We frequently need to calculate the Neumann function Nν(x) of complex order ν numerically in order to solve boundary problems on electromagnetic fields. This paper presents a new method for the numerical calculation of Nν(x) of complex order ν. This method can calculate Nν(x) precisely even when the order ν is close to an integer n, and the algorithm by the method is very simple.
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Masao KODAMA, Masayuki YAMASATO, Shinya YAMASHIRO, "Numerical Calculation of the Neumann Function Nν(x) of Complex Order ν" in IEICE TRANSACTIONS on Fundamentals,
vol. E78-A, no. 6, pp. 727-736, June 1995, doi: .
Abstract: We frequently need to calculate the Neumann function Nν(x) of complex order ν numerically in order to solve boundary problems on electromagnetic fields. This paper presents a new method for the numerical calculation of Nν(x) of complex order ν. This method can calculate Nν(x) precisely even when the order ν is close to an integer n, and the algorithm by the method is very simple.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e78-a_6_727/_p
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@ARTICLE{e78-a_6_727,
author={Masao KODAMA, Masayuki YAMASATO, Shinya YAMASHIRO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Numerical Calculation of the Neumann Function Nν(x) of Complex Order ν},
year={1995},
volume={E78-A},
number={6},
pages={727-736},
abstract={We frequently need to calculate the Neumann function Nν(x) of complex order ν numerically in order to solve boundary problems on electromagnetic fields. This paper presents a new method for the numerical calculation of Nν(x) of complex order ν. This method can calculate Nν(x) precisely even when the order ν is close to an integer n, and the algorithm by the method is very simple.},
keywords={},
doi={},
ISSN={},
month={June},}
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TY - JOUR
TI - Numerical Calculation of the Neumann Function Nν(x) of Complex Order ν
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 727
EP - 736
AU - Masao KODAMA
AU - Masayuki YAMASATO
AU - Shinya YAMASHIRO
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E78-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1995
AB - We frequently need to calculate the Neumann function Nν(x) of complex order ν numerically in order to solve boundary problems on electromagnetic fields. This paper presents a new method for the numerical calculation of Nν(x) of complex order ν. This method can calculate Nν(x) precisely even when the order ν is close to an integer n, and the algorithm by the method is very simple.
ER -