Numerical Quadrature over the Surface of a Sphere

DOI10.1111/sapm.12106zbMath1350.65020OpenAlexW2289542516MaRDI QIDQ2822875

Bengt Fornberg, Jonah A. Reeger

Publication date: 5 October 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12106

zbMATH Keywords

algorithmfinite differencesquadrature formulassurface of a sphere

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Transport schemes in spherical geometries using spline-based RBF-FD with polynomials ⋮ Approximate integrals over the volume of the ball ⋮ Approximate integrals over bounded volumes with smooth boundaries ⋮ Towards stability results for global radial basis function based quadrature formulas ⋮ Numerical simulations of a sphere settling in simple shear flows of yield stress fluids ⋮ Numerical quadrature over smooth surfaces with boundaries ⋮ A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds ⋮ Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions ⋮ Near-algebraic Tchakaloff-like quadrature on spherical triangles ⋮ Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part II ⋮ RBF-LOI: augmenting radial basis functions (RBFs) with least orthogonal interpolation (LOI) for solving PDEs on surfaces ⋮ ARPIST: provably accurate and stable numerical integration over spherical triangles ⋮ RBF based quadrature on the sphere

Uses Software

• STRIPACK

Cites Work

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