Applied/Computational Mathematics, Inverse Problems, Data Science
Apply complex data to address interdisciplinary challenges spanning science, engineering, and technology
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)
Congratulations to group member Jialu Tian on passing the Preliminary Exam successfully!
Dr. Meng is invited to give a mini-symposium talk in Applied Inverse Problems 2023, Gottingen, Germany, Sep 4-8.
Dr. Meng is invited to give a mini-symposium talk in ICIAM 2023, Tokyo, Japan, Aug 20-25.