A fully discretised polynomial approximation on spherical shells

DOI10.1007/s13137-016-0084-1zbMath1351.41003OpenAlexW2466642351MaRDI QIDQ338715

Yoshihito Kazashi

Publication date: 7 November 2016

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-016-0084-1

zbMATH Keywords

polynomial approximationhyperinterpolationspherical shellsChebyshev interpolationpolynomial interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Approximation by polynomials (41A10) Geophysics (86A99)

Related Items (3)

Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere ⋮ Hyperinterpolation for Spectral Wave Propagation Models in Three Dimensions ⋮ A fully discretised filtered polynomial approximation on spherical shells

Uses Software

• Chebfun

Cites Work

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• Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball
• Polynomial interpolation and hyperinterpolation over general regions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Über die Approximationsordnung bei Kugelfunktionen und algebraischen Polynomen
• Spectral Methods
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Solving PDEs with radial basis functions
• Spectral Methods
• Scattered Data Approximation

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