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Dinh Nho Hào

[Born in Thixa Hatinh, Hatinh, Vietnam]      
                                                             Ở mãi kinh kỳ với bút nghiên                                           
                                                             Đêm đêm quán trọ thức thi đèn             
                                                             Xót xa một buổi soi gương cũ      
                                                             Thấy lệch bao nhiêu mặt chữ điền.                                  
                                                                                 -- Nguyễn Bính --        
Address:

Hanoi Institute of Mathematics

18 Hoang Quoc Viet Road

10307 Hanoi, Vietnam

Phone: (0084) (4) 37 563 474/108

Fax: (0084) (4) 37 564 303
E-mail: hao@math.ac.vn    dinhnhohao13@gmail.com

Education:

  • M Sc in Mathematics : Bacu State University (former Soviet Union), 1978-1983
  • Dr rer nat (PhD): Free University of Berlin, November 1991
  • Habilitation: University of Siegen, Germany, January 1996                                 
Academic appointments:
  • Since 1984-: Researcher, Hanoi Institute of Mathematics
  • October 1988 - February 1992: DAAD Research Fellow, Mathematics Department, Free University of Berlin
  • April 1993 - April 1996: Scientific Employee, Mathematics Department, University of Siegen, supported by the German Research Association (DFG)
  • Since January 10, 1996: Privatdocent, University of Siegen
  • May - July 1996: Guest Professor, University of Siegen
  • October - November 1996: Visiting Professor, Institut National des Sciences Appliquees de Rouen (INSA de Rouen), France
  • November 1997 - October 1998: CNR Research Fellow, Mathematics Department, Politecnico di Milano, Milan, Italy
  • June - July 1999: Visiting Professor, Institut National des Sciences Appliquees de Rouen (INSA de Rouen), France
  • September - October 1999: Visiting Professor, The University of Leeds, UK
  • December 1999 - June 2001: Alexander von Humboldt Fellow, Mathematics Department, Johann Wolfgang Goethe-University, Frankfurt am Main, Germany
  • March - June 2001, March - June 2002: Visiting Professor, INSA de Rouen, France.

Research: Partial differential equations (PDEs), Inverse and ill-posed problems in PDEs, nonlinear analysis, optimal control theory, and numerical analysis

Editorship:

Editor of Acta Mathematica Vietnamica: 2002-2007
Deputy Editor-in-Chief, Acta Mathematica Vietnamica, 2007 –
Publication
 

Books

1.   (with Tran Duc Van) Differential Operators of Infinite Order with Real Arguments and Their Applications, World Scientific Publishing Co., Inc., River Edge, NJ, 1994, 240 pages.

2.   Methods for Inverse Heat Conduction Problems. Peter Lang, Frankfurt/Main - Bern - New York - Paris, 1998, 249 pages.

Journal Papers and Book Contributions

1.      Optimal Control of Quantum Processes. Avtomatika i Telemechanika 2(1986), 14--21 (in Russian). English Transl. "Automat. Remote Control" 47(1986), Nr. 2, part 1, 162--168.

2.      Approximating an Optimal Control Problem of Quantum Processes by the Finite Element Method. Acta Math. Vietnamica 12(1987), Nr. 2, 135--146.

3.      Finite Difference Method for an Optimal Control Problem of Quantum Processes. Acta Math. Vietnamica 14(1989), Nr. 2, 3--11.

4.      Notes on a Nonlinear Dispersive Equation. Z. angew. Math. Mech. 70(1990), T627--T628.

5.      Notes on the Benjamin-Bona-Mahony Equation. Appl. Anal. 35(1990), 221--246.

6.      (with Tran Duc Van and R. Gorenflo) Approximating the Solution to the Cauchy Problem and the Boundary Value Problem for the Laplace Equation. In A.Vogel et al. (eds.) Theory and Practice of Geophysical Data Inversion, Vieweg & Sohn, Braunschweig/Wiesbaden, 1990, 35--48.

7.      (with Tran Duc Van, Trinh Ngoc Minh and R. Gorenflo) On the Cauchy Problems for Systems of Partial Differential Equations with a Distinguished Variable. Numer. Funct. Anal. and Optimiz. 12(1991), 213--236.

