Numerical Integration of Hamiltonian Systems in the Presence of Additional Integrals: Application of the Observer Method
The observer method introduced by Busvelle et al. (1993), is a simple idea that can be used to improve reliable numerical integration of a system of differential equations in the presence of first integrals. In the cited paper the observer method was already tested on some important examples like the Kepler problem and the Gavrilov-Shilnikov system.
KeywordsPoint Vortex Maximal Relative Error Observer Method Kepler Problem Symplectic Integrator
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