Efficient multiple-precision computation of the scaled complementary error function and the Dawson integral

DOI10.1007/s11075-023-01608-8OpenAlexW4385699134MaRDI QIDQ6200839

Mofreh R. Zaghloul

Publication date: 20 February 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01608-8

zbMATH Keywords

special functionsFortranDawson integralscaled complementary error function

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Algorithms for approximation of functions (65D15)

Cites Work

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• Constrained near-minimax rational approximations to Dawson's integral
• Shifted rectangular quadrature rule approximations to Dawson's integral \(F(x)\)
• Numerical solution of the expanding stellar atmosphere problem
• A rational approximation of the Dawson's integral for efficient computation of the complex error function
• Algorithm 916
• Chebyshev Approximation of (1 + 2x)exp(x 2 )erfc x in 0 x < ∞
• A Continued Fraction Expansion, with a Truncation Error Estimate, for Dawson's Integral
• Algorithm 715: SPECFUN–a portable FORTRAN package of special function routines and test drivers
• Remark on “Algorithm 680
• Exapansions of Dawson's Function in a Series of Chebyshev Polynomials
• Spectral Methods
• Rational Chebyshev Approximations for the Error Function
• Chebyshev Approximations for Dawson's Integral
• Automatic computing methods for special functions
• Using accurate arithmetics to improve numerical reproducibility and stability in parallel applications

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