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".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
빠른 비균질 평면파 알고리즘에 대한 그린의 자유 공간 기능은 복소 평면에서의 통합으로 표현됩니다. 계산 과정의 오류는 샘플링 지점 수, 적분 경로 잘림 및 외삽에 의해 결정됩니다. 따라서 오류 제어 방법은 고속 다중극 방법과 다릅니다. 박스 구현을 위한 빠른 비균질 평면파 알고리즘의 최악의 경우 상호 작용에 대해 논의하고 계산 오류의 상한과 하한을 정의합니다.
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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},}
부
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 -