ARPIST: provably accurate and stable numerical integration over spherical triangles

DOI10.1016/j.cam.2022.114822zbMath1498.65037arXiv2201.00261OpenAlexW4226185891WikidataQ114201616 ScholiaQ114201616MaRDI QIDQ2087523

Xiangmin Jiao, Yipeng Li

Publication date: 21 October 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.00261

zbMATH Keywords

spherical trianglessurface integrationaccuracy and stability

Mathematics Subject Classification ID

Roundoff error (65G50) Numerical integration (65D30)

Uses Software

• STRIPACK
• Hull

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local numerical integration on the sphere
• Spherical harmonics and approximations on the unit sphere. An introduction
• WLS-ENO remap: superconvergent and non-oscillatory weighted least squares data transfer on surfaces
• An encyclopaedia of cubature formulas.
• Near-algebraic Tchakaloff-like quadrature on spherical triangles
• Higher chain formula proved by combinatorics
• An efficient quadrature rule on the cubed sphere
• Kernel based quadrature on spheres and other homogeneous spaces
• Numerical hyperinterpolation over spherical triangles
• Numerical Quadrature over the Surface of a Sphere
• Algorithm 772
• Numerical integration on the sphere
• Quadratures on a sphere
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• High-Order Numerical Integration over Discrete Surfaces
• Optimal Numerical Integration on a Sphere

This page was built for publication: ARPIST: provably accurate and stable numerical integration over spherical triangles