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Symplectic Runge-Kutta methods with real eigenvalues

✍ Scribed by E. Hairer; G. Wanner


Book ID
105413192
Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
169 KB
Volume
34
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