Dinh Nho Hao


Full Professor, Doctor of Science

Department of Differential Equations
Research interests:

Inverse problems and ill-posed problems


Address
Office: Building A5, Room 305
Tel: +84 24 37563474 / 306
Email: hao AT math.ac.vn
Personal homepage: https://sites.google.com/site/dinhnhohao13/

Education and academic degrees

  • Bachelor/Master: 1978-1983, ĐHTH Baku, Azerbaijan
  • PhD.: 1991, Freie Universität Berlin, Germany
  • Doctor of Science: 1996, Universität Siegen, Germany
  • Professor: 2003
  • Full Professor: 2009

Research areas: partial differential equations, inverse and ill-posed problems in partial differential equations, optimal control, image processing, numerical analysis

 

Member of the Editorial Board

 

 

PUBLICATIONS


List of publications in MathSciNet

List of recent publications
1Pham Quy Muoi, Dinh Nho Hao, SK Sahoo, D Tang, Cuong Dang, Nguyen Huu Cong, Inverse Problems with Nonnegative and Sparse Solutions: Algorithms and Application to the Phase Retrieval Problem, Inverse Problems, 34 (2018), 21 pages.
2Dinh Nho Hao, Nguyen Van Duc, Nguyen Van Thang, Backward semi-linear parabolic equations with time-dependent coefficients and locally Lipschitz source, Inverse Problems, 34 (2018), 33 pages.
3Dinh Nho Hao, Nguyen Thi Ngoc Oanh, Determination of the initial condition in parabolic equations from integral  observations, Inverse Problems in Science and Engineering, 25 (2017), 1138--1167.
4N.Y. Aksoy, Dinh Nho Hao, G. Yagubov, Finite Difference Method for an Optimal Control Problem for a nonlinear Schro"dinger equation, Numerical Functional Analysis and Optimization, 38 (2017), 799-817.
5Dinh Nho Hao, Bui Viet Huong, Nguyen Thi Ngoc Oanh, Phan Xuan Thanh, Determination of a term in the right-hand side of parabolic equations, Journal of Computational and Applied Mathematics, 309 (2017), 28–43.
6Dinh Nho Hao, Nguyen Thi Ngoc Oanh, Determination of the initial condition in parabolic equations from boundary observations. Journal of Inverse and Ill-posed Problems, 24 (2016), 195–220.
7Pham Quy Muoi, Dinh Nho Hao, Peter Maass, Michael Pidcock, Descent gradient methods for nonsmooth minimization problems in ill-posed problems, Journal of Computational and Applied Mathematics, 298 (2016), 105–122.
8Dinh Nho Hao, Bui Viet Huong, Phan Xuan Thanh, D. Lesnic, Identification of nonlinear heat transfer laws from boundary observations. Applicable Analysis, 94 (2015), 1784–1799.
9Dinh Nho Hao, Nguyen Van Duc, A non-local boundary value problem method for semi-linear parabolic equations backward in time. Appl. Anal. 94 (2015), 446-463.
10Dinh Nho Hao, Nguyen Van Duc and Nguyen Van Thang, Stability estimates for Burgers-type equations. J. Inverse Ill-Posed Probl. 23(2015), 41-49.
11Dinh Nho Hao, Phan Xuan Thanh and D. Lesnic, Determination of the ambient temperature in transient heat conduction. IMA J. Appl. Math. 80(2015), 24-46.
12Dinh Nho Hao, Tran Nhan Tam Quyen, Finite element methods for coefficient identification in an elliptic equation. Appl. Anal. 93 (2014), 1533–1566.
13Dinh Nho Hao, Phan Xuan Thanh, Lesnic, D., Ivanchov, M, Determination of a source in the heat equation from integral observations. J. Comput. Appl. Math. 264 (2014), 82–98.
14Dinh Nho Hao, Phan Xuan Thanh and D. Lesnic, Determination of the heat transfer coefficients in transient heat conduction, Inverse Problems, 9 (2013).
15Dinh Nho Hao, Pham Quy Muoi, Peter Maass and Michael Pidcock, Semismooth Newton and quasi-Newton methods in weighted $\ell ^{1}$-regularization,  J. Inverse Ill-Posed Probl., 21 (2013), 665 - 693.
