Year: 2024
Author: Yayun Fu, Dongdong Hu, Wenjun Cai, Yushun Wang
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2302-m2020-0279
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 4 : pp. 1063–1079
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Structure-preserving algorithm Hamiltonian PDE Energy quadratization method Exponential time differencing.