Resilience Against Soft Faults through Adaptivity in Spectral Deferred Correction
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918092198641664 |
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| author | Saupe, Thomas Götschel, Sebastian Lunet, Thibaut Ruprecht, Daniel Speck, Robert |
| author_facet | Saupe, Thomas Götschel, Sebastian Lunet, Thibaut Ruprecht, Daniel Speck, Robert |
| contents | As supercomputers grow in hardware complexity, their susceptibility to faults increases and measures need to be taken to ensure the correctness of results. Some numerical algorithms have certain characteristics that allow them to recover from some types of faults. It has been demonstrated that adaptive Runge-Kutta methods provide resilience against transient faults without adding computational cost. Using recent advances in adaptive step size selection for spectral deferred correction (SDC), an iterative numerical time stepping scheme that can produce methods of arbitrary order, we show that adaptive SDC can also detect and correct transient faults. Its performance is found to be comparable to that of the dedicated resilience strategy Hot Rod. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00529 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resilience Against Soft Faults through Adaptivity in Spectral Deferred Correction Saupe, Thomas Götschel, Sebastian Lunet, Thibaut Ruprecht, Daniel Speck, Robert Distributed, Parallel, and Cluster Computing Numerical Analysis 65Y05 G.1.0 As supercomputers grow in hardware complexity, their susceptibility to faults increases and measures need to be taken to ensure the correctness of results. Some numerical algorithms have certain characteristics that allow them to recover from some types of faults. It has been demonstrated that adaptive Runge-Kutta methods provide resilience against transient faults without adding computational cost. Using recent advances in adaptive step size selection for spectral deferred correction (SDC), an iterative numerical time stepping scheme that can produce methods of arbitrary order, we show that adaptive SDC can also detect and correct transient faults. Its performance is found to be comparable to that of the dedicated resilience strategy Hot Rod. |
| title | Resilience Against Soft Faults through Adaptivity in Spectral Deferred Correction |
| topic | Distributed, Parallel, and Cluster Computing Numerical Analysis 65Y05 G.1.0 |
| url | https://arxiv.org/abs/2412.00529 |