My research interests lie in Inverse and ill-posed problems, applied inverse problems and imaging, forward and inverse scattering, numerical analysis, and scientific computing. 

My research is supported by NSF grant DMS-2513647 (PI, 2025-2028).

Publications

Submitted 

• (with N. V. Thang, N. V. Duc), Regularization of backward time-space-fractional parabolic equations by the quasi-reversibility method.

• (with N. T. V. Anh, V. N. Duc), Regularization of backward time-space-fractional parabolic equations by the Tikhonov method.

Articles in Refereed Journals

• (with N. V. Duc), A Tikhonov-type method for inverse source problems for time-space fractional parabolic equations, Applied Mathematics and Computation, 57 (2025), 129567.

• (with N. V. Duc, N. P. Ha, N. T. Anh, L. D. Manh, H. C. G. Bao), A Tikhonov-type regularization method for Caputo fractional derivative, Numerical Algorithms, 99 (2025), 441–462.

• (with F. Cakoni and H. Haddar), Fast Imaging of Local Perturbations in an Unknown Bi-Periodic Layered Medium, Journal of Computational Physics, 501 (2024), 112773. 

• (with N. V. Duc), A regularization method for Caputo fractional derivatives in the Banach space L∞[0, T], Numerical Algorithms, 95 (2024), 1033-1053.

• (with I. Harris and D.-L. Nguyen), Direct sampling methods for isotropic and anisotropic scatterers with point source measurements, Inverse Problems and Imaging, 16 (2022), 1137-1162.

• (with T. T. Le, L. H. Nguyen, and W. Powell), The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations, Journal of Scientific Computing, 87 (2021), 90.

•  Differential Imaging of Local Perturbations in Anisotropic Periodic Media, Inverse Problems, 36 (2020), 034004. 

• (with B.B. Guzina), Generalized Linear Sampling Method for the inverse elastic scattering of fractures in finite solid bodies, Inverse Problems, 35 (2019), 104002.  

• (with F. Cakoni, H. Haddar), New Interior Transmission Problem Applied to a Single Floquet-Bloch Mode Imaging of Local Perturbations in Periodic Media, Inverse Problems, 35 (2019), 015009. 

• (with H. Haddar), Sampling methods for reconstructing the geometry of a local perturbation in unknown periodic layers, Computers and Mathematics with Applications, 74 (2017), 2831–2855. 

• (with H. Haddar), A volume integral method for solving scattering problems from locally perturbed infinite periodic layers, Applicable Analysis, 96 (2016), 130–158. 

• (with D.-L. Nguyen), Electromagnetic scattering by periodic structures with sign-changing coefficients, Comptes Rendus Mathematique (C. R. Math. Acad. Sci. Paris), 353 (2015), 893–898.  

Edited Book

• (with D.-L. Nguyen and L. H. Nguyen), Advances in Inverse Problems for Partial Differential Equations, Contemporary Mathematics, volume 784, American Mathematical Society, Providence, 2023.  

Articles in Proceedings

• (with H. Haddar), Reconstructing the geometry of a local perturbation in periodic layers, Refereed Proceedings of the 13th International Conference on Mathematical and Numerical Aspects of Waves, Twin Cities, USA, May 2017. 

• (with H. Haddar), Volume integral method for solving scattering problems from locally perturbed periodic layers, Refereed Proceedings of the 12th International Conference on Mathematical and Numerical Aspects of Waves, Karlsruhe, Germany, July 2015.

PhD thesis

• Direct and inverse solvers for scattering problems from locally perturbed infinite periodic layers, PhD Thesis, École Polytechnique, 2017. 

Please note that some pdf files may not correspond completely to the published versions.