1 citations · 1 across the 5 of their papers we have counts for
5 papers
Partitioned Conservative, Variable Step, Second-Order Method for Magneto-hydrodynamics In Elsässer Variables
Zhen Yao, Catalin Trenchea, Wenlong Pei
Magnetohydrodynamics (MHD) describes the interaction between electrically conducting fluids and electromagnetic fields. We propose and analyze a symplectic, second-order algorithm…
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…
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna
William Layton, Wenlong Pei, Catalin Trenchea
The one-leg, two-step time-stepping scheme proposed by Dahlquist, Liniger and Nevanlinna has clear advantages in complex, stiff numerical simulations: unconditional -stability f…
A variable timestepping algorithm for the unsteady Stokes/Darcy model
Yi Qin, Yanren Hou, Wenlong Pei
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. Alth…
Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow
William Layton, Wenlong Pei, Yi Qin +1
The two-step time discretization proposed by Dahlquist, Liniger and Nevanlinna is variable step -stable. (In contrast, for increasing time steps, the BDF2 method loses -stabi…