Fast multipole method using Cartesian tensor in beam dynamic simulation | Zendy

He Zhang | Zendy; He Huang | Zendy; Rui Li | Zendy; Jie Chen | Zendy; LiShi Luo | Zendy

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Fast multipole method using Cartesian tensor in beam dynamic simulation

Author(s) -

He Zhang,

He Huang,

Rui Li,

Jie Chen,

LiShi Luo

Publication year - 2017

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.4975862

Subject(s) - cartesian tensor , multipole expansion , cartesian coordinate system , tensor (intrinsic definition) , fast multipole method , beam (structure) , coulomb , series (stratigraphy) , algebra over a field , computer science , physics , computational science , tensor density , tensor field , mathematics , geometry , exact solutions in general relativity , pure mathematics , quantum mechanics , optics , biology , electron , paleontology

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.

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