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pro vyhledávání: '"Pei, Wenlong"'
We consider a family of variable time-stepping Dahlquist-Liniger-Nevanlinna (DLN) schemes, which is unconditional non-linear stable and second order accurate, for the Allen-Cahn equation. The finite element methods are used for the spatial discretiza
Externí odkaz:
http://arxiv.org/abs/2409.19481
Autor:
Pei, Wenlong
In the report, we propose a family of variable time-stepping ensemble algorithms for solving multiple incompressible Navier-Stokes equations (NSE) at one pass. The one-leg, two-step methods designed by Dahlquist, Liniger, and Nevanlinna (henceforth t
Externí odkaz:
http://arxiv.org/abs/2407.19101
Autor:
Siddiqua, Farjana, Pei, Wenlong
Turbulent flows strain resources, both memory and CPU speed. The DLN method has greater accuracy and allows larger time steps, requiring less memory and fewer FLOPS. The DLN method can also be implemented adaptively. The classical Smagorinsky model,
Externí odkaz:
http://arxiv.org/abs/2309.01867
Autor:
Pei, Wenlong
Dahlquist, Liniger, and Nevanlinna design a family of one-leg, two-step methods (the DLN method) that is second order, A- and G-stable for arbitrary, non-uniform time steps. Recently, the implementation of the DLN method can be simplified by the refa
Externí odkaz:
http://arxiv.org/abs/2306.02461
Publikováno v:
In The Journal of Systems & Software July 2024 213
Publikováno v:
In The Journal of Systems & Software June 2024 212
The one-leg, two-step time-stepping scheme proposed by Dahlquist, Liniger and Nevanlinna has clear advantages in complex, stiff numerical simulations: unconditional $G$-stability for variable time-steps and second-order accuracy. Yet it has been unde
Externí odkaz:
http://arxiv.org/abs/2108.09339
Autor:
Wang, Lijuan, Pei, Wenlong, Li, Jiacong, Feng, Yiming, Gao, Xingsu, Jiang, Ping, Wu, Qian, Li, Lei
Publikováno v:
In Ecotoxicology and Environmental Safety February 2024 271
This report considers a variable step time discretization algorithm proposed by Dahlquist, Liniger and Nevanlinna and applies the algorithm to the unsteady Stokes/Darcy model. Although long-time forgotten and little explored, the algorithm performs a
Externí odkaz:
http://arxiv.org/abs/2007.03801
The two-step time discretization proposed by Dahlquist, Liniger and Nevanlinna is variable step $G$-stable. (In contrast, for increasing time steps, the BDF2 method loses $A$-stability and suffers non-physical energy growth in the approximate solutio
Externí odkaz:
http://arxiv.org/abs/2001.08640