Polynomial approximation and quadrature on geographic rectangles

M. Gentile, A. Sommariva and M. Vianello

Applied Mathematics and Computation, 2017, vol. 297, issue C, 159-179

Abstract: Using some recent results on subperiodic trigonometric interpolation and quadrature, and the theory of admissible meshes for multivariate polynomial approximation, we study product Gaussian quadrature, hyperinterpolation and interpolation on some regions of Sd,d ≥ 2. Such regions include caps, zones, slices and more generally spherical rectangles defined on S2 by longitude and (co)latitude (geographic rectangles). We provide the corresponding Matlab codes and discuss several numerical examples on S2.

Keywords: Algebraic cubature; Geographic (spherical) rectangles; Hyperinterpolation; Interpolation; Weakly admissible meshes; Discrete extremal sets (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:297:y:2017:i:c:p:159-179

DOI: 10.1016/j.amc.2016.08.014

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