2009•Journal of Nanchang UniversityRequires access

Comparison of the Stability of Two Symplectic Integrators

Xiaoming Qian

Abstract

Applying both the 1-order symplectic Euler method combined with the 1-order implicit Euler method and the 2-order leapfrog symplectic integrator plus the 2-order implicit midpoint rule to linear Hamiltonian systems with coordinates and velocities coupled,we find that the stability of the former is always superior to one of the latter.

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Key concepts: Semi-implicit Euler method, Symplectic geometry, Integrator, Symplectic integrator, Midpoint method, Euler's formula, Mathematics, Variational integrator