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                                       Details for article 7 of 79 found articles
 
 
  A note on a family of quadrature formulas and some applications
 
 
Title: A note on a family of quadrature formulas and some applications
Author: Bogusław Bożek
Wiesław Solak
Zbigniew Szydełko
Appeared in: Opuscula mathematica
Paging: Volume 28 (2008) nr. 2 pages 109-121
Year: 2008
Contents: In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule. One can prove that for any continuous function there exists a parameter for which the value of quadrature formula is equal to the integral. Some applications of this family to the construction of cubature formulas, numerical solution of ordinary differential equations and integral equations are presented.
Publisher: AGH University of Science and Technology (provided by DOAJ)
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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