71.679213
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heat equation
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tiling
distributed-memory computing system
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References Boulet, Darte, Risset, Robert (CR2) 1994; 17
CR4
CR6
Ramanujam, Sadayappaan (CR1) 1990; 2
CR5
CR8
Xue (CR3) 1997; 1
Hodzic, Shang (CR7) 2002; 13
CR9
J Xue (9193_CR3) 1997; 1
J Ramanujam (9193_CR1) 1990; 2
P Boulet (9193_CR2) 1994; 17
9193_CR6
9193_CR5
9193_CR4
E Hodzic (9193_CR7) 2002; 13
9193_CR9
9193_CR8
References_xml – ident: CR9
– ident: CR6
– volume: 13
  start-page: 1220
  issue: 10
  year: 2002
  end-page: 1223
  ident: CR7
  article-title: On-time optimal supernode shape
  publication-title: IEEE Trans. Parallel and Distributed Systems
  doi: 10.1109/TPDS.2002.1158261
– ident: CR5
– ident: CR8
– volume: 2
  start-page: 179
  year: 1990
  end-page: 186
  ident: CR1
  article-title: Tiling of iteration spaces for multicomputers
  publication-title: Proc. of Int. Conf. on Parallel Processes
– volume: 1
  start-page: 42
  issue: 42
  year: 1997
  end-page: 59
  ident: CR3
  article-title: Communication-minimal tiling of uniform dependence loops
  publication-title: J. of Parallel and Distributed Comput.
  doi: 10.1006/jpdc.1997.1310
– ident: CR4
– volume: 17
  start-page: 33
  year: 1994
  end-page: 51
  ident: CR2
  article-title: “(Pen)-ultimate tiling?” Integration
  publication-title: The VLSI J.
  doi: 10.1016/0167-9260(94)90019-1
– ident: 9193_CR5
  doi: 10.1145/224538.224571
– ident: 9193_CR9
– volume: 2
  start-page: 179
  year: 1990
  ident: 9193_CR1
  publication-title: Proc. of Int. Conf. on Parallel Processes
– ident: 9193_CR6
  doi: 10.1109/71.679213
– volume: 13
  start-page: 1220
  issue: 10
  year: 2002
  ident: 9193_CR7
  publication-title: IEEE Trans. Parallel and Distributed Systems
  doi: 10.1109/TPDS.2002.1158261
– volume: 17
  start-page: 33
  year: 1994
  ident: 9193_CR2
  publication-title: The VLSI J.
  doi: 10.1016/0167-9260(94)90019-1
– ident: 9193_CR4
– volume: 1
  start-page: 42
  issue: 42
  year: 1997
  ident: 9193_CR3
  publication-title: J. of Parallel and Distributed Comput.
  doi: 10.1006/jpdc.1997.1310
– ident: 9193_CR8
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SubjectTerms Algorithms
Analysis
Artificial Intelligence
Communication channels
Control
Cybernetics
Distributed shared memory
Mathematics
Mathematics and Statistics
Optimization
Processor Architectures
Software Engineering/Programming and Operating Systems
Sofware–Hardware Systems
Studies
Systems analysis
Systems Theory
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Title Tiling optimization in numerically solving a multidimensional heat equation on a ring of processors
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