@Article{JCM-42-4,
author = {Yayun, Fu and Hu, Dongdong and Wenjun, Cai and Yushun, Wang},
title = {A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs},
journal = {Journal of Computational Mathematics},
year = {2024},
volume = {42},
number = {4},
pages = {1063--1079},
abstract = {<p style="text-align: justify;">In the paper, we propose a novel linearly implicit structure-preserving algorithm, which
is derived by combing the invariant energy quadratization approach with the exponential
time differencing method, to construct efficient and accurate time discretization scheme for
a large class of Hamiltonian partial differential equations (PDEs). The proposed scheme
is a linear system, and can be solved more efficient than the original energy-preserving exponential integrator scheme which usually needs nonlinear iterations. Various experiments
are performed to verify the conservation, efficiency and good performance at relatively
large time step in long time computations.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2302-m2020-0279},
url = {https://global-sci.com/article/91088/a-linearly-implicit-structure-preserving-exponential-time-differencing-scheme-for-hamiltonian-pdes}
}