Optimized higher-order automatic differentiation for the Faddeeva function

DOI10.1016/j.cpc.2016.04.009zbMath1378.65067OpenAlexW2343929861WikidataQ105651651 ScholiaQ105651651MaRDI QIDQ1682543

Isabelle Charpentier

Publication date: 30 November 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2016.04.009

zbMATH Keywords

automatic differentiationTaylor coefficientsBrendel-Bormann modelcomplex refractive indexfunctions of mathematical physicshigher-order dispersion parameters

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60) Numerical differentiation (65D25) Packaged methods for numerical algorithms (65Y15) Numerical aspects of recurrence relations (65Q30)

Related Items (2)

Arbogast: Higher order automatic differentiation for special functions with Modular C ⋮ HOAD_MathFun

Uses Software

• dcc

Cites Work

• Unnamed Item
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• Exponential polynomials
• Exponential asymptotics of the Voigt functions
• On higher-order differentiation in nonlinear mechanics
• Algorithm 916
• The Art of Differentiating Computer Programs
• Evaluating Derivatives
• Fast higher-order derivative tensors with Rapsodia
• Solving Ordinary Differential Equations Using Taylor Series
• Algorithm 755: ADOL-C
• More efficient computation of the complex error function

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