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math.AP2024
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…
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…