Anomaly in symplectic integrator
Copyright policy )Anomaly in symplectic integrator
Effective Liouville operators of the first- and the second-order symplectic integrators are obtained for the one-dimensional harmonic-oscillator system. The operators are defined only when the time step is less than two. Absolute values of the coordinate and the momentum monotonically increase for large time steps.
6 pages, no figure
- Chubu University Japan
Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems, convergence radius, exponential operator, Goldberg's theorem, FOS: Physical sciences, conserved quantity, Mathematical Physics (math-ph), Mathematical Physics
Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems, convergence radius, exponential operator, Goldberg's theorem, FOS: Physical sciences, conserved quantity, Mathematical Physics (math-ph), Mathematical Physics
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