An Algorithm for the Convolution of Legendre Series

DOI10.1137/140955835zbMath1296.33010OpenAlexW2039218513MaRDI QIDQ2878950

Nicholas Hale, Alex Townsend

Publication date: 5 September 2014

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

Full work available at URL: https://semanticscholar.org/paper/76d7d7d95b5a4513650220803e9625fabe3d7f2a

zbMATH Keywords

Fourier transformconvolutionLegendre polynomialspherical Bessel function

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

Spectral Approximation of Convolution Operators ⋮ A Fast Analysis-Based Discrete Hankel Transform Using Asymptotic Expansions ⋮ A Fast Algorithm for the Convolution of Functions with Compact Support Using Fourier Extensions ⋮ Pricing European-type, early-exercise and discrete barrier options using an algorithm for the convolution of Legendre series ⋮ Fast polynomial transforms based on Toeplitz and Hankel matrices ⋮ $C^\infty$ Compactly Supported and Positive Definite Radial Kernels

Uses Software

• PaCAL

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