16Dinh Nho Hao, La Huu Chuong, D. Lesnic, Heuristic regularization methods for numerical differentiation  Comput. Math. Appl., 63 (2012), 816 -- 826.
17Dinh Nho Hao, Phan Xuan Thanh, D. Lesnic and B. T. Johansson, A boundary element method for a multi-dimensionalinverse heat conduction problem,  Inter. J. Computer Maths. , 89 (2012), 1540 -- 1554.
18Dinh Nho Hao, Tran Nhan Tam Quyen, Convergence rates for total variation regularization of coefficient identification problems in elliptic equations II,  J. Math. Anal. Appl., 388 (2012), 593 --616.
19Dinh Nho Hao, Tran Nhan Tam Quyen, Convergence rates for Tikhonov regularization of a two-coefficient identification problem in an elliptic boundary value problem,  Numer. Math., 120 (2012), 45 -- 77.
20Dinh Nho Hao, Nguyen Van Duc, Regularization of backward parabolic equations in Banach spaces,  Inverse Ill-Posed Probl. 20 (2012), 745 - 763.
21Dinh Nho Hao, N. T. Thanh and H. Sahli, Detection and characterization of buried landmines using infrared thermography,  Inverse Problems in Science and Engineering  19 (2011), 281 -- 307.
22Dinh Nho Hao, N. T. Thanh and H. Sahli, Passive infrared technique  for buried object detection and classification. In:  The 8th IEEE Workshop on Object Tracking and Classification Beyond the Visible Spectrum, 2011, DOI: 10.1109/CVPRW.2011.5981879, (ISBN: 978-1-4577-0529-8).
23Dinh Nho Hao, N. T. Thanh and H. Sahli, Thermal infrared technique for landmine detection: Mathematical formulation and methodsActa Math. Vietnamica  36 (2011), 469 -- 504.
24Dinh Nho Hao, T. N. T. Quyen, Convergence rates for total variation regularization of coefficient identification problems in elliptic equations I,  Inverse Problems  27 (2011), 075008, 28pp.
25Dinh Nho Hao, N. V. Duc, Stability results for backward parabolic equations with time-dependent coefficients, Inverse Problems  27 (2011), 025003, 20pp.
26Dinh Nho Hao, Pham Minh Hien, T. Johansson and D. Lesnic, A variational method for a Cauchy problem for elliptic equations, Journal of Algorithms and Computational Technology,  4 (2010), 89 -- 119.
27Dinh Nho Hao, T. N. T. Quyen, Convergence rates for Tikhonov regularization of coefficient identification problems in Laplace-type equations,  Inverse Problems, 26 (2010), 23p.
28Dinh Nho Hao, N. V. Duc and D. Lesnic, Regularization of parabolic equations backward in time by a non-local boundary value problem method, IMA J. Applied Mathematics, 75 (2010), 291 -- 315.
29Nguyễn Trung Thành, Dinh Nho Hao, H Sahli, Infrared thermography for landmine detection. In R. Hammoud (Editor). Applied Perception in Thermal-Infrared Imagery. Springer – Verlag 2009, 3 - 36.
30Dinh Nho Hao, M. Alrefaya, H.Sahli and I. Vanhamel, A nonlinear probabilistic curvature motion filter for positron emission tomography images, Lecture Notes in Computer Science, 5567 (2009), 212-223.
31Dinh Nho Hao, Nguyễn Trung Thành and H. Sahli, Splitting-based conjugate gradient for a multi-dimensional inverse heat conduction problem, Journal of Computational and Applied Mathematics, 232 (2009), 361-377.
32Dinh Nho Hao, Nguyen Van Duc and D. Lesni, A non-local boundary value problem method for the Cauchy problem for elliptic equations, Inverse Problems, 25 (2009),  055002, 27pp.
33Dinh Nho Hao, Nguyen Van Duc, Stability results for the heat equation backward in time, Journal of Mathematical Analysis and Applications, 353 (2009), 627-641.
