Abstract
In this paper we present a new class of symplectic methods, namely variational integrators employing the same integral averaging found in the averaged vector field method. Extensions to higher order are obtained using a collocation approach. The obtained methods are time-symmetric P-series methods.The proposed methods are compared with existing integrators. The tests focus on highly oscillatory problems, like the Fermi-Pasta–Ulam problem.
Sign-in/Register to access full text options 
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.
