Error Convergence Process of the Multipole Expansion

Shinichiro Ohnuki, Weng Cho Chew

Research output: Contribution to conferencePaperpeer-review


We focus on the truncation error of the multipole expansion for the multilevel fast multipole algorithm and investigate the condition to minimize it. When the buffer size is small compared to the machine precision, the conventional selection rules do not hold, and the new approach which we have recently proposed is needed. However, this method is still not sufficient to minimize the error for small buffer cases. We will show that the information about the placement of true worst-case interaction is needed.

Original languageEnglish (US)
Number of pages6
StatePublished - 2003
Event19th Annual Review of Progress in Applied Computational Electromagnetics - Monterey, CA, United States
Duration: Mar 24 2003Mar 28 2003


Other19th Annual Review of Progress in Applied Computational Electromagnetics
Country/TerritoryUnited States
CityMonterey, CA


  • Error Analysis
  • Error Minimization
  • Multilevel Fast Multipole Algorithm

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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