20th GAMM-Seminar Leipzig on
Numerical Methods for Non-Local Operators

Max-Planck-Institute for Mathematics in the Sciences
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  20th GAMM-Seminar
January, 22th-24th, 2004
  Winterschool on hierarchical matrices  
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  Abstract Hoessein Parsian, Fri, 17.00-17.30 Previous Contents Next  
  Legendre Wavelets Rule for Definite Integrals
Hoessein Parsian (University Bu ali-Sina)

In this research we introduce a numerical method for the computation of definite integrals. This method is based on Legendre wavelets. In usual numerical rules, we needs the values of the integrand in various points (at least two points of an interval). However, in Wavelet methods, we need the values of the integrand and the first derivative of it at one point. In general the wavelet rule is an accurate rule for any polynomials of degree n if we have the value of integrand and its derivative at one point.

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