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Numerical algorithms for high-performance computational science

Jack Dongarra 1 Laura Grigori 2 Nicholas Higham 3
2 ALPINES - Algorithms and parallel tools for integrated numerical simulations
INSMI - Institut National des Sciences Mathématiques et de leurs Interactions, Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : A number of features of today’s high-performance computers make it challenging to exploit these machines fully for computational science. These include increasing core counts but stagnant clock frequencies; the high cost of data movement; use of accelerators (GPUs, FPGAs, coprocessors), making architectures increasingly heterogeneous; and multipleprecisions of floating-point arithmetic, including half precision. Moreover, as well as maximizing speed and accuracy, minimizing energy consumptionis an important criterion. New generations of algorithms are needed to tackle these challenges. We discuss some approaches that we can take to develop numerical algorithms for high-performance computational science, with a view to exploiting the next generation of supercomputers.
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https://hal.inria.fr/hal-03131759
Contributor : Laura Grigori Connect in order to contact the contributor
Submitted on : Thursday, February 4, 2021 - 4:19:09 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:07 AM

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Jack Dongarra, Laura Grigori, Nicholas Higham. Numerical algorithms for high-performance computational science. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2020, 378 (2166), pp.20190066. ⟨10.1098/rsta.2019.0066⟩. ⟨hal-03131759⟩

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