Bivariate approximation by discrete smoothing PDE splines

  1. Rodríguez, Miguel Luis
  2. Rodríguez González, Miguel Luis
Libro:
Ninth international conference Zaragoza-Pau on applied mathematics and statistics: Jaca (Spain). September 19-21, 2005
  1. Madaune-Tort, Monique (coord.)

Editorial: Seminario Matemático "García de Galdeano" ; Universidad de Zaragoza

ISBN: 84-7733-871-X

Año de publicación: 2006

Páginas: 169-176

Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (9. 2005. Jaca)

Tipo: Aportación congreso

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Resumen

This paper deals with the construction and characterization of discrete PDE splines. For this purpose, we need a PDE equation (usually an elliptic PDE), certain boundary conditions and a set of points to approximate. We give two results about the convergence of a discrete PDE spline to a function of a fixed space in two different cases: (1) when the approximation points are fixed; (2) when the boundary points are fixed. We provide a numerical and graphic example of approximation by discrete PDE splines.

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