Projects per year
Personal profile
Research interests
Research Expertise:
Inverse Problems & Optimization | Modeling & Simulation | Numerical Analysis
My areas of research are in computational, applied mathematics, and engineering applications. In particular, my research interests include inverse problems for partial differential equations, optimization, numerical analysis, mathematical modeling, and applications in nondestructive testing, subsurface imaging, and medical imaging. I have published more than 30 papers in the following areas: (1) Modeling and inverse problems for the heat equations and their application in the detection and characterization of buried objects from infrared images; (2) Coefficient and shape reconstruction problems in time-domain and frequency-domain inverse scattering theory of wave and their application in the detection of airborne, through-wall and buried objects using radar measurements; (3) Evaluation of the electrical conductivity and magnetic permeability of metals from alternating current potential drop measurements. My current research projects include globally convergent inverse methods for coefficient identification problems for partial differential equations.
Member of:
Society for Industrial and Applied Mathematics (SIAM, http://www.siam.org/)
Education/Academic qualification
Doctor of Philosophy, doctorate, Vrije Universiteit Amsterdam
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Collaborations and top research areas from the last five years
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LEAPS-MPS: Splitting all-at-once approach to inverse medium scattering problems
National Science Foundation (NSF)
9/1/23 → 8/31/25
Project: Other project
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CURM Minigrant
Center for Undergraduate Research in Mathematics
7/1/22 → 5/31/23
Project: Other project
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A coefficient identification problem for a system of advection-reaction equations in water quality modeling
Hào, D. N., Thành, N. T., Duc, N. V. & Thang, N. V., Oct 15 2023, In: Computers and Mathematics with Applications. 148, p. 126-150 25 p.Research output: Contribution to journal › Article › peer-review
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The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations
Duc, N. V., Thang, N. V. & Thành, N. T., Jan 25 2023, In: Journal of Differential Equations. 344, p. 102-130 29 p.Research output: Contribution to journal › Article › peer-review
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Using Alternating Minimization and Convexified Carleman Weighted Objective Functional for a Time-Domain Inverse Scattering Problem
Thành, N. T., Jul 2023, In: Axioms. 12, 7, 642.Research output: Contribution to journal › Article › peer-review
Open Access -
Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem
Thành, N. T., Aug 1 2022, In: Journal of Inverse and Ill-Posed Problems. 30, 4, p. 485-493 9 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
Identifying an unknown source term of a parabolic equation in Banach spaces
Van Duc, N., Van Thang, N., Nhat Minh, L. D. & Trung Thành, N., 2022, In: Applicable Analysis. 101, 6, p. 2066-2084 19 p.Research output: Contribution to journal › Article › peer-review
3 Scopus citations