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From the 1 of 6 linked papers with an AI index.

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20242026
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6 papers

math.NA2026

Reconstruct the ambient noise source from the multi-frequency sparse correlation data

Hao Gu, Hongxia Guo, Xiang Xu +1

The paper proposes a multi‑frequency factorization technique that can recover the shape of an ambient noise source using only a few correlation measurements, with low computational…

math.AP2025

Stability for the inverse random potential scattering problem

Tianjiao Wang, Xiang Xu, Yue Zhao

This paper is concerned with an inverse random potential problem for the Schrödinger equation. The random potential is assumed to be a generalized Gaussian random function, whose…

math.NA2025

A computational inverse random source problem for elastic waves

Hao Gu, Tianjiao Wang, Xiang Xu +1

This paper investigates the inverse random source problem for elastic waves in three dimensions, where the source is assumed to be driven by an additive white noise. A novel comput…

math.NA2025

PML method for the stochastic acoustic scattering problem driven by an additive Gaussian noise

Hongxia Guo, Tianjiao Wang, Xiang Xu +1

This paper is concerned with the time-domain stochastic acoustic scattering problem driven by a spatially white additive Gaussian noise. The main contributions of the work are twof…

math.AP2025

Inverse random source problem for Maxwell equations in an inhomogeneous medium

Tianjiao Wang, Xiang Xu, Yue Zhao

This paper concerns the inverse random source problem of the stochastic Maxwell equations driven by white noise in an inhomogeneous background medium. The well-posedness is establi…

math.AP2024

Stability for an inverse random source problem of the biharmonic Schrodinger equation

Tianjiao Wang, Xiang Xu, Yue Zhao

In this paper, we study the inverse random source scattering problem for the biharmonic Schrodinger equation in two and three dimensions. The driven source is assumed to be a gener…