3 papers
math.NA2025
Quasi-interpolation with random sampling centers
Wenwu Gao, Le Hu, Xingping Sun +1
We propose and study a general quasi-interpolation framework for stochastic function approximation, which stems and draws motivation from convolution-type solutions for certain pra…
math.AP2024
The Cauchy problem for the Degasperis-Procesi Equation: Painlevé Asymptotics in Transition Zones
Zhaoyu Wang, Xuan Zhou, Engui Fan
The Degasperis-Procesi (DP) equation \begin{align} &u_t-u_{txx}+3κu_x+4uu_x=3u_x u_{xx}+uu_{xxx}, \nonumber \end{align} serving as an asymptotic approximation for the unidirectiona…
math.AP2023
he Cauchy problem for the Novikov equation under a nonzero background: Painlevé asymptotics in a transition zone
Zhaoyu Wang, Xuan Zhou, Engui Fan
In this paper, we investigate the Painlevé asymptotics in a transition zone for the solutions to the Cauchy problem of the Novikov equation under a nonzero background \begin{align}…