Work

Three sixth-order explicit symplectic Runge–Kutta-Nystrom methods with exact parameters

Year: 2025

Type: article

Abstract: For separable Hamiltonian systems, we construct first ever three symplectic explicit Runge–Kutta-Nyström methods of six orders with exact parameters. We numerically and theoretically compare these three new exact methods with the only existing exact 6-th order symplectic explicit partitioned Runge–Kutta method and two approximate 6-th order symplectic explicit Runge–Kutta-Nyström methods. These new methods are more accurate and stable.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2025.100568

Authors: Mengjiao Pan, Jingjing Zhang, Shangyou Zhang

Institutions: East China Jiaotong University, University of Delaware

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,770

Funder: Natural Science Foundation of Jiangxi Province