Shixu Meng
Applied and Computational Mathematics
Inverse Problem and Imaging
Waves in Complex Media
Applied and Computational Mathematics
Inverse Problem and Imaging
Waves in Complex Media
Looking for highly motivated PhD students. Interested students please feel free to reach out by email or stop by.
Inverse scattering beyond Born approximation via rotation-equivariance-aware neural network and low-rank structure, arXiv preprint arXiv:2604.13227 (with Y Zhou)
Low-rank-assisted inverse medium scattering: Lipschiz stability and ensemble Kalman filter, arXiv preprint arXiv:2604.06379
A theoretical and computational framework for three dimensional inverse medium scattering using the linearized low-rank structure, arXiv preprint arXiv:2601.18016 (with Y Zhou, L Audibert, B Zhang)
On the surface Bloch waves in truncated periodic media: scalar-wave primer, Proc. Roy. Soc. A 482 (2026), 20250647 (with BB Guzina, P Salasiya, and L Nguyen)
Exploring low-rank structure for an inverse scattering problem with far-field data, SIAM J. Appl. Math. 86 (2026), no. 1, 179-205 (with Y Zhou, L Audibert, and B Zhang)
Preconditioning low rank Generalized Minimal Residual Method (GMRES) for implicit discretizations of matrix differential equations, SIAM J. Matrix Anal. Appl 46 (2025), no. 4, 2475-2500 (with D Appelo and Y Cheng)
On the recovery of two function-valued coefficients in the Helmholtz equation for inverse scattering problems via inverse Born series. Inverse Problems 41 (2025), 075004. (With Z Zhou and F Cakoni)