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Subperiodic trigonometric subsampling: A numerical approach

Sommariva Alvise (University of Padova, Department of Mathematics, Padova, Italy)
Vianello Marco (University of Padova, Department of Mathematics, Padova, Italy)

We show that Gauss-Legendre quadrature applied to trigonometric polynomials on subintervals of the period can be competitive with subperiodic trigonometric Gaussian quadrature. For example with intervals corresponding to few angular degrees, relevant for regional scale models on the earth surface, we see a subsampling ratio of one order of magnitude already at moderate trigonometric degrees.

Keywords: Subperiodic trigonometric quadrature, subsampling, numerical cubature on regions of the sphere