9 citations · 15 across the 3 of their papers we have counts for
3 papers
math.NA2022★ 1 cited
Stabilized exponential time differencing schemes for the convective Allen-Cahn equation
Yongyong Cai, Lili Ju, Rihui Lan +1
The convective Allen-Cahn equation has been widely used to simulate multi-phase flows in many phase-field models. As a generalized form of the classic Allen-Cahn equation, the conv…
math.NA2021★ 9 cited
Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects
Kun Jiang, Lili Ju, Jingwei Li +1
It is well known that the classic Allen-Cahn equation satisfies the maximum bound principle (MBP), that is, the absolute value of its solution is uniformly bounded for all time by…
math.NA2021★ 5 cited
Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle
Jingwei Li, Xiao Li, Lili Ju +1
Maximum bound principle (MBP) is an important property for a large class of semilinear parabolic equations, in the sense that the time-dependent solution of the equation with appro…