Hi - Xin chào :) Welcome to TQK's academic homepage - I hope you find some enjoyment here :)
I wish to inform you that I do not aim to present any official matters in this space. Rather, it serves as a venue for you to discover more about me in a less formal setting. I have a profound appreciation for the academic field, and I derive much enjoyment from returning to it after an extensive period in the actuarial industry. Let us continue to foster this positive atmosphere.
My full name is Tra Quoc Khanh. As per Vietnamese cultural customs, I am commonly known as Khanh. Nevertheless, I would appreciate it if you chose to call me Trà, which means "Tea" in English. You will find certain details regarding my information in the subsequent text.
Academic Employment
From 2023 - now: Researcher @ Van Lang University
From 2015 - now: Regular Visiting Lecturer @ Vietnam National University at Ho Chi Minh City
From 2019 - 2021: Researcher @ Ton Duc Thang University
Education
PhD in Mathematics (2022): Vietnam National University at Ho Chi Minh City, Vietnam
MSc in Statistics and Actuarial Science (2013): Soongsil University, South Korea
MSc in Applied Mathematics (2011) : Université d'Orléans, France
BSc in Mathematics (2010): Vietnam National University at Ho Chi Minh City, Vietnam
In addition to the above qualifications, I also hold the designation of Associate of the Society of Actuaries (ASA) since Feb-2016.
Academic Contact
Institutional email: khanh.traquoc@vlu.edu.vn
Personal Email: khanhtra2tk@gmail.com
Inverse problems for PDEs
Numerical approximations for PDEs
Actuarial Science and Financial Mathematics
Ngo Van Hoa, and Tra Quoc Khanh. "Two-parameter regularization method for an axisymmetric inverse heat problem." Boundary Value Problems 2017.1 (2017): 1-12.
Tra Quoc Khanh, Tran Thi Khieu, and Ngo Van Hoa. "Stabilizing the nonlinear spherically symmetric backward heat equation via two-parameter regularization method." Journal of Fixed Point Theory and Applications 19.4 (2017): 2461-2481.
Tra Quoc Khanh, and Ngo Van Hoa. "On the axisymmetric backward heat equation with non-zero right-hand side: regularization and error estimates." Journal of Computational and Applied Mathematics 335 (2018): 156-167.
Triet Le Minh, Tran Thi Khieu, Tra Quoc Khanh and Hoang-Hung Vo. "On a space fractional backward diffusion problem and its approximation of local solution." Journal of Computational and Applied Mathematics 346 (2019): 440-455.
Tran Thi Khieu, Luan Tran, Hong Nguyen, Tra Quoc Khanh*. "Recovery of the temperature distribution in a multilayer fractional diffusion equation." Bulletin of the Australian Mathematical Society 100.2 (2019): 344-352.
Tran Nhat Luan, Tran Thi Khieu, and Tra Quoc Khanh*. "Regularized solution of the Cauchy problem for the biharmonic equation." Bulletin of the Malaysian Mathematical Sciences Society 43.1 (2020): 757-782.
Tran Nhat Luan, and Tra Quoc Khanh*. "Determination of temperature distribution and thermal flux for two-dimensional inhomogeneous sideways heat equations." Advances in Computational Mathematics 46.4 (2020): 1-28.
Tran Nhat Luan, Tran Thi Khieu, and Tra Quoc Khanh*. "A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations." Numerical Algorithms 86.4 (2021): 1721-1746.
Tran Nhat Luan, and Tra Quoc Khanh*. "On the backward problem for parabolic equations with memory." Applicable Analysis 100.7 (2021): 1414-1431.
Tran Nhat Luan, and Tra Quoc Khanh*. "Determination of Initial Distribution for a Space-Fractional Diffusion Equation with Time-Dependent Diffusivity." Bulletin of the Malaysian Mathematical Sciences Society 44.5 (2021): 3461-3487.
Tran Thi Khieu, and Tra Quoc Khanh*. "Fractional filter method for recovering the historical distribution for diffusion equations with coupling operator of local and nonlocal type." Numerical Algorithms 89.4 (2022): 1743-1767.
Tra Quoc Khanh*, and Tran Thi Khieu. "Reconstructing the historical distribution of diffusion equation with poly-fractional operator in multi-dimensional space." Communications on Pure and Applied Analysis (2024), Volume 23, Issue 8: 1064-1086.
Tran Thi Khieu, and Tra Quoc Khanh*. "Sobolev-type regularization method for the backward diffusion equation with fractional Laplacian and time-dependent coefficient." Math. Methods Appl. Sci. (2025), Volume 48, Issue 2: 2085-2101.
Tran Thi Khieu, and Tra Quoc Khanh*. "Stability Results for Evolution Equations Involving Superposition Operators of Mixed Fractional Orders." Mediterr. J. Math. 22, 13 (2025).
(*) indicates the corresponding author.