5 papers
Stability estimates of inverse random source problems for the wave equations by using correlation-based data
Peijun Li, Ying Liang, Xu Wang
This paper focuses on stability estimates of the inverse random source problems for the polyharmonic, electromagnetic, and elastic wave equations. The source is represented as a mi…
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…
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…
An inverse source problem for the stochastic multi-term time-fractional diffusion-wave equation
Xiaoli Feng, Qiang Yao, Peijun Li +1
In this paper, we study both the direct and inverse random source problems associated with the multi-term time-fractional diffusion-wave equation driven by a fractional Brownian mo…
Inverse source problems for the stochastic wave equations: far-field patterns
Jianliang Li, Peijun Li, Xu Wang
This paper addresses the direct and inverse source problems for the stochastic acoustic, biharmonic, electromagnetic, and elastic wave equations in a unified framework. The driven…