@Article{JCM-42-1063, author = {Fu , YayunHu , DongdongCai , Wenjun and Wang , Yushun}, 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 = {
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.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2302-m2020-0279}, url = {http://global-sci.org/intro/article_detail/jcm/23046.html} }