TY - JOUR AU - Dachsel, H. TI - An error-controlled fast multipole method JO - The journal of chemical physics VL - 131 SN - 0021-9606 CY - Melville, NY PB - American Institute of Physics M1 - PreJuSER-10819 SP - 244102 PY - 2009 N1 - Record converted from VDB: 12.11.2012 AB - We present a two-stage error estimation scheme for the fast multipole method (FMM). This scheme can be applied to any particle system. It incorporates homogeneous as well as inhomogeneous distributions. The FMM error as a consequence of the finite representation of the multipole expansions and the operator error is correlated with an absolute or relative user-requested energy threshold. Such a reliable error control is the basis for making reliable simulations in computational physics. Our FMM program on the basis of the two-stage error estimation scheme is available on request. KW - J (WoSType) LB - PUB:(DE-HGF)16 C6 - pmid:20059049 UR - <Go to ISI:>//WOS:000273217000007 DO - DOI:10.1063/1.3264952 UR - https://juser.fz-juelich.de/record/10819 ER -