Shixu Meng

Applied/Computational Mathematics, Inverse Problems, Data Science

Apply complex data to address interdisciplinary challenges spanning science, engineering, and technology

Recent Papers

Data-driven Basis for Reconstructing the Contrast in Born Inverse Scattering: Picard Criterion, Regularity, Regularization and Stability, arXiv preprint arXiv:2211.10192.
Single Mode Multi-frequency Factorization Method for the Inverse Source Problem in Acoustic Waveguides, arXiv:2207.04645 (2022), accepted SIAM J. Appl. Math.
Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data, Journal of Computational Mathematics 469, 111550 (2022) (with F.Dou, X. Liu, and B. Zhang)
Asymptotic anatomy of the Berry phase for scalar waves in 2D periodic continua, Proceedings of the Royal Society A 478, 2262, (2022) (with B. Guzina and O. Oudghiri-Idrissi)
Modified sampling method with near field measurements, SIAM J. Appl. Math 82 (1), 244-266 (2022) (with X. Liu and B. Zhang)
A multi-frequency sampling method for the inverse source problems with sparse measurements, arXiv:2109.01434 (2021) (With X. Liu)
A Note on Transmission Eigenvalues in Electromagnetic Scattering Theory, Inverse Problems & Imaging doi: 10.3934/ipi.2021025 (2021) (with F. Cakoni and J. Xiao)
On the spectral asymptotics of waves in periodic media with Dirichlet or Neumann exclusions, The Quarterly Journal of Mechanics and Applied Mathematics, https://doi.org/10.1093/qjmam/hbab003 (2021) (with B. Guzina and O. Oudghiri-Idrissi)
A Sampling Type Method in an Electromagnetic Waveguide, Inverse Problems & Imaging doi: 10.3934/ipi.2021012 (2021)
The Interior Inverse Electromagnetic Scattering for an Inhomogeneous Cavity, Inverse Problems 37 025007 (2021) (With F. Zeng)
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term, Applicable Analysis, https://doi.org/10.1080/00036811.2021.1929932 (2021) (with B. Guzina and O. Oudghiri-Idrissi)

Current Students

Jialu Tian (graduate student, 2021-), co-advise with Bo Zhang

Yuyuan Zhou (graduate student, 2022-), co-advise with Bo Zhang