Corrected Article: “An error-controlled fast multipole method” [J. Chem. Phys. 131, 244102 (2009)]

摘要

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. © 2010 American Institute of Physics Article Outline INTRODUCTION Laser plasma interaction THEORY First stage of the error estimation scheme Second stage of the error estimation scheme RESULTS SUMMARY