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Multivariate approximation at fake nodes

Author

Listed:
  • De Marchi, S.
  • Marchetti, F.
  • Perracchione, E.
  • Poggiali, D.

Abstract

The main goal of the present paper is to extend the interpolation via the so-called mapped bases without resampling to any basis and dimension. So far indeed, we investigated the univariate case, its extension to rational polynomial interpolation and its natural application to numerical integration.

Suggested Citation

  • De Marchi, S. & Marchetti, F. & Perracchione, E. & Poggiali, D., 2021. "Multivariate approximation at fake nodes," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    • Handle: RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320305828
    DOI: 10.1016/j.amc.2020.125628
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    References listed on IDEAS

    as
    1. Erb, Wolfgang, 2016. "Bivariate Lagrange interpolation at the node points of Lissajous curves – the degenerate case," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 409-425.
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    Cited by:

    1. Davide Poggiali & Diego Cecchin & Cristina Campi & Stefano De Marchi, 2021. "Oversampling Errors in Multimodal Medical Imaging Are Due to the Gibbs Effect," Mathematics, MDPI, vol. 9(12), pages 1-20, June.

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