Yi Ji1,2, Yufeng Xing1,*
CMES-Computer Modeling in Engineering & Sciences, Vol.126, No.2, pp. 549-575, 2021, DOI:10.32604/cmes.2021.014244
Abstract Based on the weighted residual method, a single-step time integration algorithm with higher-order accuracy and
unconditional stability has been proposed, which is superior to the second-order accurate algorithms in tracking
long-term dynamics. For improving such a higher-order accurate algorithm, this paper proposes a two sub-step
higher-order algorithm with unconditional stability and controllable dissipation. In the proposed algorithm, a time
step interval [tk, tk + h] where h stands for the size of a time step is divided into two sub-steps [tk, tk + γh] and
[tk + γh, tk + h]. A non-dissipative fourth-order algorithm is used in the rst… More >
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