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Reply to “comment on ‘poisson schemes for Hamiltonian systems on poisson manifolds’”

✍ Scribed by W.-J. Zhu; M.-Z. Qin


Book ID
108022510
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
54 KB
Volume
29
Category
Article
ISSN
0898-1221

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Comment on “Poisson schemes for Hamilton
✍ R. McLachlan 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 42 KB

Recently, Zhu and Qin [1] addressed the question of numerically integrating Poisson systems with constant Poisson soructure. They concluded that among the symplectic Runge-Kutta (RK) methods, only the diagonally implicit ones are Poisson. In fact, they all are. RK methods are equivariant under linea