34Nguyễn Trung Thành, H Sahli, Dinh Nho Hao, Infrared thermography for buried landmine detection: inverse problem setting. IEEE Trans. Geoscience and Remote Sensing 46 (2008), 3977 - 4004.
35Dinh Nho Hao, Nguyễn Trung Thành, H Sahli, Numerical solution of multi-dimensional inverse heat conduction problem by a splitting-based conjugate gradient method, Journal of Physics: Conference Series 135 (2008), 1 – 8.
36Dinh Nho Hao, N. V. Duc and H. Sahli, A non-local boundary value problem method for parabolic equations backward in time, J. Math. Anal. Appl. 345 (2008), 805 - 815.
37N. T. Thanh, H. Sahli, Dinh Nho Hao, Estimation of piecewise constant coefficients of parabolic equations: applications to the detection of buried objects, Inverse Probl. Sci. Eng. 16 (2008), 903 - 925.
38Nguyễn Trung Thành, H Sahli, Dinh Nho Hao, Finite difference methods and validity of a thermal model for landmine detection with soil property estimation. IEEE Trans. Geoscience and Remote Sensing 45 (2007), 656 - 674.
39Dinh Nho Hao, Pham Minh Hien and H Sahli, Stability results for a Cauchy problem for an elliptic equation, Inverse Problems 23 (2007), N0 1, 421 - 461.
40H.-J. Reinhardt, Dinh Nho Hao, J. Frohne, F.-T. Suttmeier, Numerical solution of inverse heat conduction problems in two spatial dimensions, J. Inverse Ill-Posed Probl. 15 (2007),  181 - 198.
41Dinh Nho Hao, N. T. Thanh and H. Sahli, Numerical solution to a non-linear parabolic boundary control problem. In: Advances in deterministic and stochastic analysis, 115 - 129, World Sci. Publ., Hackensack, NJ, 2007.
42L. X. Yang, Dinh Nho Hao, and H. Sahli, Motion estimation by hybrid diffusion: theory and implementation, J. Inverse Ill-Posed Probl. 14 (2006), 307 - 330.
43Dinh Nho Hao, H. Sahli, Stable analytic continuation by mollification and the fast Fourier transform. In: Methods of complex and Clifford analysis, 143 - 152, SAS Int. Publ., Delhi, 2004.
44Dinh Nho Hao, H. Sahli, On a class of severely ill-posed problems, Vietnam J. Math. 32 (2004), Special Issue, 143 - 152.
45Dinh Nho Hao, L. Van Kempen, G. Hislop, T. Tang and H. Sahli, A comparison of GPR reconstruction techniques. In: The tenth International Conference on Ground Penetrating Radar (GPR 2004), 345 - 348, Delft, The Netherlands, 2004.
46Dinh Nho Hao, H.-J. Reinhardt, A generalization of Beck's method for inverse heat conduction problems. In: Abstract and applied analysis, 287 - 303, World Sci. Publishing, River Edge, NJ, 2004.
47Dinh Nho Hao, A variational method for a domain identification problem for a parabolic equation. In: Abstract and applied analysis, 125 - 138, World Sci. Publishing, River Edge, NJ, 2004.
48 Le Thi Hoai, Pham Dinh, Dinh Nho Hao, An, Tao, On the ill-posedness of the trust region subproblem,  J. Inverse Ill-Posed Probl. 11 (2003), 545 - 577.
49Dinh Nho Hao, Pham Minh Hien, Stability results for the Cauchy problem for the Laplace equation in a strip, Inverse Problems 19 (2003), 833 - 844.
50Le Thi Hoai An, Pham Dinh Tao, Dinh Nho Hao, Solving an inverse problem for an elliptic equation by d.c. programming, J. Global Optim. 25 (2003), 407 - 423.
51L. T. H. An, P. D. Tao, Dinh Nho Hao, Towards Tikhonov regularization of non-linear ill-posed problems: a dc programming approach, C. R. Math. Acad. Sci. Paris 335 (2002), 1073 - 1078.
52L. Marin, Dinh Nho Hao, D. Lesnic, Conjugate gradient-boundary element method for the Cauchy problem in elasticity, Quart. J. Mech. Appl. Math. 55 (2002), 227 - 247.
53Dinh Nho Hao, H.-J. Reinhardt, A. Schneider, Numerical solution to a sideways parabolic equation, Internat. J. Numer. Methods Engrg. 50 (2001), N0 5, 1253 - 1267.
