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Reproducibility-Assuring Strategies for Parallel Preconditioned Conjugate Gradient
(English)Manuscript (preprint) (Other academic)
Abstract [en]

The Preconditioned Conjugate Gradient method is often used in numerical simulations ranging from gyro-fluid to space plasma physics. While being widely used, the solver is also known for its lack of accuracy while computing the residual. In this article, we aim at a twofold goal: enhance the accuracy of the solver but also ensure its reproducibility in a message-passing implementation. We design and employ various strategies starting from the ExBLAS approach (through preserving every bit of information until final rounding) to a more lightweight performance-oriented strategy (through expanding the intermediate precision). These algorithmic strategies are reinforced with programmability suggestions to assure deterministic executions. Finally, we verify these strategies on modern HPC systems with up-to 768 processes.

National Category
Computer Sciences
Research subject
Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-244613OAI: oai:DiVA.org:kth-244613DiVA, id: diva2:1291195
Note

QC 20190301

Available from: 2019-02-22 Created: 2019-02-22 Last updated: 2019-03-01Bibliographically approved

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Iakymchuk, Roman
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
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  • de-DE
  • en-GB
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  • nn-NO
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  • Other locale
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