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 language | English |
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Journal | GEM - International Journal on Geomathematics |
Volume | 3 |
Issue number | 1 |
Pages (from-to) | 119-138 |
Number of pages | 20 |
ISSN | 1869-2672 |
DOIs | |
Publication status | Published - 01.04.2012 |