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A note on pseudo-symplectic Runge-Kutta methods

✍ Scribed by A. Aubry; P. Chartier


Book ID
110543781
Publisher
Springer Netherlands
Year
1998
Tongue
English
Weight
189 KB
Volume
38
Category
Article
ISSN
0006-3835

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We investigate the symplecticity of multistep Runge-Kutta methods (MRKMs) as general linear methods (GLMs) for Hamiltonian systems in accordance with the definition due to Bochev and Scovel [1], Eirola and Sanz-Serna [2], and Hairer and Leone [3,4]. We present a necessary and sufficient condition fo