2010年
Trigonometrically fitted symplectic integration methods of two-stage, second-order and three-stage, third-order
Theoretical and Applied Mechanics Japan
- 巻
- 58
- 号
- 開始ページ
- 295-300
- 終了ページ
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.11345/nctam.58.295
- 出版者・発行元
- National committee for IUTAM
Recently, a new set of coefficients are found for the third-order
Yoshida-Ruth type symplectic integration algorithm (SIA).
This method has larger stability limit and less phase error than the Ruth's coefficients.
We consider the trigonometric fitting (TF) methods based on this new
set of coefficients.
%The relationship of TF conditions to the sympliticy order conditions, stability and errors are discussed.
This new TF-SIA is compared with the TF methods by Simons
for the harmonic oscillator problems.
Yoshida-Ruth type symplectic integration algorithm (SIA).
This method has larger stability limit and less phase error than the Ruth's coefficients.
We consider the trigonometric fitting (TF) methods based on this new
set of coefficients.
%The relationship of TF conditions to the sympliticy order conditions, stability and errors are discussed.
This new TF-SIA is compared with the TF methods by Simons
for the harmonic oscillator problems.
- ID情報
-
- DOI : 10.11345/nctam.58.295