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, arXiv preprint (with D Appelo, and Y Cheng)
An inverse obstacle scattering problem with random sources in the time domain, arXiv preprint (with X Liu, J Tian, and B Zhang)
Exploring low-rank structure for an inverse scattering problem with far-field data, arXiv preprint (with Y Zhou, L Audibert, 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)
Recent Activities
February 2025. Applied Math & Analysis Seminar, Duke University.
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.