Thanh Trung Nguyen, Ph.D.
Thanh Trung Nguyen, Ph.D.
Thanh Nguyen, Ph.D.
Associate Professor
Biography
Website: http://users.rowan.edu/~nguyent/
Education:
BS & MS (Mathematics) Vietnam National University, Hanoi
PhD (Engineering Mathematics) Vrije Universiteit Brussel, Belgium
Post-doctoral: Austrian Academy of Sciences, UNC Charlotte, Iowa State University
Research Expertise: Inverse Problems & Optimization | Modeling & Simulation | Numerical Analysis
My main mathematical research interest is in the field of inverse problems. In addition, I am also interested in several other areas of computational and applied mathematics, including partial differential equations, optimization, numerical analysis, modeling & simulation, and machine learning. My research includes mathematical and computational investigations, as well as engineering issues such as data processing, model validation and testing inverse methods against real experimental data.
I am particularly interested in real-world applications. Examples of real-world problems I have been working on are:
- Subsurface detection and imaging using infrared thermography, ground penetrating radar, or electromagnetic induction (eddy current)
- Through-wall imaging using radar
- Water quality modeling and detection of pollution sources
- Smart farming using artificial intelligence and autonomous drones.
I am working on the following projects:
- Splitting all-at-once methods for inverse scattering problems (funded by NSF)
- Subsurface imaging using electromagnetic induction (funded by US Army Corps of Engineers)
- Using artificial intelligence and drones for smart farming (blueberry detection & counting, blueberry scorch disease detection and mapping, detection of Carolina redroot in cranberry beds) (funded by NJDA Specialty Crop Block Program & NJ Pathways)
Member of: Society for Industrial and Applied Mathematics (SIAM, http://www.siam.org/)
Selected Recent Publications:
D. N. Hao, N. T. Thanh, N. V. Duc and N. V. Thang (2023). “A coefficient identification problem for a system of advection-reaction equations in water quality modeling”. Computers & Mathematics with Applications, 148, page 126—150
N. T. Thanh (2023). “Using alternating minimization and convexified Carleman weighted objective functional for a time-domain inverse scattering problem”. Axioms, 12(7), 642
N. V. Duc, N. V. Thang and N. T. Thanh (2023) “The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations”. Journal of Differential Equations, 344, pp 102-130.
N.T. Thanh (2022) “Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem”. Journal of Inverse and Ill-posed Problems, 30(4), 485–493.
N. V. Thang, N. V. Duc, L. D. N. Minh and N. T. Thanh (2021), “Identifying an unknown source term in a time-space fractional parabolic equation”. Applied Numerical Mathematics, 166, 313-332.
J. Bowler, N.T. Thanh and P. Sacks (2021), “Evaluation of the electrical conductivity and magnetic permeability variations with depth from surface voltage measurements”, Inverse Probl. Sci. Eng., 29:6, 831-860. Published online: Aug 31, 2020.
Spring 2024 - Class Schedule
21737 - MATH 01231-1 ORDINARY DIFFER EQUAT TR 12:30-1:45 Robinson 324
21748 - MATH 01332-1 NUMERICAL ANALYSIS TR 11:00-12:15 Science 126
21753 - MATH 01386-1 INTRO PARTL DIFFTL EQTNS TR 3:30-4:45 Robinson 212
21821 - MATH 03411-1 DETERMINISTIC MODS OPER RES MW 5:00-6:15 James 3117
24802 - MATH 03511-1 OPERATIONS RESEARCH I MW 5:00-6:15 James 3117
24804 - MATH 03612-2 MASTER THESIS
Spring 2024 - Office Hours
TR 9:45-10:45, W 11:00-12:00 by appointment at nguyent@rowan.edu