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A New Implementation of Symplectic Runge–Kutta Methods

✍ Scribed by McLachlan, Robert I.


Book ID
118189361
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
237 KB
Volume
29
Category
Article
ISSN
1064-8275

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Symplectic Properties of multistep Runge
✍ Ai-Guo Xiao; Yi-Fa Tang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 613 KB

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