On the efficiency and accuracy of interpolation methods for spectral codes (Articolo in rivista)

Type
Label
  • On the efficiency and accuracy of interpolation methods for spectral codes (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1137/110849018 (literal)
Alternative label
  • van Hinsberg, M., Thije Boonkkamp, J., Toschi, F., and Clercx, H. (2012)
    On the efficiency and accuracy of interpolation methods for spectral codes
    in SIAM journal on scientific computing (Online)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • van Hinsberg, M., Thije Boonkkamp, J., Toschi, F., and Clercx, H. (literal)
Pagina inizio
  • B479 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 34 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Department of Physics, Eindhoven University of Technology, P.O. Box 513, 5600MB Eindhoven, The Netherlands (M.A.T.v.Hinsberg@tue.nl). Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600MB Eindhoven, The Netherlands (tenthije@win.tue.nl). CNR, Istituto per le Applicazioni del Calcolo, Via dei Taurini 19, 00185 Rome, Italy. Current address: Departments of Physics and Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600MB Eindhoven, The Netherlands (F.Toschi@tue.nl). Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands. Current address: Department of Physics, Eindhoven University of Technology, PO Box 513, 5600MB Eindhoven, The Netherlands (H.J.H.Clercx@tue.nl). (literal)
Titolo
  • On the efficiency and accuracy of interpolation methods for spectral codes (literal)
Abstract
  • In this paper a general theory for interpolation methods on a rectangular grid is introduced. By the use of this theory an efficient B-spline-based interpolation method for spectral codes is presented. The theory links the order of the interpolation method with its spectral properties. In this way many properties like order of continuity, order of convergence, and magnitude of errors can be explained. Furthermore, a fast implementation of the interpolation methods is given. We show that the B-spline-based interpolation method has several advantages compared to other methods. First, the order of continuity of the interpolated field is higher than for other methods. Second, only one FFT is needed, whereas, for example, Hermite interpolation needs multiple FFTs for computing the derivatives. Third, the interpolation error almost matches that of Hermite interpolation, a property not reached by other methods investigated. (literal)
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