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On the mathematical nature of Guseinov’s rearranged one-range addition theorems for Slater-type functions

✍ Scribed by Ernst Joachim Weniger

Publisher: Springer
Year: 2011
Tongue: English
Weight: 725 KB
Volume: 50
Category: Article
ISSN: 0259-9791
DOI: 10.1007/s10910-011-9914-4

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📜 SIMILAR VOLUMES

One-range addition theorems for derivati

One-range addition theorems for derivatives of Slater-type orbitals

✍ Israfil Guseinov 📂 Article 📅 2004 🏛 Springer-Verlag 🌐 English ⚖ 204 KB

On the accuracy of the addition theorem

On the accuracy of the addition theorem for a scalar Green's function used in the FMM

✍ Jian-Ying Li; Le-Wei Li; Ban-Leong Ooi; Pang-Shyan Kooi; Mook-Seng Leong 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 219 KB 👁 1 views

## Abstract The addition theorem for a free‐space scalar Green's function plays an important role in the fast multipole method (FMM). Therefore, both the accuracy and convergence are issues of concern in the code implementation of the FMM. In this paper, the addition theorem, when used in an unboun