8.      (with R. Gorenflo) An Ill-Posed Problem for the Heat Equation. Z. angew. Math. Mech. 71(1991), 213--236.

9.      (with R. Gorenflo) A Noncharacteristic Cauchy Problem for the Heat Equation. Acta Appl. Math. 24(1991), 1--27.

10.  (with Tran Duc Van) Pseudodifferential Operators with Real Analytic Symbols and Approximation Methods for Pseudodifferential Equations. Math. Meth. in the Appl. Sci. 15(1992), 239--264.

11.  (with Tran Duc Van and R. Gorenflo) Towards the Cauchy Problem for the Laplace Equation. Banach Center Publications 27(1992), 111--128.

12.  Regularization of a Noncharacteristic Cauchy Problem for the Heat Equation. Math. Meth. in the Appl. Sci. 15(1992), 537--545.

13.  A Noncharacteristic Cauchy Problem for Linear Parabolic Equations I: Solvability. Math. Nachr. 171(1995), 177--206.

14.  A Noncharacteristic Cauchy Problem for Linear Parabolic Equations II: A Variational Method. Numer. Funct. Anal. and Optimiz. 13(1992), 541--564.

15.  A Noncharacteristic Cauchy Problem for Linear Parabolic Equations III: A Variational Method and Its Approximation Schemes. Numer. Funct. Anal. and Optimiz. 13(1992), 565--583.

16.  A Noncharacteristic Cauchy Problem for Linear Parabolic Equations and Related Inverse Problems I: Solvability. Inverse Problems 10(1994), 295--315.

17.  A Noncharacteristic Cauchy Problem for Linear Parabolic Equations and Related Inverse Problems II: A Variational Method. Pitman Res. Notes in Maths 263, 43--56 (1992).

18.  A Mollification Method for Ill-posed Problems. Numer. Math. 68(1994), 469--506.

19.  (with H.-J. Reinhardt and F. Seiffarth) Stable Fractional Numerical Differentiation by Mollification. Numer. Funct. Anal. and Optimiz. 15(1994), 635--659.

20.  (with H.-J. Reinhardt) Sequential Approximation to Nonlinear Inverse Heat Conduction Problems. Mathl. Computer Modelling 20(1994), Nr. 10/11, 189--200.

21.  On Some Linear Inverse Heat Conduction Problems. SEA Bull. Math. 19(1995), Nr. 2, 51--58.

22.  Determination of a Coefficient in an Elliptic Partial Differential Equation. J. Inverse and Ill-Posed Problems 3(1995), 11--20.

23.  (with H.-J. Reinhardt and A. Schneider) Stable Approximation of Fractional Derivatives of Rough Functions. BIT 35(1995), 488--503.

24.  (with H.-J. Reinhardt and A. Schneider) Regularization of a Noncharacteristic Cauchy Problem for a Parabolic Equation. Inverse Problems 11(1995), 1247--1263.

25.  (with 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.

26.  (with H.-J. Reinhardt) A Sequential Conjugate Gradient Method for the Stable Numerical Solution to Inverse Heat Conduction Problems. Inverse Problems in Engineering 2(1996), 263--272.

27.  (with H.-J. Reinhardt) Recent Contributions to Linear Inverse Heat Conduction Problems. J. Inverse and Ill-Posed Problems 4(1996), 23--32.

28.  A Mollification Method for a Noncharacteristic Cauchy Problem for a Parabolic Equation. J. Math. Anal. Appl. 199(1996), 873--909.

29.  (with H.-J. Reinhardt) On a Sideways Parabolic Equation. Inverse Problems 13(1997), 297--309.

30.  (with H.-J. Reinhardt and Y. Jarny) A Variational Method for Multi-Dimensional Inverse Heat Conduction Problems. Matimyas Matematika, 21(1998), 48--56.

31.  (with H.-J. Reinhardt) Gradient Methods for Inverse Heat Conduction Problems. Inverse Problems in Engineering. 6:3(1998), 177--211.

32.  (with H.-J. Reinhardt and H. Han) Stability and Regularization of a Discrete Approximation to the Cauchy Problem for Laplace's Equation. SIAM J. Numer. Math. 36(1999), 890--905.

