Chebyshev symplectic methods based on continuous-stage Runge-Kutta methods
Numerical Analysis
2025-07-23 v4 Numerical Analysis
Abstract
We develop Chebyshev symplectic methods based on Chebyshev orthogonal polynomials of the first and second kind separately in this paper. Such type of symplectic methods can be conveniently constructed with the newly-built theory of weighted continuous-stage Runge-Kutta methods. A few numerical experiments are well performed to verify the efficiency of our new methods.
Keywords
Cite
@article{arxiv.1805.11237,
title = {Chebyshev symplectic methods based on continuous-stage Runge-Kutta methods},
author = {Wensheng Tang},
journal= {arXiv preprint arXiv:1805.11237},
year = {2025}
}
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