Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles

J. Beckmann, H. N. Mhaskar, J. Prestin*

*Corresponding author for this work
8 Citations (Scopus)

Abstract

We describe an explicit construction of quadrature rules exact for integrating multivariate trigonometric polynomials of a given coordinatewise degree on a spherical triangle. The theory is presented in the more general setting of quadrature formulas on a compact subset of the unit hypersphere, S q, embedded in the Euclidean space R q+1. The number of points at which the polynomials are sampled is commensurate with the dimension of the polynomial space.

Original languageEnglish
JournalGEM - International Journal on Geomathematics
Volume3
Issue number1
Pages (from-to)119-138
Number of pages20
ISSN1869-2672
DOIs
Publication statusPublished - 01.04.2012

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