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J-GLOBAL ID：200902289379160613   Reference number：07A0057922

Totally Conservative Integrator and Its Symmetrization for Integrable Relativistic Equation of Motion

可積分な相対論的運動方程式に対する全保存型差分法とその時間対称化

Author (1)： SATO TETSU (オプトリンクス)
Material： 日本応用数理学会論文誌  (Transactions of the Japan Society for Industrial and Applied Mathematics)
Volume： 16  Issue： 4  Page： 421-433  Publication year： Dec. 25, 2006 
JST Material Number： L1010A  ISSN： 0917-2246  Document type： Article
Article type： 短報  Country of issue： Japan (JPN)  Language： JAPANESE (JA)

Thesaurus term： *numerical solution ,...

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JST classification (3)： Numerical computation  (JE02000J) ,  General theory of relativity and theory of gravity  (BA07030F) ,  Classical mechanics  (BA04000D)

Reference (16)：

• BELL, S. C. A Numerical Solution of the Relativistic Kepler Problem. Computer in Physics. 1995, 9, 3, 281-285
• GRIEWANK, A. On Automatic Differentiation. Mathematical Programming : Recent Developments and Applications. 1989, 83-108
• HAIRER, E. Geometric Numerical Integration-Structure-Preserving Algorithms for Ordinary Differential Equations. 2002
• HAWKING, S. W. The Large Scale Structure of Space-Time. 1973
• IRI, M. Automatic Computation of Partial Derivatives and Rounding Error Estimates with Applications to Large-Scale Systems of Nonlinear Equations. J. Computat. Appl. Math. 1988, 24, 365-392

Terms in the title (5)： 可積分 ,  運動方程式 ,  保存 ,  差分法 ,  対称