Numerical quadrature over smooth, closed surfaces.
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ABSTRACT:
SUBMITTER: Reeger JA
PROVIDER: S-EPMC5095443 | biostudies-other | 2016 Oct
REPOSITORIES: biostudies-other
Publications
Numerical quadrature over smooth, closed surfaces.
Reeger J A JA Fornberg B B Watts M L ML
Proceedings. Mathematical, physical, and engineering sciences 20161001 2194
The numerical approximation of definite integrals, or quadrature, often involves the construction of an interpolant of the integrand and its subsequent integration. In the case of one dimension it is natural to rely on polynomial interpolants. However, their extension to two or more dimensions can be costly and unstable. An efficient method for computing surface integrals on the sphere is detailed in the literature (Reeger & Fornberg 2016 <i>Stud. Appl. Math.</i><b>137</b>, 174-188. (doi:10.1111 ...[more]
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