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math.NA2025
Error estimates of linear decoupled structure-preserving incremental viscosity splitting methods for the Cahn--Hilliard--Navier--Stokes system
Baolin Kuang, Hongfei Fu, Xiaoli Li
We propose first- and second-order time discretization schemes for the coupled Cahn--Hilliard--Navier--Stokes model, leveraging the incremental viscosity splitting (IVS) method. Th…
math.NA2024
Fractional-step High-order and Bound-preserving Method for Convection Diffusion Equations
Baolin Kuang, Hongfei Fu, Shusen Xie
In this paper, we derive two bound-preserving and mass-conserving schemes based on the fractional-step method and high-order compact (HOC) finite difference method for nonlinear co…
math.NA2024
Strang splitting structure-preserving high-order compact difference schemes for nonlinear convection diffusion equations
Baolin Kuang, Shusen Xie, Hongfei Fu
In this paper, we present a class of high-order and efficient compact difference schemes for nonlinear convection diffusion equations, which can preserve both bounds and mass. For…