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Fast and accurate determination of the Wigner rotation matrices in the fast multipole method

机译：快速多极方法快速准确地确定维格纳旋转矩阵

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In the rotation based fast multipole method the accurate determination of the Wigner rotation matrices is essential. The combination of two recurrence relations and the control of the error accumulations allow a very precise determination of the Wigner rotation matrices. The recurrence formulas are simple, efficient, and numerically stable. The advantages over other recursions are documented.

机译：在基于旋转的快速多极方法中，维格纳旋转矩阵的准确确定至关重要。两种递归关系的组合以及误差累积的控制允许对维格纳旋转矩阵进行非常精确的确定。递归公式简单，有效且数值稳定。记录了相对于其他递归的优势。

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作者
Dachsel H.;
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年度 2006
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原文格式 PDF
正文语种 eng
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入库时间 2022-08-31 15:54:42

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1. Fast and accurate determination of the Wigner rotation matrices in the fast multipole method [J] . Holger Dachsel The Journal of Chemical Physics . 2006,第14期

机译：快速多极方法快速准确地确定维格纳旋转矩阵
2. Fast and accurate determination of the Wigner rotation matrices in the fast multipole method [J] . Dachsel H The Journal of Chemical Physics . 2006,第14期

机译：快速多极方法快速准确地确定维格纳旋转矩阵
3. Fast and accurate determination of the Wigner rotation matrices in the fast multipole method [J] . Holger Dachsel The Journal of Chemical Physics . 2006,第14期

机译：快速多极方法快速准确地确定维格纳旋转矩阵
4. An enhanced mixed-form fast multipole algorithm using rotation methods [C] . L. L. Meng, L. J. Jiang IEEE International Symposium on Antennas and Propagation . 2013

机译：使用旋转方法增强混合形式快速多极算法
5. Fast transforms based on structured matrices with applications to the fast multipole method. [D] . Tang, Zhihui. 2004

机译：基于结构化矩阵的快速变换及其在快速多极点方法中的应用。
6. Fast inverse scattering solutions using the distorted Born iterative method and the multilevel fast multipole algorithm [O] . Andrew J. Hesford, Weng C. Chew -1

机译：使用失真的Born迭代方法和多级快速多极子算法的快速逆散射解
7. The bacterial identification and antimicrobial susceptibility testing are usually performed manually. Recently, the number of samples has increased and the need for automatification has grown. BioMerieux has investigated Vitek2 for this purpose. HUSLAB has assigned us to compare the identification and antimicrobial results with respect to routine methods and Vitek2. Furthermore, we evaluate test reactions, ESBL (Extended Spectrum Beta-Lactamase) production and the time what it takes to get results with Vitek2. In this study, we examined a total of 183 bacterial isolates including 76 ESBL-strains, 40 nonfermenting rods, 41 fastidious bacteria and 26 fresh clinical isolates. The results of routine methods were gathered from the patient database and following this, compared to the results given by Vitek2. Vitek2 correctly identified more than 96 f the ESBL-strains and fresh clinical isolates. The results of nonfermenting rods and fastidious bacteri a were 70 oncordant with those of the routine methods. Test reaction results of Api20E were 94 nd Api20NE 70 n concordance with Vitek2 results. Approximately 80 f all Vitek2 antimicrobial results and 90 f ESBL test results were correct. Compared to earlier studies, Vitek2 performed the tests faster than the routine methods. These results suggest that Vitek2 is capable of giving rapid and accurate results. However, nonfermenting rods and fastidious bacteria should be studied further. [O] . Järveläinen Marika, Roslund Iira, Silander Maarit 2006

机译：细菌鉴定和抗菌药敏试验通常是手动进行的。最近，样品的数量增加了，并且对自动化的需求也在增长。 BioMerieux为此进行了Vitek2的研究。 HUSLAB已指派我们比较常规方法和Vitek2的鉴定和抗菌结果。此外，我们还评估了测试反应，ESBL（扩展频谱β-内酰胺酶）的产生以及使用Vitek2获得结果所需的时间。在这项研究中，我们检查了总共183个细菌分离株，包括76个ESBL菌株，40个非发酵棒，41个营养细菌和26个新鲜临床分离株。从患者数据库中收集常规方法的结果，然后将其与Vitek2给出的结果进行比较。 Vitek2正确鉴定出超过96种ESBL菌株和新鲜的临床分离株。与常规方法相比，非发酵棒和精制细菌的结果为70。 Api20E的测试反应结果与Vitek2结果一致为94nd Api20NE 70 n。所有Vitek2抗菌结果约80 f和ESBL测试结果90 f正确。与早期的研究相比，Vitek2的测试速度快于常规方法。这些结果表明Vitek2能够给出快速而准确的结果。但是，应进一步研究非发酵棒和营养细菌。

Fast and accurate determination of the Wigner rotation matrices in the fast multipole method

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