SUBPERIODIC TRIGONOMETRIC SUBSAMPLING: A NUMERICAL APPROACH

Applicable Analysis and Discrete Mathematics

article

Alvise Sommariva¹  Marco Vianello² 

[1] Department of Mathematics, University of Padova;Department of Mathematics, University of Padova Italy

关键词: Numerical cubature;    Gaussian quadrature;    Subperiodic trigonometric quadrature;   

DOI  :  10.2298/AADM1702470S

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

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

【 授权许可】

Unknown