Fast and accurate computation of the Weber parabolic cylinder function W(a, x)

DOI10.1093/imanum/drq012zbMath1222.65023OpenAlexW2144430424MaRDI QIDQ3088354

Amparo Gil, Javier Segura, Nico M. Temme

Publication date: 19 August 2011

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drq012

zbMATH Keywords

numerical examplesasymptotic analysisChebyshev seriesMaclaurin seriesChebyshev expansionsinverted harmonic oscillatorWeber parabolic cylinder functionsevaluation of special functionsTaylor methods for differential equations

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20)

Related Items (4)

Computation of parabolic cylinder functions having complex argument ⋮ Numerical methods for the computation of the confluent and Gauss hypergeometric functions ⋮ Uniform asymptotic expansions for solutions of the parabolic cylinder and Weber equations ⋮ Schwinger pair production by electric field coupled to inflaton

Uses Software

• Algorithm 850
• Algorithm 838
• AIZ
• BIZ

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