Rational approximations, software and test methods for sine and cosine integrals

DOI10.1007/BF02142806zbMath0863.65004MaRDI QIDQ1815700

Allan J. MacLeod

Publication date: 8 June 1997

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

zbMATH Keywords

softwareperformancerational approximationstest procedurecosine integral \(Ci(x)\)sine integral \(Si(x)\)

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items

An automatic quadrature method for semi-infinite integrals of exponentially decaying functions and its Matlab code ⋮ na9

Uses Software

• MACHAR
• SPECFUN
• Netlib

Cites Work

• Unnamed Item
• Rational Chebyshev approximation using linear equations
• Algorithm 665: Machar: a subroutine to dynamically determined machine parameters
• Algorithm 715: SPECFUN–a portable FORTRAN package of special function routines and test drivers
• The use of Taylor series to test accuracy of function programs
• Computation of Successive Derivatives of f(z)/z
• Recursive computation of certain derivatives&a study of error propagation

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