State-dependent symplecticity and area preserving numerical methods
作者： Felice Iavernaro , Donato Trigiante
DOI: 10.1016/J.CAM.2006.02.058
关键词:
摘要: We introduce the definition of state-dependent symplecticity as a useful tool investigation to discover nearby in symmetric non-symplectic one-step methods applied two-dimensional Hamiltonian systems. first relate this property Poisson systems and trapezoidal method, then investigate Runge-Kutta discrete gradient methods.
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