@Article{EAJAM-13-4,
author = {Jiang, Chaolong and Xu, Qian and Songhe, Song and Zheng, Chenxuan},
title = {Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2023},
volume = {13},
number = {4},
pages = {935--959},
abstract = {<p style="text-align: justify;">Arbitrary high-order numerical schemes conserving the momentum and energy of the generalized Rosenau-type equation are studied. Derivation of momentum-preserving schemes is made within the symplectic Runge-Kutta method coupled with the
standard Fourier pseudo-spectral method in space. Combining quadratic auxiliary variable approach, symplectic Runge-Kutta method, and standard Fourier pseudo-spectral
method, we introduce a class of high-order mass- and energy-preserving schemes for the
Rosenau equation. Various numerical tests illustrate the performance of the proposed
schemes.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2022-308.300123},
url = {https://global-sci.com/article/82446/arbitrary-high-order-structure-preserving-schemes-for-generalized-rosenau-type-equations}
}