3 papers
math.NA2025
A highly efficient second-order long-time-dynamics-preserving scheme for geophysical fluid models
Daozhi Han, Xiaoming Wang
We develop and analyze a highly efficient, second-order time-marching scheme for infinite-dimensional nonlinear geophysical fluid models, designed to accurately approximate invaria…
math.NA2025
An efficient scheme for approximating long-time dynamics of a class of non-linear models
Jack Coleman, Daozhi Han, Xiaoming Wang
We propose a novel, highly efficient, mean-reverting-SAV-BDF2-based, long-time unconditionally stable numerical scheme for a class of finite-dimensional nonlinear models important…
math.NA2024
Long-time stable SAV-BDF2 numerical schemes for the forced Navier-Stokes equations
Daozhi Han, Xiaoming Wang
We propose a novel second-order accurate, long-time unconditionally stable time-marching scheme for the forced Navier-Stokes equations. A new Forced Scalar Auxiliary Variable appro…