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001 978-981-13-9965-7
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008 191005s2019 si | s |||| 0|eng d
020 _a9789811399657
_9978-981-13-9965-7
024 7 _a10.1007/978-981-13-9965-7
_2doi
050 4 _aQA76.9.A43
072 7 _aUMB
_2bicssc
072 7 _aCOM051300
_2bisacsh
072 7 _aUMB
_2thema
082 0 4 _a518.1
_223
100 1 _aTakahashi, Daisuke.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFast Fourier Transform Algorithms for Parallel Computers
_h[electronic resource] /
_cby Daisuke Takahashi.
250 _a1st ed. 2019.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2019.
300 _aIX, 114 p. 32 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aHigh-Performance Computing Series,
_x2662-3439 ;
_v2
505 0 _aChapter 1: Introduction -- Chapter 2: Fast Fourier Transform -- Chapter 3: Mixed-Radix FFT Algorithms -- Chapter 4: Split-Radix FFT Algorithms -- Chapter 5: Multidimensional FFT Algorithms -- Chapter 6: High-Performance FFT Algorithms -- Chapter 7: Parallel FFT Algorithms for Shared-Memory Parallel Computers -- Chapter 8: Parallel FFT Algorithms for Distributed-Memory Parallel Computers.
520 _aFollowing an introduction to the basis of the fast Fourier transform (FFT), this book focuses on the implementation details on FFT for parallel computers. FFT is an efficient implementation of the discrete Fourier transform (DFT), and is widely used for many applications in engineering, science, and mathematics. Presenting many algorithms in pseudo-code and a complexity analysis, this book offers a valuable reference guide for graduate students, engineers, and scientists in the field who wish to apply FFT to large-scale problems.Parallel computation is becoming indispensable in solving the large-scale problems increasingly arising in a wide range of applications. The performance of parallel supercomputers is steadily improving, and it is expected that a massively parallel system with hundreds of thousands of compute nodes equipped with multi-core processors and accelerators will be available in the near future. Accordingly, the book also provides up-to-date computational techniques relevant to the FFT in state-of-the-art parallel computers. Following the introductory chapter, Chapter 2 introduces readers to the DFT and the basic idea of the FFT. Chapter 3 explains mixed-radix FFT algorithms, while Chapter 4 describes split-radix FFT algorithms. Chapter 5 explains multi-dimensional FFT algorithms, Chapter 6 presents high-performance FFT algorithms, and Chapter 7 addresses parallel FFT algorithms for shared-memory parallel computers. In closing, Chapter 8 describes parallel FFT algorithms for distributed-memory parallel computers.
650 0 _aAlgorithms.
650 0 _aEngineering mathematics.
650 0 _aEngineering
_xData processing.
650 1 4 _aAlgorithms.
650 2 4 _aMathematical and Computational Engineering Applications.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789811399640
776 0 8 _iPrinted edition:
_z9789811399664
776 0 8 _iPrinted edition:
_z9789811399671
830 0 _aHigh-Performance Computing Series,
_x2662-3439 ;
_v2
856 4 0 _uhttps://doi.org/10.1007/978-981-13-9965-7
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c172706
_d172706