Numerical Algorithms for High-Performance Computational Science

TitleNumerical Algorithms for High-Performance Computational Science
Publication TypeJournal Article
Year of Publication2020
AuthorsDongarra, J., L. Grigori, and N. J. Higham
JournalPhilosophical Transactions of the Royal Society A

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 multi- ple precisions of floating-point arithmetic, including half-precision. Moreover, as well as maximizing speed and accuracy, minimizing energy consumption is 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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