Numerical integration over a disc. A new Gaussian quadrature formula Academic Article

abstract

• We construct a quadrature formula for integration on the unit disc which is based on line integrals over n distinct chords in the disc and integrates exactly all polynomials in two variables of total degree 2n - 1.

authors

• Petrova, Guergana

published proceedings

• Numerische Mathematik

author list (cited authors)

• Bojanov, B., & Petrova, G.

citation count

• 18

complete list of authors

• Bojanov, Borislav||Petrova, Guergana

publication date

• January 1998

publisher

• Springer Nature  Publisher

published in

• Numerische Mathematik  Journal

Digital Object Identifier (DOI)

• 10.1007/s002110050358

start page

• 39

end page

• 59

volume

• 80

issue

• 1

URL

• http://dx.doi.org/10.1007/s002110050358