Chebyshev approximations for Dawson’s integral
Open Access
- 1 January 1970
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 24 (109) , 171-178
- https://doi.org/10.1090/s0025-5718-1970-0258236-8
Abstract
Rational Chebyshev approximations to Dawson’s integral are presented in well-conditioned forms for | x | ≦ 2.5 , 2.5 ≦ | x | ≦ 3.5 , 3.5 ≦ | x | ≦ 5.0 |x| \leqq 2.5, 2.5 \leqq |x| \leqq 3.5, 3.5 \leqq |x| \leqq 5.0 and 5.0 ≦ | x | 5.0 \leqq |x| . Maximal relative errors range down to between 2 × 10 − 20 2 \times {10^{ - 20}} and 7 × 10 − 22 7 \times {10^{ - 22}} .Keywords
This publication has 6 references indexed in Scilit:
- Rational Chebyshev Approximations for the Error FunctionMathematics of Computation, 1969
- Rational Chebyshev approximation using linear equationsNumerische Mathematik, 1968
- Spectrum line profiles: The Voigt functionJournal of Quantitative Spectroscopy and Radiative Transfer, 1967
- Rational chebyshev approximation using interpolationNumerische Mathematik, 1966
- Exapansions of Dawson's Function in a Series of Chebyshev PolynomialsMathematics of Computation, 1964
- Expansion of Dawson’s function in a series of Chebyshev polynomialsMathematics of Computation, 1964