Computation of the Complex Error Function Using Modified Trapezoidal Rules

DOI10.1137/20M1373037zbMath1476.65027arXiv2010.05659MaRDI QIDQ5157400

Mohammad Alazah, Simon N. Chandler-Wilde

Publication date: 18 October 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.05659

zbMATH Keywords

complementary error functiontrapezoidal ruleFaddeeva function

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Computation of special functions and constants, construction of tables (65D20) Numerical integration (65D30) Representations of entire functions of one complex variable by series and integrals (30D10)

Uses Software

• DLMF
• Algorithm 916
• Algorithm 985
• Faddeeva
• Faddeyeva

Cites Work

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• Algorithm 916
• Computation of the Complex Error Function
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• More efficient computation of the complex error function
• Algorithm 985
• Error-Bounds for the Evaluation of Integrals by the Euler-Maclaurin Formula and by Gauss-Type Formulae
• On the Evaluation of Integrals Related to the Error Function
• Efficient Computation of the Complex Error Function
• Uniform Computation of the Error Function and Other Related Functions
• A Note on the Evaluation of the Complementary Error Function
• Integration Formulae Based on the Trapezoidal Formula
• Formulas for Calculating the Error Function of a Complex Variable
• A Method for the Calculation of the Zeta-Function