Subperiodic trigonometric subsampling: A numerical approach

Alvise Sommariva, Marco Vianello
2017 Applicable Analysis and Discrete Mathematics  
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. * Corresponding author. Marco Vianello 2010 Mathematics Subject Classification. 65D32, 65T40.
doi:10.2298/aadm1702470s fatcat:5tse3bg6fnd65m5gszlqizolcm