A New Recurrence Formula for Efficient Computation of Spherical Harmonic Transform

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Author(s)

Abstract

<p> A new recurrence formula to calculate the associated Legendre functions is proposed for efficient computation of the spherical harmonic transform. This new recurrence formula makes the best use of the fused multiply–add (FMA) operations implemented in modern computers. The computational speeds in calculating the spherical harmonic transform are compared between a numerical code in which the new recurrence formula is implemented and another code using the traditional recurrence formula. This comparison shows that implementation of the new recurrence formula contributes to a faster transform. Furthermore, a scheme to maintain the accuracy of the transform, even when the truncation wavenumber is huge, is also explained.</p>

Journal

  • Journal of the Meteorological Society of Japan. Ser. II

    Journal of the Meteorological Society of Japan. Ser. II 96(2), 241-249, 2018

    Meteorological Society of Japan

Codes

  • NII Article ID (NAID)
    130006565470
  • NII NACSIS-CAT ID (NCID)
    AA00702524
  • Text Lang
    ENG
  • ISSN
    0026-1165
  • NDL Article ID
    028947138
  • NDL Call No.
    Z54-J645
  • Data Source
    NDL  J-STAGE 
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