On a nonlinear and noninterpolatory subdivision scheme reducing diffusion near discontinuities

  1. Sofiane Zouaoui 1
  2. Sergio Amat Plata 2
  3. Juan Ruiz 2
  1. 1 Ecole Supérieure des Sciences Appliquées d'Alger
  2. 2 Universidad Politécnica de Cartagena
    info

    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

Actas:
9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)

Editorial: International Council for Industrial and Applied Mathematics

Año de publicación: 2019

Tipo: Aportación congreso

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Resumen

A nonlinear binary 3-point non-interpolatory subdivision scheme is presented. It is based on a subdivision scheme studied in S.S.Siddiqi and A.Nadeem (2007): A new three point approximating C2 subdivision scheme, AML, 707-711. If the initial control points come from the discretization of a piecewise continuous function, it can be interesting that the subdivision scheme produces a piece wise continuous limit function. The nonlinear modification introduced in this work allows to attain this objective reducing the diffusion.