65 citations · 84 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations
Stefan Le Coz, Dong Li, Tai-Peng Tsai
We study *infinite soliton trains* solutions of nonlinear Schrödinger equations (NLS), i.e. solutions behaving at large time as the sum of infinitely many solitary waves. Assuming…