Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)
Numerical Analysis
2025-02-18 v4 Numerical Analysis
Abstract
Using simplifying assumptions that are related to the time reversal symmetry, a 1-dimensional family of 8-stage pseudo-symplectic Runge-Kutta methods of order (4, 8), i.e., methods of order 4 that preserve symplectic structure up to order 8, is derived. An example of 7-stage method of order (4, 9) is given.
Keywords
Cite
@article{arxiv.2301.09335,
title = {Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)},
author = {Misha Stepanov},
journal= {arXiv preprint arXiv:2301.09335},
year = {2025}
}
Comments
23 pages, 8 figures, 1 table, third numerical test is added