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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation

  • Published:2009-07-31 Issue:13 Volume:80 Page:1687-1717
  • ISSN:0029-5981
  • Container-title:International Journal for Numerical Methods in Engineering
  • language:en
  • Short-container-title:Int. J. Numer. Meth. Engng.

Author:

Lombardi Guido

Funder

NATO Science for Peace Programme

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference42 articles.

1. Graduate Texts in Mathematics;Borwein,1995

2. The ‘full Müntz theorem’ in Lp[0, 1] for 0;Erdélyi;Journal d'Analyse Mathmatique,2001

3. Sur une généralisation de la théorie des quadratures mécaniques;Stieltjes;Comptes Rendus de l Academie des Sciences, Paris,1884

4. Algorithm 331: Gaussian quadrature formulas;Gautschi;Communications of ACM,1968

5. Numerical construction of Gaussian quadrature formulas for ∫ 10(−logx)xαf(x)dx and ∫ ∞0Em(x)f(x)dx;Danloy;Mathematics of Computation,1973

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