3 papers
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
The Semi-implicit DLN Algorithm for the Navier Stokes Equations
Wenlong Pei
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. Recent…