33.  (with Mai Thi Thu) Stability Results for Fractional Differentiation. Appl. Anal. 76(2000), 249--260.

34.  (with D. Lesnic) The Cauchy Problem for Laplace's Equation using the Conjugate Gradient Method. IMA Journal of Applied Mathematics. 65(2000), 199--217.

35.  (with L. Marin and D. Lesnic) Conjugate Gradient-Boundary Element Method for a Cauchy problem in the Lame' system. In A. J. Kassab and C. A. Brebbia (eds) Boundary Element Technology XIV , WIT Press, Southampton, 2001, 229--238.

36.  (with H.-J. Reinhardt and A. Schneider) Numerical Solution to a Sideways Parabolic Equation. Inter. J. Numer. Methods in Engr. 50(2001), 1253--1267.

 37.  (with H.A. Le-Thi  and T. Pham-Dinh) Towards Tikhonov Regularization of Non-Linear Ill-Posed Problems: a DC Programming Approach. C. R. Acad. Sci. Paris Ser. I Math. 335(2002), 1073--1078.

38.  (with L. Marin and D. Lesnic) Conjugate Gradient-Boundary Element Method for the Cauchy problem in elasticity. Quarterly J. Mech. Appl. Math. 55(2002), 227--247.
39.  (with H.A. Le-Thi  and T. Pham-Dinh) On the Ill-Posedness of the Trust Region Subproblem. J. Inverse and Ill-Posed Problems 11(2003), No. 6, 545—577.

40.  (with H.A. Le-Thi  and T. Pham-Dinh) Solving an Inverse Problem for an Elliptic Equation by D.C. Programming. J. Global Optimization 25(2003), 407--423.

41.  (with Pham Minh Hien) Stability Results for the Cauchy Problem for the Laplace Equation in a Strip.  Inverse Problems 19(2003), 833--844.

42.  A Variational Method for a Domain Identification Problem for a Parabolic Equation. In N. M. Chuong, L. Nirenberg, W. Tuschke (eds)  Abstract and Applied Analysis. World Scientific 2004, 125--138.

43.  (with H.-J. Reinhardt) A Generalization of Beck's Method for Inverse Heat Conduction Problems. In N.  M. Chuong, L. Nirenberg, W. Tuschke (eds)  Abstract and Applied Analysis. World Scientific 2004, 287--303.

44.  (with H. Sahli) On a Class of Severely Ill-Posed Problems. Vietnam J. Maths 32(2004), 143-152.

45.  (with Lixin Yang and H. Sahli) A Variational Approach For 3d Line Orientation Estimation From Motion. Machine Graphics & Vision (MGV) 14(2005), 441-453.

46.  (with H. Sahli) Stable Analytic Continuation via Mollification and the Fast Fourier Transform. In Methods of Complex and Clifford Analysis. SAS International Publications 2006, 143-152.

47.  (with Lixin Yang and H Sahli) Motion estimation by hybrid diffusion: Theory and implementation.  J. Inverse and Ill-Posed Problems 14(2006), 307-330.

 

48.  (with H.-J. Reinhardt, J. Frohne and F.-T. Suttmeier)  Multidimensional inverse heat conduction calculations. PAMM 6(2006), 757-758.

 

49.  (with Nguyễn Trung Thành and H Sahli) Numerical solution to a parabolic boundary control problem. Advances in Deterministic and Stochastic Analysis. World Scientific 2007, 115-129.

 

50.  (with Nguyễn Trung Thành and H Sahli) 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. 

 

51.  (with Pham Minh Hien and H. Sahli) Stability results for a Cauchy problem for an elliptic equation. Inverse Problems 23(2007), 421-461.

 

52.  (with H.-J. Reinhardt, J. Frohne and F.-T. Suttmeier) Numerical solution of inverse heat conduction problems in two spatial dimensions.  J. Inverse and Ill-Posed Problems 15(2007), 181--198.

 

53.  (with Nguyễn Trung Thành and H Sahli) Estimation of piecewise constant coefficients of parabolic equations: applications to the detection of buried objects. Inverse Problems in Science and Engineering 16(2008), 903-925.

