68. (with Tran Nhan Tam Quyen) Convergence rates for total
variation regularization of coefficient identification problems in elliptic
equations I. Inverse Problems 27(2011), 075008, 28pp.67. (with Nguyen Trung
Thành and H. Sahli) Thermal infrared technique for landmine detection:Mathematical formulation and methods. Acta Mathematica Vietnamica
36(2011), No. 2, 469--504. (special issue dedicated to Professor Tran Duc Van on the occasion of his 60th birthday).
66. (with Nguyen Trung Thành and H. Sahli)
Detection and characterization of buried landmines using infrared
thermography. Inverse Problems in Science and Engineering 19(2011), 281--307.
65. (with Nguyen
Van Duc) Stability results for backward parabolic equations with time-dependent
coefficients. Inverse Problems 27(2011), 025003 (20pp).
64. (with Tran Nhan Tam Quyen)
Convergence rates for Tikhonov regularization of coefficient
identification problems in Laplace-type equations. Inverse Problems 26(2010),
125014 (23pp).
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 4(2010),
89--119.
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, 75(2010), 291--315.
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.
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.
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.
58. (with Nguyen
Van Duc) Stability results for the heat equation backward in time. J. Math.
Anal. Appl. 353(2009), 627--641.
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.
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.
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.
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.
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.
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.
51. (with Pham
Minh Hien and H. Sahli) Stability results for a Cauchy problem for an elliptic
equation. Inverse Problems 23(2007), 421--461.
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.
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.
48. (with H.-J.
Reinhardt, J. Frohne and F.-T. Suttmeier) Multidimensional inverse heat
conduction calculations. PAMM 6(2006), 757--758.
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.
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.
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.
44. (with H. Sahli) On a Class of Severely Ill-PosedProblems. Vietnam
J. Maths 32(2004), 143--152.
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.
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.
41. (with Pham Minh Hien) Stability Results for the
Cauchy Problem for the Laplace Equation in a Strip.
Inverse Problems 19(2003), 833--844.
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.
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.
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.
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.
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.
35. (with L. Marin and D. Lesnic) Conjugate
Gradient-Boundary Element Method for a Cauchy problem in the Lamé system. In A.
J. Kassab and C. A. Brebbia (eds) Boundary Element Technology XIV , WIT
Press, Southampton, 2001, 229--238.
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.
33. (with Mai Thi Thu) Stability Results for Fractional
Differentiation. Appl. Anal. 76(2000), 249--260.
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.
31. (with H.-J. Reinhardt) Gradient Methods for Inverse
Heat Conduction Problems. Inverse Problems in Engineering. 6:3(1998),
177--211.
30. (with H.-J. Reinhardt and Y. Jarny) A Variational
Method for Multi-Dimensional Inverse Heat Conduction Problems. Matimyas
Matematika, 21(1998), 48--56.
29. (with H.-J. Reinhardt) On a Sideways Parabolic
Equation. Inverse Problems 13(1997), 297--309.
28. A Mollification Method for a Noncharacteristic
Cauchy Problem for a Parabolic Equation. J. Math. Anal. Appl. 199(1996),
873--909.
27. (with H.-J. Reinhardt) Recent Contributions to
Linear Inverse Heat Conduction Problems. J. Inverse and Ill-Posed Problems
4(1996), 23--32.
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.
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.
24. (with H.-J. Reinhardt and A. Schneider)
Regularization of a Noncharacteristic Cauchy Problem for a Parabolic Equation. Inverse
Problems 11(1995), 1247--1263.
23. (with H.-J. Reinhardt and A. Schneider) Stable
Approximation of Fractional Derivatives of Rough Functions. BIT
35(1995), 488--503.
22. Determination of a Coefficient in an Elliptic
Partial Differential Equation. J. Inverse and Ill-Posed Problems
3(1995), 11--20
21. On Some Linear Inverse Heat Conduction Problems. SEA
Bull. Math. 19(1995), Nr. 2, 51--58.
20. (with H.-J. Reinhardt) Sequential Approximation to
Nonlinear Inverse Heat Conduction Problems. Mathl. Computer Modelling
20(1994), Nr. 10/11, 189--200.
19. (with H.-J. Reinhardt and F. Seiffarth) Stable
Fractional Numerical Differentiation by Mollification. Numer. Funct. Anal.
and Optimiz. 15(1994), 635--659.
18. A Mollification Method for Ill-posed
Problems. Numer. Math. 68(1994), 469--506.
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).
16. A Noncharacteristic Cauchy Problem for Linear
Parabolic Equations and Related Inverse Problems I: Solvability. Inverse
Problems 10(1994), 295--315.
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.
14. A Noncharacteristic Cauchy Problem for Linear
Parabolic Equations II: A Variational Method. Numer. Funct. Anal. and
Optimiz. 13(1992), 541--564.
13. A Noncharacteristic Cauchy Problem for Linear
Parabolic Equations I: Solvability. Math. Nachr. 171(1995), 177--206.
12. Regularization of a Noncharacteristic Cauchy
Problem for the Heat Equation. Math. Meth. in the Appl. Sci. 15(1992),
537--545.
11. (with Tran Duc Van and R. Gorenflo) Towards the Cauchy
Problem for the Laplace Equation. Banach Center Publications 27(1992),
111--128.
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.
9. (with R. Gorenflo) A Noncharacteristic Cauchy
Problem for the Heat Equation. Acta Appl. Math. 24(1991), 1--27.
8. (with R. Gorenflo) An Ill-Posed Problem for the Heat
Equation. Z. angew. Math. Mech. 71(1991), 213--236.
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.
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.
5. Notes on the Benjamin-Bona-Mahony Equation. Appl.
Anal. 35(1990), 221--246.
4. Notes on a Nonlinear Dispersive Equation. Z. angew. Math. Mech. 70(1990), T627--T628.
3. Finite Difference Method for an Optimal Control
Problem of Quantum Processes. Acta Math. Vietnamica 14(1989), Nr. 2,
3--11.
2. Approximating an Optimal Control Problem of Quantum
Processes by the Finite Element Method. Acta Math. Vietnamica 12(1987),
Nr. 2, 135--146.
1. Optimal Control of Quantum Systems. Avtomatika i Telemechanika 2(1986), 14--21 (in Russian). English
Transl. "Automat. Remote Control" 47(1986), Nr. 2, part 1,
162--168. MR0838376 (87e:49009) (Dinʹ Nʹo Khao)
Conference Papers