A wavelet Galerkin approximation of Fredholm integral eigenvalue problems with bidimensional Haar functions

Autores/as

  • Saulo P. Oliveira
  • Felipe Wisniewski
  • Juarez S. Azevedo

DOI:

https://doi.org/10.5540/03.2014.002.01.0060

Palabras clave:

Fredholm integral equations, Galerkin method, 2D Haar wavelets

Resumen

We consider the numerical approximation of homogeneous Fredholm integral equa-tions of second kind. We employ the wavelet Galerkin method with 2D Haar wavelets as shape functions. We thoroughly describe the derivation of the shape functions and present a preliminary numerical experiment illustrating the computation of eigenvalues for a particular covariance kernel.

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Publicado

2014-12-19

Número

Sección

Métodos Numéricos e Aplicações