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SHAVEL: A program for the spherical harmonic analysis of a horizontal vector field sampled in an equiangular grid on a sphere

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384963" target="_blank" >RIV/00216208:11320/18:10384963 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1016/j.cpc.2018.06.015" target="_blank" >https://doi.org/10.1016/j.cpc.2018.06.015</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.cpc.2018.06.015" target="_blank" >10.1016/j.cpc.2018.06.015</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    SHAVEL: A program for the spherical harmonic analysis of a horizontal vector field sampled in an equiangular grid on a sphere

  • Original language description

    A method for performing a spherical harmonic analysis, using observed horizontal components of a tangent vector on a sphere, is presented. The vector data samples are assumed to be provided in an equiangular grid, which essentially simplifies the least-squares analysis by making use of (1) the block diagonal structure of the normal equations of least squares, (2) the even-odd symmetry of the associated Legendre functions, and (3) the fast Fourier transform of mix-radix. The correct function of the program and its numerical precision is verified by applying it to a data set, derived by evaluating a given set of vector spherical harmonic coefficients. That the program works correctly is demonstrated by the excellent agreement between the input and output spherical harmonic coefficients.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10500 - Earth and related environmental sciences

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Computer Physics Communications

  • ISSN

    0010-4655

  • e-ISSN

  • Volume of the periodical

    233

  • Issue of the periodical within the volume

    December

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    9

  • Pages from-to

    206-214

  • UT code for WoS article

    000444667100018

  • EID of the result in the Scopus database

    2-s2.0-85049888769