
DANG Duc Trong, PhD
Professor,
Department of Probability and Statistics
Faculty of Mathematics & Computer Science
University of Science, VNUHCM
Ho Chi Minh City, Vietnam
Tel: (+84) 287 3089 899
Email:ddtrong@hcmus.edu.vn
Scientific Education
- 1982: University of Science, Vietnam National University-Ho Chi Minh City, BSc. in Mathematics
- 1996: University of Science, National University-Ho Chi Minh City and Ecole Polytechnique de Paris, France, Doctor Degree in Mathematics
Academic & Research Experience
- Inverse and Ill-posed Problems
- Nonparametric Statistics
Publication List (selected from 2013-now)
- M. Triet, P.H. Quan, D.D. Trong, and N. H. Tuan, A backward parabolic equation with a time-dependent coefficient: Regularization and error estimate, J. Comput. Appl. Math. 237 (2013), no. 1, 432-441
- H. Tuan, P.H. Quan. D.D. Trong, L.M. Triet, On a backward heat problem with time-dependent coefficient: regularization and error estimates. Appl. Math. Comput. 219 (2013), no. 11, 6066–6073.
- Quan, Pham Hoang; Trong, Dang Duc; Triet, Le Minh On a backward nonlinear parabolic equation with time and space dependent thermal conductivity: regularization and error estimates. J. Inverse Ill-Posed Probl. 22 (2014), no. 3, 375–401
- Trong, Dang Duc; Thanh, Dinh Ngoc; Lan, Nguyen Nhu; Uyen, Pham Hoang Calibration of the purely T-dependent Black-Scholes implied volatility. Appl. Anal. 93 (2014), no. 4, 859–874.
- Nam, Phan Thanh; Dinh Alain, Pham Ngoc; Trong, Dang Duc; Quan, Pham Hoang. Ice formation in the Arctic during summer: false-bottoms. Appl. Math. Comput. 227 (2014), 857–870.
- H. Tuan, D.D. Trong, On a backward parabolic problem with local Lipschitz source. J. Math. Anal. Appl. 414 (2014), no. 2, 678–692.
- Trong, Dang Duc; Phuong, Cao Xuan; Tuyen, Truong Trung; Thanh, Dinh Ngoc Tikhonov's regularization to the deconvolution problem. Comm. Statist. Theory Methods 43 (2014), no. 20, 4384–4400.
- Tran, Quoc Viet; Nguyen, Huy Tuan; Nguyen, Van Thinh; Dang, Duc Trong A general filter regularization method to solve the three dimensional Cauchy problem for inhomogeneous Helmholtz-type equations: theory and numerical simulation. Appl. Math. Model. 38 (2014), no. 17-18, 4460–4479.
- Trong, Dang Duc; Khanh, To Duc; Tuan, Nguyen Huy; Minh, Nguyen Dang; Nonparametric regression in a statistical modified Helmholtz equation using the Fourier spectral regularization. Statistics 49 (2015), no. 2, 267–290.
- D. Trong, B. T. Duy, M. N. Minh, Backward heat equations with locally Lipschitz source, Applicable Analysis, DOI: 10.1080/00036811.2014.963063, 2015.
- Nguyen Huy Tuan, Le Duc Thang, Dang Duc Trong & Vo Anh Khoa: Approximation of mild solutions of the linear and nonlinear elliptic equations, Inverse Problems in Science and Engineering, Vol. 23, Issue 7, (2015) pages 1237-1266 DOI: 10.1080/17415977.2014.993983
- D. Trong, T. T. Q. Nguyen, C. X. Phuong, Deconvolution of P(X < Y) with compactly supported error densities, Statistics and Probability Letters 123 (2017) 171–176.
- D. Minh, Khanh T. D., N. H. Tuan and D. D. Trong, A two-dimensional backward heat problem with statistical discrete data, J. Inverse-illposed Prob., DOI: 10.1515/jiip-2016-0038 (2017)
- Nguyen Huy Tuan, Dang Duc Trong, Dinh Nguyen Duy Hai and Duong Dang Xuan Thanh, A Riesz–Feller space-fractional backward diffusion problem with a time-dependent coefficient: regularization and error estimates, Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.4284. (2017)
- Cao Xuan Phuong, Dang Duc Trong & Tran Quoc Viet (2017): On the mean L1-error in the heteroscedastic deconvolution problem with compactly supported noises, Communications in Statistics - Theory and Methods, DOI:10.1080/03610926.2017.1364389
- Duc Trong Dang, Erkan Nane, Dang Minh Nguyen, Nguyen Huy Tuan, Continuity of Solutions of a Class of Fractional Equations, Potential Analysis, DOI 10.1007/s11118-017-9663-5
- Tran Quoc Viet, Nguyen Minh Dien, Dang Duc Trong, Stability of solutions of a class of nonlinear fractional Laplacian parabolic problems, Journal of Computational and Applied Mathematics 355 (2019) 51–76
- Dang Duc Trong, Dinh Nguyen Duy Hai, Nguyen Dang Minh, Optimal regularization for an unknown source of space-fractional diffusion equation, Applied Mathematics and Computation 349 (2019) 184–206 .
- Dang Duc Trong, Nguyen Minh Dien, Stability of solutions of a class of nonlinear fractional diffusion equations with respect to a pseudo-differential operator, Math Meth Appl Sci. 2019;42:2513–2532., DOI: 10.1002/mma.5528
- Dang Duc Trong, Nguyen Minh Dien and Tran Quoc Viet, Global solution of space-fractional diffusion equations with nonlinear reaction source terms, APPLICABLE ANALYSIS, 2019, https://doi.org/10.1080/00036811.2019.1582030
- D. Trong, D.N.D. Hai and N.M. Dien, On a time–space fractional backward diffusion problem with inexact orders, Computers and Mathematics with Applications (2019), https://doi.org/10.1016/j.camwa.2019.03.014.
- Dang Duc Trong, Dinh Nguyen Duy Hai* and Nguyen Dang Minh. Stepwise regularization method for a nonlinear Riesz–Feller space-fractional backward diffusion problem, J. Inverse Ill-Posed Probl. 2019, https://doi.org/10.1515/jiip-2018-0033
- Dang Duc Trong, Cao Xuan Phuong & Tran Quoc Viet (2019): Nonparametric estimation of random effects densities in a linear mixed-effects model with Fourier-oscillating noise density, Communications in Statistics - Theory and Methods, DOI: 10.1080/03610926.2019.1625923
- Dang Duc Trong, Ton That Quang Nguyen, Nguyen Nhu Lan, Heteroscedastic Deconvolution of ℙ(X < Y) with Compactly Supported Error Densities, Journal of Statistical Theory and Practice (2019) 13:50, https://doi.org/10.1007/s42519-019-0050-y