[Table of Contents]

Plasma and Fusion Research

Volume 8, 2401091 (2013)

Regular Articles

Accuracy Assurance in Binary Interaction Approximation for N-Body Problems II
Shun-ichi OIKAWA 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 19 November 2012 / Accepted 13 May 2013 / Published 19 June 2013)

Abstract

The modified accuracy assurance scheme for the Binary Interaction Approximation (BIA) to N-body problems is proposed. The present error-tolerance-adjusting scheme, implemented into the BIA introduced in this study significantly reduces the CPU times and numerical errors in invariants of the motion compared to the previous one.

Keywords

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

DOI: 10.1585/pfr.8.2401091

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This paper may be cited as follows:

Shun-ichi OIKAWA and Takanori KAMEI, Plasma Fusion Res. 8, 2401091 (2013).