A new family of fourth-order energy-preserving integrators

Author name not available (Why is that?)

Abstract: For Hamiltonian systems with non-canonical structure matrices, a new family of fourth-order energy-preserving integrators is presented. The integrators take a form of a combination of Runge--Kutta methods and continuous-stage Runge--Kutta methods and feature a set of free parameters that offer greater flexibility and efficiency. Specifically, we demonstrate that by carefully choosing these free parameters a simplified Newton iteration applied to the integrators of order four can be parallelizable. This results in faster and more efficient integrators compared with existing fourth-order energy-preserving integrators.

Has companion code repository: https://github.com/yutomiyatake/ep_fourth_poisson

This page was built for publication: A new family of fourth-order energy-preserving integrators

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6510177)