[Table of Contents]

Plasma and Fusion Research

Volume 7, 2401103 (2012)

Regular Articles

Accuracy Assurance in Binary Interaction Approximation for N-Body Problems
Shun-ichi OIKAWA, Masaki GOTO, Kosuke HARUTA and Takanori KAMEI1)
Faculty of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan
1)
Graduate School of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan
(Received 6 December 2011 / Accepted 1 June 2012 / Published 26 July 2012)

Abstract

Two accuracy assurance schemes are combined into the Binary Interaction Approximation (BIA) to N-body problems. The first one is a sort of variable time step (VTS) scheme for a given error tolerance. Since this scheme sometimes does not converge, an error-tolerance-adjusting (ETA) scheme is also introduced. With these two schemes combined into the original BIA, a significant improvement in terms of numerical error is obtained.

Keywords

binary interaction approximation, N-body problem, accuracy assurance, variable time step scheme, error tolerance adjustment, Runge-Kutta-Fehlberg

DOI: 10.1585/pfr.7.2401103

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This paper may be cited as follows:

Shun-ichi OIKAWA, Masaki GOTO, Kosuke HARUTA and Takanori KAMEI, Plasma Fusion Res. 7, 2401103 (2012).