2017辛算法课程.pdf

中科院数学所 唐贻发教授的哈密顿系统辛几何算法讲义
HamiltonX dZ dt = J−1∇H(Z), Z ∈R2n, J = O In −In O, (♠) "A{Gτ : Z →e Z "∂e Z ∂Z#T J"∂e Z ∂Z#= J, (♥) Euler¥:“(x, 1984) e Z = Z + τJ−1∇H e Z + Z 2 ! (♣) ·_"{" ♦ ºÆ
[1] V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag, 1978. [2] x§ 5x'86(II), I§fi§1995. [3] x!§ 5MX"A{6§œ˘E §2004. ='§Springer, 2013. [4] E. Hairer, Ch. Lubich, G. Wanner, Geometric Numerical Integration, Springer, 2002.