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math.NA2024
The Efficient Variable Time-stepping DLN Algorithms for the Allen-Cahn Model
YiMing Chen, Dianlun Luo, Wenlong Pei +1
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 eq…
math.NA2024
The Variable Time-stepping DLN-Ensemble Algorithms for Incompressible Navier-Stokes Equations
Wenlong Pei
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-ste…
math.NA2023
Variable Time Step Method of DAHLQUIST, LINIGER and NEVANLINNA (DLN) for a Corrected Smagorinsky Model
Farjana Siddiqua, Wenlong Pei
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…