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    • openAccess   A family of non-oscillatory 6-point interpolatory subdivision schemes 

      Donat Beneito, Rosa María; López-Ureña, Sergio; Santágueda-Villanueva, María Springer Verlag (2017-02)
      In this paper we propose and analyze a new family of nonlinear subdivision schemes which can be considered non-oscillatory versions of the 6-point Deslauries-Dubuc (DD) interpolatory scheme, just as the Power p schemes are ...

    • openAccess   The PCHIP subdivision scheme 

      Aràndiga Llaudes, Francesc; Donat Beneito, Rosa María; Santágueda-Villanueva, María Elsevier (2016-01-01)
      In this paper we propose and analyze a nonlinear subdivision scheme based on the monotononicity-preserving third order Hermite-type interpolatory technique implemented in the PCHIP package in Matlab. We prove the convergence ...