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.
Originalsprache | Englisch |
---|---|
Zeitschrift | GEM - International Journal on Geomathematics |
Jahrgang | 3 |
Ausgabenummer | 1 |
Seiten (von - bis) | 119-138 |
Seitenumfang | 20 |
ISSN | 1869-2672 |
DOIs | |
Publikationsstatus | Veröffentlicht - 01.04.2012 |