Record number :
Title of article :
Order properties of symplectic runge-kutta-nyström methods
Author/Authors :
Ai-Guo Xiao، نويسنده , , Yi-Fa Tang، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2004
Pages :
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Abstract :
In this paper, some characteristics and order properties of symplectic Runge-Kuttar-Nyström (RKN) methods are given. By using a transformation technique, a family of high-order implicit symplectic RKN methods of order 2s -1 or order 2s is constructed, and some available symplectic RKN methods including singly-implicit, multiply-implicit, and diagonally-implicit symplectic RKN methods are investigated. As examples, two-stage and three-stage symplectic RKN methods are derived in detail.
Keywords :
Order condition , Runge-KuttatNystrom method , Hamiltonian system , Symplecticity
Journal title :
Computers and Mathematics with Applications
Serial Year :
Link To Document :