Shixu Meng
Applied and Computational Mathematics, Inverse Problem, Data Science
Apply complex data to address interdisciplinary challenges spanning science, engineering, and technology
Recent Papers
Preconditioning low rank Generalized Minimal Residual Method (GMRES) for implicit discretizations of matrix differential equations, preprint (with D Appelo, and Y Cheng)
Exploring low rank structures in inverse scattering, preprint (with Y Zhou, L Audibert, and B Zhang)
Linear sampling method for time domain inverse scattering problems with random sources, preprint (with Xiaoli Liu, J Tian, and B Zhang)
A Kernel machine learning for inverse source and scattering problems, SIAM J. Numer. Anal. 62 (2024), no. 3, pp. 1443–1464 (with B. Zhang)
Plug-and-play analytical paradigm for the scattering of plane waves by “layer-cake” periodic systems, Proc. R. Soc. A. 480 (2024), no. 2294, 2024118 (with P Salasiya and B Guzina)
Shape and parameter identification by the linear sampling method for a restricted Fourier integral operator, Inverse Problems 40 (2024), 095007, 30pp (with L. Audibert)
Data-driven Basis for Reconstructing the Contrast in Inverse Scattering: Picard Criterion, Regularity, Regularization, and Stability, SIAM J. Appl. Math. 83. (5), 2003-2026 (2023)
Single Mode Multi-frequency Factorization Method for the Inverse Source Problem in Acoustic Waveguides, SIAM J. Appl. Math. 83. (2), 394-417 (2023)
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)
Recent Activities
November 2024. Research Day, Department of Mathematics, Virginia Tech. First- or second-year graduate students interested in a summer research project on inverse problems? Email me: sgl22@vt.edu
October 2024. Computational and Applied Mathematics Seminar at North Carolina State University. Talked about low rank structures for inverse problems and PDEs.
September 2024. Fluid Mechanics and Waves Seminar, NJIT. Talked about low rank structures for inverse problems and PDEs.
June 2024. Visited Department of Civil, Environmental & Geo- Engineering at the University of Minnesota as MTS Visiting Professor of Geomechanics.
May 2024. Inverse Problems for Partial Differential Equations (dedicated to David Colton on the occasion of his 80th birthday), Rutgers University. Talked about low rank structures for inverse problems.