A LINEARLY-IMPLICIT STRUCTURE-PRESERVING EXPONENTIAL TIME DIFFERENCING SCHEME FOR HAMILTONIAN PDEs  

作　　者：Yayun Fu Dongdong Hu Wenjun Cai Yushun Wang 

机构地区：[1]Henan Joint International Research Laboratory of High Performance Computation for Complex Systems,School of Science,Xuchang University,Xuchang 461000,China [2]School of Mathematics and Statistics,Jiangxi Normal University,Jiangxi,Nanchang 330022,China [3]Jiangsu Key Laboratory for NSLSCS,Jiangsu Collaborative Innovation Center of Biomedial Functional Materials,School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China

出　　处：《Journal of Computational Mathematics》2024年第4期1063-1079,共17页计算数学（英文）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12171245,11971416,11971242,12301508);by the Natural Science Foundation of Henan Province(Grant No.222300420280);by the Natural Science Foundation of Hunan Province(Grant No.2023JJ40656);by the Scientific Research Fund of Xuchang University(Grant No.2024ZD010).

摘　　要：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 ex-ponential 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.

关 键 词：Structure-preserving algorithm Hamiltonian PDE Energy quadratization method Exponential time differencing 

分 类 号：O17[理学—数学]