3 papers
math.AP2025
Uniqueness of inverse random source problems for stochastic heat and wave equations
Xu Wang, Guanlin Yang, Zhidong Zhang
This paper investigates an inverse random source problem for stochastic evolution equations, including stochastic heat and wave equations, with the unknown source modeled as $g(x)f…
math.NA2024
Asymptotic error distribution of accelerated exponential Euler method for parabolic SPDEs
Jialin Hong, Diancong Jin, Xu Wang +1
The asymptotic error distribution of numerical methods applied to stochastic ordinary differential equations has been well studied, which characterizes the evolution pattern of the…
math.AP2024
Inverse random potential scattering for the polyharmonic wave equation using far-field patterns
Jianliang Li, Peijun Li, Xu Wang +1
This paper addresses the inverse scattering problem of a random potential associated with the polyharmonic wave equation in two and three dimensions. The random potential is repres…