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Discrete differential operators in multidimensional Haar wavelet spaces

Author

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  • Carlo Cattani
  • Luis M. Sánchez Ruiz

Abstract

We consider a class of discrete differential operators acting on multidimensional Haar wavelet basis with the aim of finding wavelet approximate solutions of partial differential problems. Although these operators depend on the interpolating method used for the Haar wavelets regularization and the scale dimension space, they can be easily used to define the space of approximate wavelet solutions.

Suggested Citation

  • Carlo Cattani & Luis M. Sánchez Ruiz, 2004. "Discrete differential operators in multidimensional Haar wavelet spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:480617
    DOI: 10.1155/S0161171204307234
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    Cited by:

    1. Shu-Li Mei & De-Hai Zhu, 2013. "Interval Shannon Wavelet Collocation Method for Fractional Fokker‐Planck Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).
    2. Jinsong Leng & Tingzhu Huang, 2014. "Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Li-wei Liu, 2013. "Interval Wavelet Numerical Method on Fokker‐Planck Equations for Nonlinear Random System," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).

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