Analytic Logarithm Integrals with Near-Machine Precision for Linear Source Cells

Jordon N. Blackburn; John C. Young

doi:10.1109/AP-S/USNC-URSI47032.2022.9887263

Analytic Logarithm Integrals with Near-Machine Precision for Linear Source Cells

Jordon N. Blackburn
, John C. Young

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

Two-dimensional, electrostatic integral equation integrands are often the product of a logarithmic kernel and a polynomial basis. Analytic expressions for these integrals with monomial bases are derived for linear source cells. Results for the analytic integrations are compared against numerical quadrature results using an arbitrary-precision math library. Near near-machine precision accuracy is observed.

Original language	English
Title of host publication	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings
Pages	1138-1139
Number of pages	2
ISBN (Electronic)	9781665496582
DOIs	https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9887263
State	Published - 2022
Event	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Denver, United States Duration: Jul 10 2022 → Jul 15 2022

Publication series

Name	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings

Conference

Conference	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022
Country/Territory	United States
City	Denver
Period	7/10/22 → 7/15/22

Bibliographical note

Publisher Copyright:
© 2022 IEEE.

ASJC Scopus subject areas

Computer Networks and Communications
Signal Processing
Instrumentation

Access to Document

10.1109/AP-S/USNC-URSI47032.2022.9887263

Cite this

Blackburn, J. N., & Young, J. C. (2022). Analytic Logarithm Integrals with Near-Machine Precision for Linear Source Cells. In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings (pp. 1138-1139). (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings). https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9887263

Blackburn, Jordon N. ; Young, John C. / Analytic Logarithm Integrals with Near-Machine Precision for Linear Source Cells. 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022. pp. 1138-1139 (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings).

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title = "Analytic Logarithm Integrals with Near-Machine Precision for Linear Source Cells",

abstract = "Two-dimensional, electrostatic integral equation integrands are often the product of a logarithmic kernel and a polynomial basis. Analytic expressions for these integrals with monomial bases are derived for linear source cells. Results for the analytic integrations are compared against numerical quadrature results using an arbitrary-precision math library. Near near-machine precision accuracy is observed.",

author = "Blackburn, \{Jordon N.\} and Young, \{John C.\}",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 ; Conference date: 10-07-2022 Through 15-07-2022",

year = "2022",

doi = "10.1109/AP-S/USNC-URSI47032.2022.9887263",

language = "English",

series = "2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings",

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}

Blackburn, JN & Young, JC 2022, Analytic Logarithm Integrals with Near-Machine Precision for Linear Source Cells. in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings, pp. 1138-1139, 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022, Denver, United States, 7/10/22. https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9887263

Analytic Logarithm Integrals with Near-Machine Precision for Linear Source Cells. / Blackburn, Jordon N.; Young, John C.
2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022. p. 1138-1139 (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Two-dimensional, electrostatic integral equation integrands are often the product of a logarithmic kernel and a polynomial basis. Analytic expressions for these integrals with monomial bases are derived for linear source cells. Results for the analytic integrations are compared against numerical quadrature results using an arbitrary-precision math library. Near near-machine precision accuracy is observed.

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Blackburn JN, Young JC. Analytic Logarithm Integrals with Near-Machine Precision for Linear Source Cells. In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022. p. 1138-1139. (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings). doi: 10.1109/AP-S/USNC-URSI47032.2022.9887263

Analytic Logarithm Integrals with Near-Machine Precision for Linear Source Cells

Abstract

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