The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
A função de espaço livre de Green para o algoritmo de onda plana não homogênea rápida é representada por uma integração no plano complexo. O erro no processo computacional é determinado pelo número de pontos de amostragem, pelo truncamento do caminho de integração e pela extrapolação. Portanto, o método de controle de erros é diferente daquele do método multipolo rápido. Discutiremos as interações de pior caso do algoritmo de onda plana não homogênea rápida para a implementação da caixa e definiremos os limites superior e inferior do erro computacional.
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Shinichiro OHNUKI, "Error Bounds of the Fast Inhomogeneous Plane Wave Algorithm" in IEICE TRANSACTIONS on Electronics,
vol. E92-C, no. 1, pp. 169-172, January 2009, doi: 10.1587/transele.E92.C.169.
Abstract: The Green's function of free space for the fast inhomogeneous plane wave algorithm is represented by an integration in the complex plane. The error in the computational process is determined by the number of sampling points, the truncation of the integration path, and the extrapolation. Therefore, the error control method is different from that for the fast multipole method. We will discuss the worst-case interactions of the fast inhomogeneous plane wave algorithm for the box implementation and define the upper and lower bounds of the computational error.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E92.C.169/_p
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@ARTICLE{e92-c_1_169,
author={Shinichiro OHNUKI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Error Bounds of the Fast Inhomogeneous Plane Wave Algorithm},
year={2009},
volume={E92-C},
number={1},
pages={169-172},
abstract={The Green's function of free space for the fast inhomogeneous plane wave algorithm is represented by an integration in the complex plane. The error in the computational process is determined by the number of sampling points, the truncation of the integration path, and the extrapolation. Therefore, the error control method is different from that for the fast multipole method. We will discuss the worst-case interactions of the fast inhomogeneous plane wave algorithm for the box implementation and define the upper and lower bounds of the computational error.},
keywords={},
doi={10.1587/transele.E92.C.169},
ISSN={1745-1353},
month={January},}
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TY - JOUR
TI - Error Bounds of the Fast Inhomogeneous Plane Wave Algorithm
T2 - IEICE TRANSACTIONS on Electronics
SP - 169
EP - 172
AU - Shinichiro OHNUKI
PY - 2009
DO - 10.1587/transele.E92.C.169
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E92-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2009
AB - The Green's function of free space for the fast inhomogeneous plane wave algorithm is represented by an integration in the complex plane. The error in the computational process is determined by the number of sampling points, the truncation of the integration path, and the extrapolation. Therefore, the error control method is different from that for the fast multipole method. We will discuss the worst-case interactions of the fast inhomogeneous plane wave algorithm for the box implementation and define the upper and lower bounds of the computational error.
ER -