54Dinh Nho Hao, M. T. Thu, Stability results for fractional differentiation. Appl. Anal. 76 (2000), 249 - 260.
55Dinh Nho Hao, D. Lesnic, The Cauchy problem for Laplace's equation via the conjugate gradient method. IMA J. Appl. Math. 65 (2000), 199 - 217.
56Hans Jürgen Reinhardt, Houde Han, Dinh Nho Hao, Stability and regularization of a discrete approximation to the Cauchy problem for Laplace's equation. SIAM J. Numer. Anal. 36 (1999), 890 - 905.
57Dinh Nho Hao, H.-J. Reinhardt and Y. Jarny, A variational method for multi-dimensional inverse heat conduction problems. Matimyas Matematika August 1998, 48 - 56.
58Dinh Nho Hao, H.-J. Reinhardt, Gradient methods for inverse heat conduction problems. Inverse Problems in Engineering 6 (1998), 177 - 211.
59Dinh Nho Hao, Methods for inverse heat conduction problems. 249 pages. Peter Lang, Frankfurt am Main - Bern - New York - Paris, 1998.
60Dinh Nho Hao, H.-J. Reinhardt, On the numerical solution of inverse heat conduction problems by gradient methods. In: Theory and Practice ASME, D. Delaunay, Y. Jarny, K. A. Woodbury (eds.), Inverse Problems in Engineering. New York, 1998, 385 - 392.
61Dinh Nho Hao, H.-J. Reinhardt, On a sideways parabolic equation. Inverse Problems 13 (1997), 297 - 309.
62Dinh Nho Hao, A mollification method for a noncharacteristic Cauchy problem for a parabolic equation. J. Math. Anal. Appl. 199 (1996), 873 - 909.
63Dinh Nho Hao, H.-J. Reinhardt, Recent contributions to linear inverse heat conduction problems. J. Inverse and Ill-Posed Problems 4 (1996), 23 - 32.
64H.-J. Reinhardt, Dinh Nho Hao, A sequential conjugate gradient method for the stable numerical solution to inverse heat conduction problems. Inverse Problems in Engineering 2 (1996), 263 - 272.
65Dinh Nho Hao, Introduction to partial differential equations. University of Siegen, Summer 1996, 106 pages.
66Dinh Nho Hao, H.-J. Reinhardt, Stable numerical solution to linear inverse heat conduction problems by the conjugate gradient methods. J. Inverse and Ill-Posed Problems 3 (1995), 447 - 467.
67Dinh Nho Hao, A Schneiders and H -J Reinhardt, Regularization of a noncharacteristic Cauchy problem for a parabolic equation. Inverse Problems 11 (1995), 1247 - 1263.
68Dinh Nho Hao, H.-J. Reinhardt and A. Schneider, Stable approximation of fractional derivatives of rough functions. BIT 35 (1995), 488 - 503.
69Dinh Nho Hao, Determination of a coefficient in an elliptic partial differential equation. J. Inverse and Ill-Posed Problems 3 (1995), 11 - 20.
70Dinh Nho Hao, On some linear inverse heat conduction problems. SEA Bull. Math. 19 (1995), 51 - 58.
71Dinh Nho Hao, HJ Reinhardt, Efficient numerical solution to inverse heat conduction problems. In: Proceedings of the 1995 Design Engineering Technical Conferences, Vol. 3 - Part C, ASME, New York, 1995, 917 - 922.
72Dinh Nho Hao, Stability results on a non-characteristic Cauchy problem for a parabolic equation. In: Proceedings of inverse Problems with Applications to Geophysics, Industry, Medicine and Technology. Ho Chi Minh City Math. Consortium 1995, 71 - 82.
73Dinh Nho Hao, A noncharacteristic Cauchy problem for linear parabolic equations I: solvability. Math. Nachr. 171 (1995), 177 - 206.
74Dinh Nho Hao, H.-J. Reinhardt, Towards linear inverse heat conduction problems. In: Proceedings of the HERMIS 1994. Hellenic Math. Soc. Athens 1994, 101 - 110.
