article

Free access

Algorithm 680: evaluation of the complex error function

Editor: John A. Rice Authors:

G. P. M. Poppe,

C. M. J. WijersAuthors Info & Claims

ACM Transactions on Mathematical Software (TOMS), Volume 16, Issue 1

Page 47

https://doi.org/10.1145/77626.77630

Published: 01 March 1990 Publication History

PDF eReader

Abstract

No abstract available.

Supplementary Material

GZ File (680.gz)

complex error function Gams: C8a

Download
2.17 KB

References

[1]

GAUTSCHI, W. Efficient computation of the complex error function. SIAM J. Numer. Anal. 7, 187 (1970).

Google Scholar

[2]

GAUTSCHI, W. Algorithm 363--Complex error function. Commun. ACM 12, 635 (1969).

Crossref

Google Scholar

[3]

POPPE, G. P. M., AND WIJERS, C. M.J. More efficient computation of the complex error function. This issue, pp. 38-46.

Crossref

Google Scholar

Cited By

View all

Zaghloul M(2024)Efficient numerical algorithms for multi-precision and multi-accuracy calculation of the error functions and Dawson integral with complex argumentsNumerical Algorithms10.1007/s11075-023-01727-297:2(869-887)Online publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1007/s11075-023-01727-2
Firouzi FSadrnezhaad S(2023)Revisiting the experimental dielectric function datasets of gold in accordance with the Brendel-Bormann modelJournal of Modern Optics10.1080/09500340.2023.221978170:4(243-252)Online publication date: 6-Jun-2023
https://doi.org/10.1080/09500340.2023.2219781
Kawahara HKawashima YMasuda KCrossfield IPannier Evan den Bekerom D(2022)Autodifferentiable Spectrum Model for High-dispersion Characterization of Exoplanets and Brown DwarfsThe Astrophysical Journal Supplement Series10.3847/1538-4365/ac3b4d258:2(31)Online publication date: 31-Jan-2022
https://doi.org/10.3847/1538-4365/ac3b4d
Show More Cited By

Index Terms

Algorithm 680: evaluation of the complex error function
1. Mathematics of computing
  1. Mathematical analysis
    1. Functional analysis
      1. Approximation
2. Theory of computation
  1. Design and analysis of algorithms
    1. Approximation algorithms analysis

Recommendations

Remark on “Algorithm 680: Evaluation of the Complex Error Function”: Cause and Remedy for the Loss of Accuracy Near the Real Axis

In this remark, we identify the cause of the loss of accuracy in the computation of the Faddeyeva function, w(z), near the real axis when using Algorithm 680. We provide a simple correction to this problem that allows us to restore this code as one of ...
Algorithm 363: complex error function [S15]
Complex gamma function with error control

An algorithm to compute the gamma function and the loggamma function of a complex variable is presented. The standard algorithm is modified in several respects to insure the continuity of the function value and to reduce accumulation of round-off ...

Comments

Information & Contributors

Information

Published In

cover image ACM Transactions on Mathematical Software

ACM Transactions on Mathematical Software Volume 16, Issue 1

March 1990

109 pages

ISSN:0098-3500

EISSN:1557-7295

DOI:10.1145/77626

Editor:
John A. Rice

Issue’s Table of Contents

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 March 1990

Published in TOMS Volume 16, Issue 1

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Badges

Qualifiers

Article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

84
Total Citations
View Citations
2,040
Total Downloads

Downloads (Last 12 months)70
Downloads (Last 6 weeks)7

Reflects downloads up to 28 Oct 2024

Other Metrics

View Author Metrics

Citations

Cited By

View all

Zaghloul M(2024)Efficient numerical algorithms for multi-precision and multi-accuracy calculation of the error functions and Dawson integral with complex argumentsNumerical Algorithms10.1007/s11075-023-01727-297:2(869-887)Online publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1007/s11075-023-01727-2
Firouzi FSadrnezhaad S(2023)Revisiting the experimental dielectric function datasets of gold in accordance with the Brendel-Bormann modelJournal of Modern Optics10.1080/09500340.2023.221978170:4(243-252)Online publication date: 6-Jun-2023
https://doi.org/10.1080/09500340.2023.2219781
Kawahara HKawashima YMasuda KCrossfield IPannier Evan den Bekerom D(2022)Autodifferentiable Spectrum Model for High-dispersion Characterization of Exoplanets and Brown DwarfsThe Astrophysical Journal Supplement Series10.3847/1538-4365/ac3b4d258:2(31)Online publication date: 31-Jan-2022
https://doi.org/10.3847/1538-4365/ac3b4d
Wang YZhou BWang BZhao RLiu QDai M(2022)On the Highly Accurate Evaluation of the Voigt/Complex Error Function with Small Imaginary ArgumentMathematics10.3390/math1003030810:3(308)Online publication date: 19-Jan-2022
https://doi.org/10.3390/math10030308
Wang YZhou BZhao RWang BLiu QDai M(2022)Super-Accuracy Calculation for the Half Width of a Voigt ProfileMathematics10.3390/math1002021010:2(210)Online publication date: 11-Jan-2022
https://doi.org/10.3390/math10020210
Sary GGremillet L(2022)Hybrid Zakharov-kinetic simulation of nonlinear stimulated Raman scatteringPhysics of Plasmas10.1063/5.009021129:7Online publication date: 5-Jul-2022
https://doi.org/10.1063/5.0090211
Zaghloul M(2019)Remark on “Algorithm 680ACM Transactions on Mathematical Software10.1145/330968145:2(1-3)Online publication date: 26-Apr-2019
https://dl.acm.org/doi/10.1145/3309681
Stevanovic ITerzic ACrespo-Valero P(2019)A Review of 3-D Green's Functions for Integral Equation Modeling of Electromagnetic Scattering from 1/2/3-D Periodic Structures Using Ewald Transformation2019 International Conference on Electromagnetics in Advanced Applications (ICEAA)10.1109/ICEAA.2019.8879421(0701-0706)Online publication date: Oct-2019
https://doi.org/10.1109/ICEAA.2019.8879421
Kim MSong K(2019)Theoretical and numerical analyses of the effect of cross-diffusion on the gravitational instability in ternary mixturesInternational Journal of Heat and Mass Transfer10.1016/j.ijheatmasstransfer.2019.118511143(118511)Online publication date: Dec-2019
https://doi.org/10.1016/j.ijheatmasstransfer.2019.118511
Dai YLi TLiu BSong MChen H(2018)Exploiting Dynamic Thermal Energy Harvesting for Reusing in Smartphone with Mobile ApplicationsACM SIGPLAN Notices10.1145/3296957.317318853:2(243-256)Online publication date: 19-Mar-2018
https://dl.acm.org/doi/10.1145/3296957.3173188
Show More Cited By

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Get Access

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Abstract

Supplementary Material

References

Cited By

Index Terms

Recommendations

Remark on “Algorithm 680: Evaluation of the Complex Error Function”: Cause and Remedy for the Loss of Accuracy Near the Real Axis

Algorithm 363: complex error function [S15]

Complex gamma function with error control

Comments

Information

Published In

Publisher

Publication History

Permissions

Check for updates

Badges

Qualifiers

Contributors

Other Metrics

Bibliometrics

Article Metrics

Other Metrics

Citations

Cited By

View options

PDF

eReader

Get Access

Login options

Full Access

Figures

Other

Share

Share this Publication link

Share on social media

Affiliations