Document Type
Conference Paper
Publication Date
2017
DOI
10.1063/1.4975862
Publication Title
AIP Conference Proceedings
Volume
1812
Issue
1
Pages
050001
Conference Name
17th Advanced Accelerator Concepts Workshop, AAC 2016
Abstract
The fast multipole method (FMM) using traceless totally symmetric Cartesian tensor to calculate the Coulomb interaction between charged particles will be presented. The Cartesian tensor based FMM can be generalized to treat other non-oscillating interactions with the help of the differential algebra or the truncated power series algebra. Issues on implementation of the FMM in beam dynamic simulations are also discussed. © 2017 Author(s).
Original Publication Citation
Zhang, H., Huang, H., Li, R., Chen, J., & Luo, L. S. (2017, March). Fast multipole method using Cartesian tensor in beam dynamic simulation. In AIP Conference Proceedings (Vol. 1812, No. 1, p. 050001). AIP Publishing. doi:10.1063/1.4975862
ORCID
0000-0003-1215-7892 (Luo)
Repository Citation
Zhang, He; Huang, He; Li, Rui; Chen, Jie; and Luo, Li-Shi, "Fast Multipole Method Using Cartesian Tensor in Beam Dynamic Simulation" (2017). Mathematics & Statistics Faculty Publications. 18.
https://digitalcommons.odu.edu/mathstat_fac_pubs/18