 

54.  (with Nguyễn Trung Thành and H Sahli) Numerical solution of a multi-dimensional inverse heat conduction problem by a splitting-based conjugate gradient method. Journal of Physics: Conference Series 135(2008), 012049, 1-8.

 

55.  (with Nguyễn Van Duc and H Sahli) A non-local boundary value problem method for parabolic equations backwards in time.  J. Math. Anal. Appl. 345(2008), 805—815.
 
56.  (with Nguyễn Trung Thành and H Sahli) Infrared thermography for buried landmine detection: inverse problem setting. IEEE Trans. Geoscience and Remote Sensing 46(2008), 3977--4004.
 
57.  (with Nguyễn Trung Thành and H Sahli) Infrared thermography for landmine detection. In R. Hammoud (Editor). Applied Perception in Thermal-Infrared Imagery. Springer – Verlag 2008, 3-36.
 
      58.  (with Nguyen Van Duc) Stability results for the heat equation backward in time. J. Math. Anal. Appl. 353(2009), 627--641.
 
      59.  (with Nguyen Van Duc and D. Lesnic) A non-local boundary value problem method for the Cauchy problem for   elliptic equations. Inverse Problems 25(2009), 055002, 27pp.
 
      60.  (with M. Alrefaya, H.Sahli, I. Vanhamel) A nonlinear probabilistic curvature motion filter for positron emission tomography images. Lecture Notes in Computer Science 5567, 2009, 212--223.
 
      61. (with Nguyễn Trung Thành, H Sahli) A splitting-based conjugate gradient for a multi-dimensional inverse heat conduction problem. J. Comput. Applied Maths 232(2009), 361--377.
 
      62.  (with Nguyen Van Duc and D. Lesnic)  Regularization of parabolic equations backwards in time by a non-local boundary value problem method. IMA Journal of Applied Mathematics (in print), 2009.
 
     63.  (with T. Johansson,  D. Lesnic, and Pham Minh Hien)  A variational method for a Cauchy problem for elliptic equations. Journal of Algorithms and Computational Technology (to appear).
 
       Conference Papers
 

64.  On a Control Problem for the Schrödinger Equation. In M. M. Gasimov and A. D. Iskenderov (eds.) Numerical Methods and Computers, Baku, 1982, 58--63 (in Russian).

65.  (with H.-J. Reinhardt and F. Seiffarth) Approximate Solutions of Illposed Cauchy Problems for Parabolic Equations. In H. A. Eschenauer et al. (eds.) FOMAAS Fortschrittsbericht 1992-1994, University of Siegen - 1994, 126--144.

66.  (with H.-J. Reinhardt) Towards Linear Inverse Heat Conduction Problems. In E. Lipitakis (ed.) Proceedings of the HERMIS 1994, Athens, 1994, 101--110.

67.  Stability Results on a Non-Characteristic Cauchy Problem for a Parabolic Equation. In D. D. Ang et al (eds.) Inverse Problems with Applications to Geophysics, Industry, Medicine and Technology. Ho Chi Minh City, 1995, 71--82.

68.  (with H.-J. Reinhardt) Efficient Numerical Solution to Inverse Heat Conduction Problems. In K.-W. Wang et al. (eds.) Proceedings of the 1995 Design Engineering Technical Conferences, Vol. 3 -- Part C, ASME, New York, 1995, 917--922.

69.  (with H.-J. Reinhardt) On the Numerical Solution of Inverse Heat Conduction Problems by Gradient Methods. In D. Delaunay, Y. Jarny, K. A. Woodbury (eds.), Inverse Problems in Engineering. Theory and Practice. ASME, New York, 1998, 385--392.

70.  (with H.A. Le-Thi and T. Pham-Dinh) D.C. (Difference of Convex Functions) Programming for Solving an Inverse Problem for an Elliptic Equation. In D. Li (eds) ICOTA 2001: Proceedings of the 5th International Conference on Optimization: Techniques and Applications. December 15--17, 2001, Hong Kong, 112--119.

