Spectral Approximation of Convolution Operators

DOI10.1137/17M1149249zbMath1396.65158arXiv1804.08762WikidataQ129433134 ScholiaQ129433134MaRDI QIDQ4580286

Kuan Xu, Ana F. Loureiro

Publication date: 14 August 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08762

zbMATH Keywords

convolutionLaguerre polynomialLegendre polynomialGegenbauer polynomialoperator approximationChebyshev polynomialorthogonal polynomialJacobi polynomialultraspherical polynomialpectral methodVolterra convolution integral

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for integral transforms (65R10) Linear operator approximation theory (47A58) Convolution, factorization for one variable harmonic analysis (42A85) Approximation by polynomials (41A10) Numerical aspects of recurrence relations (65Q30)

Related Items (3)

A convolution quadrature using derivatives and its application ⋮ Volterra-type convolution of classical polynomials ⋮ A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle

Uses Software

• DLMF
• Chebfun

Cites Work

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