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Practical construction of modified Hamiltonians. (English) Zbl 1002.65135

The authors consider a quite simple procedure to construct modified Hamiltonians, which is nearly independent of the internal structure of the integrator. At the same time, the method provides accurate estimates for modified Hamiltonians and when the Hamiltonian is quadratic the corresponding modified Hamiltonian is exactly conserved by a numerical solution.

MSC:

65P10 Numerical methods for Hamiltonian systems including symplectic integrators
37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems
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