Orthogonal polynomials in and on a quadratic surface of revolution

DOI10.1090/mcom/3544zbMath1503.42024arXiv1906.12305OpenAlexW3010641450MaRDI QIDQ5118855

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Publication date: 27 August 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.12305

zbMATH Keywords

orthogonal polynomialsapproximation methodcubature rulequadratic surface of revolution

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for discrete and fast Fourier transforms (65T50) Algorithms for approximation of functions (65D15) Numerical quadrature and cubature formulas (65D32)

Related Items (12)

Fast algorithms using orthogonal polynomials ⋮ A gyroscopic polynomial basis in the sphere ⋮ A static memory sparse spectral method for time-fractional PDEs ⋮ Orthogonal polynomials on a class of planar algebraic curves ⋮ Computation of power law equilibrium measures on balls of arbitrary dimension ⋮ Orthogonal polynomials on a planar quartic curve ⋮ Orthogonal polynomials on planar cubic curves ⋮ Fourier orthogonal series on a paraboloid ⋮ Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems ⋮ Orthogonal polynomials and Fourier orthogonal series on a cone ⋮ Bivariate Koornwinder-Sobolev orthogonal polynomials ⋮ Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid

Cites Work

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• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Orthogonal structure on a quadratic curve
• Sparse spectral and ‐finite element methods for partial differential equations on disk slices and trapeziums
• Orthogonal Polynomials of Several Variables
• Disintegration of water drops in an electric field

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