71.  (with M. Charton and H.-J. Reinhardt) Numerical Solution of a Shape Optimization Problem. In D. Petit, D.B. Ingham, Y Jarny and F. Plourde (eds) Inverse Problems and Experimental Design in Thermal and Mechanical Engineering, Eurotherm Seminar 68, March 5-7, 2001, Poitiers, France,  2002, 101 - 107.

72.  (with Lixin Yang and H. Sahli) A Variational Approach For 3d Line Orientation Estimation From Motion. International Conference on Computer Vision and Graphics. September 25--29, 2002, Zakopane, Poland, 809--814.

73.  (with L. van Kempen, H. Sahli, G. Hislop and T. Tang)  A Comparison of GPR Reconstruction Techniques. In E Slob, A Yarovoy and J Rhebergen (eds) Tenth International Conference on Ground Penetrating Radars, June 21-24, 2004,  TU Delft, 345--348.      

74.  (with  Pham Minh Hien and H. Sahli) A Cauchy problem for an elliptic equation in a strip. In D. Lesnic (Editor) Proceedings of the 5th Conference on Inverse Problems in Engineering: Theory and Practice, Cambridge, UK, July 11-15, 2005, Leeds University Press, Leeds, 2005, Vol 2, pp H03/1-10.

75.  (with Lixin Yang and H. Sahli) A hybrid diffusion model for 2D dense motion estimation. In D. Lesnic (Editor) Proceedings of the 5th Conference on Inverse Problems in Engineering: Theory and Practice, Cambridge, UK, July 11-15, 2005, Leeds Univ Press, Leeds, 2005, Vol 3, pp Y02/1-10.

76.  (with Nguyễn Trung Thành, P Lopez, F Cremer and H Sahli) Thermal Infrared Identification of buried landmines.  In "Detection and Remediation Technologies for Mines and Minelike Targets X”, edited by Russell S Harman, J Thomas Broach, John H Holloway, Jr.,  Proceedings of SPIE vol. 5794, pp. 198--208.

77.  Contributions to Some Inverse and Ill-Posed Problems for Parabolic and Elliptic Equations: Theory and Applications. In H. Takabe, N. H. Luong and Y. Onuki (eds). Frontiers of Basic Science: Towards New Physics - Earth and Space Science – Mathematics. Osaka University Press 2006, 381-386.

78.  (with Nguyễn Trung Thành and H Sahli) Thermal modeling for landmine detection: efficient numerical methods and soil parameters estimation. In "Detection and Remediation Technologies for Mines and Minelike Targets XI”, edited by J. Thomas Broach, Russel S. Harmon,  John H Holloway, Proceedings of SPIE Vol. 6217, pp 6217Q1-12, 2006.

 

79.  (with L. M. van Kempen and H. Sahli) Using the adjoint method for solving the nonlinear GPR inverse problem. In "Detection and Remediation Technologies for Mines and Minelike Targets XI”, edited by J. Thomas Broach, Russel S. Harmon,  John H Holloway, Proceedings of SPIE Vol. 6217, pp 621734/1-9, 2006.

 

80.  (with L. M. van Kempen, Nguyễn Trung Thành and H. Sahli) Solving the full nonlinear inverse problem for GPR using a three step method.  4th International Workshop on Advanced Ground Penetrating Radar, IWAGPR, Napoli, Italy, June 27-29, 2007, pp. 147-152.

 

81.  (with Nguyễn Trung Thành and H Sahli) Detection of buried landmines using infrared thermal technique. 5th International Conference on Heat and Mass Transfer, Canmore, Alberta, Canada, June 18-22, 2007, pp. 393-402.

 

 

PREPRINTS

  • (with Nguyễn Trung Thành, H Sahli) Forward thermal model for landmine detection. Technical Report, Vrije Universiteit Brussel, IRIS-TR 0098, 2006, 54 pages.
  • (with D. Lesnic, T. Johansson)  The boundary value method for the inverse heat conduction problem in Liptschitz domains.
  • (with Nguyễn Trung Thành, H Sahli) Detection and characterization of buried landmines using infrared thermography.
  • (with Nguyen Van Duc) Backward parabolic equations with time-dependent coefficients: stability estimates and regularization.

 

   Lecture Notes

  • Introduction to Partial Differential Equations. University of Siegen, 1996. 106 pages.