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Product Gaussian Quadrature on Circular Lunes

Published online by Cambridge University Press:  28 May 2015

Gaspare Da Fies  and
Marco Vianello
Gaspare Da Fies
Affiliation:
Department of Mathematics, University of Padova, Italy
Marco Vianello*
Affiliation:
Department of Mathematics, University of Padova, Italy
*
*Corresponding author.Email address:marcov@math.unipd.it
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Abstract

Resorting to recent results on subperiodic trigonometric quadrature, we provide three product Gaussian quadrature formulas exact on algebraic polynomials of degree n on circular lunes. The first works on any lune, and has cardinality. The other two have restrictions on the lune angular intervals, but their cardinality is

Keywords

65D32Product Gaussian quadraturesubperiodic trigonometric quadraturecircular lunes
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 7 , Issue 2 , May 2014 , pp. 251 - 264
Copyright
Copyright © Global Science Press Limited 2014

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