65 citations · 69 across the 7 of their papers we have counts for
7 papers
Asymptotic error distribution for tamed Euler method with coupled monotonicity condition
Xinjie Dai, Diancong Jin, Jiaoyang Xu
This paper establishes the asymptotic error distribution of the tamed Euler method for stochastic differential equations (SDEs) with a coupled monotonicity condition, that is, the…
On the global well-posedness and scattering of the 3D Klein-Gordon-Zakharov system
Xinyu Cheng, Jiao Xu
In this paper we are interested in the global well-posedness of the 3D Klein-Gordon-Zakharov equations with small initial data. We show the uniform boundedness of the energy for th…
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…
Global wellposedness for 2D quasilinear wave without Lorentz
Xinyu Cheng, Dong Li, Jiao Xu +1
We consider the two-dimensional quasilinear wave equations with standard null-form type quadratic nonlinearities. We prove global wellposedness without using the Lorentz boost vect…
Uniform boundedness of highest norm for 2D quasilinear wave
Xinyu Cheng, Dong Li, Jiao Xu
We consider the two-dimensional quasilinear wave equations with quadratic nonlinearities. We introduce a new class of null forms and prove uniform boundedness of the highest order…