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Sparse grid quadrature on products of spheres

Hegland, Markus; Leopardi, Paul

Description

We examine sparse grid quadrature on weighted tensor products (wtp) of reproducing kernel Hilbert spaces on products of the unit sphere S². We examine sparse grid quadrature on weighted tensor products (wtp) of reproducing kernel Hilbert spaces on products of the unit sphere S², in the case of worst case quadrature error for rules with arbitrary quadrature weights. We describe a dimension adaptive quadrature algorithm based on an algorithm of Hegland (ANZIAM J. 44 (E), C335–C353, 2003), and...[Show more]

CollectionsANU Research Publications
Date published: 2015-04-25
Type: Journal article
URI: http://hdl.handle.net/1885/15205
Source: Numerical Algorithms
DOI: 10.1007/s11075-015-9958-9

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