THE FAST MULITPOLE METHOD IN THE DIFFERENTIAL ALGEBRA FRAMEWORK

被引：0

作者：

Zhang, H. ^{[1
]}

Berz, M. ^{[1
]}

机构：

[1] Michigan State Univ, 567 Wilson Rd, E Lansing, MI 48824 USA

来源：

VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA | 2014年 / 10卷 / 04期

关键词：

space charge effects; fast mulitpole method; differential algebra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a fast multipole method based on differential algebraic methods for the calculation of the self-fields of all charged particles on each other inside a bunch in tracking simulations. It relies on an automatic multigrid-based decomposition of charges in near and far regions and the use of high-order differential algebra methods to obtain decompositions of far fields that lead to an error that scales geometrically with the order. Different from direct summation, the computational expense scales linear with the particle number. Some simulation results are presented to illustrate the practical performance of the method for realistic problems.

引用

页码：97 / 107

页数：11

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