75Dinh Nho Hao, H.-J. Reinhardt and F. Seiffarth, Approximate solutions of illposed Cauchy problems for parabolic equations. In: FOMAAS, H. A. Eschenauer et al. (eds.) Fortschrittsbericht 1992-1994, University of Siegen- 1994, 126 - 144.
76H.-J. Reinhardt, Dinh Nho Hao, Sequential approximation to nonlinear inverse heat conduction problems. Math. Comput. Modelling 20 (1994), 189 - 200.
77Dinh Nho Hao, H. -J. Reinhardt & F. Seiffarth, Stable fractional numerical differentiation by mollification. Numer. Funct. Anal. Optim. 15 (1994), 635 - 659.
78Dinh Nho Hao, A mollification method for ill-posed problems. Numer. Math. 68 (1994), 469 - 506.
79Dinh Nho Hao, A noncharacteristic Cauchy problem for linear parabolic equations and related inverse problems I: solvability. Inverse Problems 10 (1994), 295 - 315.
80Tran Duc Van, Dinh Nho Hao, Differential operators of infinite order with real arguments and their applications, World Scientific Publishing Co., Inc., River Edge, NJ, 240 pages, 1994.
81Dinh Nho Hao, A noncharacteristic Cauchy problem for linear parabolic equations and related inverse problems II: a variational method. Pitman Res. Notes in Maths 263 (1992), 43 - 56.
82Dinh Nho Hao, A noncharacteristic Cauchy problem for linear parabolic equations III: a variational method and its approximation schemes. Numer. Funct. Anal. Optim. 13 (1992), 565 - 583.
83Dinh Nho Hao, A noncharacteristic Cauchy problem for linear parabolic equations II: a variational method. Numer. Funct. Anal. Optim. 13 (1992), 541 - 564.
84Dinh Nho Hao, Regularization of a noncharacteristic Cauchy problem for the heat equation. Math. Methods Appl. Sci. 15 (1992), 537 - 545.
85Dinh Nho Hao, T. D. Van and R. Gorenflo, Towards the Cauchy problem for the Laplace equation. Banach Center Publ. 27 (1992), 111 - 128.
86Tran Duc Van, Dinh Nho Hao, Pseudodifferential operators with real analytic symbols and approximation methods for pseudodifferential equations. Math. Methods Appl. Sci. 15 (1992), 239 - 264.
87Tran Duc Van, Dinh Nho Hao, Trinh Ngoc Minh, Rudolf Gorenflo, On the Cauchy problems for systems of partial differential equations with a distinguished variable. Numer. Funct. Anal. Optim. 12 (1991), 213 - 236.
88Dinh Nho Hao, Gorenflo, R., A noncharacteristic Cauchy problem for the heat equation. Acta Appl. Math. 24 (1991), 1 - 27.
89Dinh Nho Hao, Gorenflo, R., An ill-posed problem for the heat equation. Z. Angew. Math. Mech. 71 (1991), 759 - 762.
90Dinh Nho Hao, Tran Duc Van and R. Gorenflo, Approximating the solution to the Cauchy problem and the boundary value problem for the Laplace equation. In: Theory and Practice of Geophysical Data Inversion (eds.: A. Vogel et al.), Vieweg & Sohn, Braunschweig/Wiesbaden, 1990, 35 - 48.
91Dinh Nho Hao, Notes on the Benjamin-Bona-Mahony equation. Appl. Anal. 35 (1990), 221 - 246.
92Dinh Nho Hao, Notes on a nonlinear dispersive equation. Z. angew. Math. Mech. 70 (1990), 627 - 628.
93Dinh Nho Hao, Finite difference method for an optimal control problem of quantum processes. Acta Math. Vietnam. 14 (1989), 3 - 11.
94Dinh Nho Hao, Approximating an optimal control problem of quantum processes by the finite element method. Acta Math. Vietnam. 12 (1987), 135 - 146.
95Dinh Nho Hao, Optimal control of quantum processes. Avtomatika i Telemechanika 2 (1986), 14 - 21. Eng. Transl.: "Automat. Remote Control" 47 (1986), N0 2, 162 - 168 (in Russian).
96Dinh Nho Hao, On a control problem for the Schrodinger equation. In: "Numerical Methods and Computers", M. M. Gasimov and A. D. Iskenderov (eds.), Baku State Univ. Press, 1982, 58-63 (in Russian).