65 citations · 66 across the 3 of their papers we have counts for
3 papers
math.NA2021★ 1 cited
Stability and convergence of Strang splitting. Part II: tensorial Allen-Cahn equations
Dong Li, Chaoyu Quan, Jiao Xu
We consider the second-order in time Strang-splitting approximation for vector-valued and matrix-valued Allen-Cahn equations. Both the linear propagator and the nonlinear propagato…
math.NA2021★ 65 cited
Stability and convergence of Strang splitting. Part I: Scalar Allen-Cahn equation
Dong Li, Chaoyu Quan, Jiao Xu
We consider a class of second-order Strang splitting methods for Allen-Cahn equations with polynomial or logarithmic nonlinearities. For the polynomial case both the linear and the…
math.AP2021
Energy-dissipation for time-fractional phase-field equations
Dong Li, Chaoyu Quan, Jiao Xu
We consider a class of time-fractional phase field models including the Allen-Cahn and Cahn-Hilliard equations. We establish several weighted positivity results for functionals dri…