An adaptive hierarchical approximation method on the sphere using axisymmetric locally supported basis functions

DOI10.1007/BF02247405zbMath0857.65017OpenAlexW1522496282MaRDI QIDQ1924318

Yanyan Li

Publication date: 9 March 1997

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02247405

zbMATH Keywords

error estimatessphereadaptive algorithmsingular integralsquadrature formulaBernstein polynomialscattered dataaxisymmetric locally supported basis functionstopographic map of Australia

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Computational methods for problems pertaining to geophysics (86-08) Algorithms for approximation of functions (65D15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

An adaptive wavelet-vaguelette algorithm for the solution of PDEs ⋮ Locally supported approximate identities on the unit ball

Cites Work

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• Modified multiquadric methods for scattered data interpolation over a sphere
• Spherical wavelet transform and its discretization
• Why Particle Methods Work
• Non‐orthogonal expansions on the sphere
• Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten
• Positive Zonal Functions on Spheres
• On a Problem of Mihlin

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