Biography

Websites:
Lab Website
Research with Rowan

Education:
Post-Doctoral, Austrian Academy of Sciences, UNC Charlotte, Iowa State University
Ph.D., Engineering Mathematics, Vrije Universiteit Brussel
M.S., Mathematics, Vietnam National University
B.S., Mathematics, Vietnam National 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)

Professional Memberships:
Society for Industrial and Applied Mathematics (www.siam.org)

Selected 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.

Fall 2024  - Class Schedule
41236 - MATH 01386-1      INTRO PARTL DIFFTL EQTNS      TR 9:30am-10:45am      Robinson 310
41329 - MATH 01390-1      MATHEMATICS RESEARCH      TR 12:30pm-1:45pm      Robinson 310    

Fall 2024 - Office Hours
TR 11:50am-12:10pm, or by appointment at nguyent@rowan.edu