Abstract
There is significant theoretical support for the use of symplectic integrators for the numerical solution of Hamiltonian systems. However, the theory does not apply to practical computations because of the failure to take into account the effects of roundoff errors, and other approximations such as the use of fast N-body solvers and the use of “not fully converged iterations” in implicit or semi-implicit integrators. Very often these effects grow exponentially with time and completely overwhelm the numerical results well before the integration is complete. By means of a simple and inexpensive modification of the integrator, we show that it is possible to maintain a symplectic integration with floating-point arithmetic and other approximations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
