**American Journal of Mathematics and Statistics**

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.

**p-ISSN:**2162-948X**e-ISSN:**2162-8475**Website:**http://journal.sapub.org/ajms

## Tuan Nguyen Huy

**Editorial Board Member of**

*American Journal of Mathematics and Statistics*Lecturer, Faculty of Mathematics and Statistics, Ton Duc Thang University, VietNam, Vietnam

**Research Areas**

Partial Differential Equation, Inverse Problem

### Education

2010 | Ph.D | Mathematics, Viet Nam National University at HoChi Minh city |

2005 | B.S | Mathematics, Viet Nam National University at HoChi Minh city |

### Experience

2010-present | Head of Section, Saigon University |

2010 | Instructor, Saigon University |

2006-2009 | Instructor, Ton Duc Thang University, HCM city |

2005-2006 | Instructor, Nong Lam University, HCM city |

### Academic Achievement

6/2010: Excellent performance in research and study Award |

4/2010: Award given by Dean of Saigon University in teaching Olympic team and achieved high result in National Mathematic Olympic (Two of second places and two of third places) |

4/2009: Award given by Dean of Saigon University in teaching Olympic team and achieved high result in National Mathematic Olympic (First place, one second place and two of third places) |

2007: Received scholarship to continue in PhD of Applied Mathematics Department at New South Wales University, Australia (Not participate because of family emergency) |

2006: Received scholarship from Australian Mathematic organization to study and research for one month at International Mathematic School, Queensland University, Australia |

2005: Graduated from University with major in Computer Mathematic and earned maximum point for thesis. This thesis was considered excellent and was published by Electronic Journal of Differential Equations |

2002: Award of third place in National Mathematic Students by Mathematic Organization of Vietnam |

2000: Olympic gold medal 30/4 in Mathematic Student of South area in Viet Nam |

1998: Award in "National Excellent Mathematic student" by Education Organization |

### Publications: Conferences/Workshops/Symposiums/Journals/Books

[1] | D. D. Trong and N.H. Tuan, Regularization and error estimates for nonhomogeneous backward heat problems, Electron. J. Differential Equations, No. 4, 10 pp, 2006. |

[2] | D. D. Trong, P. H. Quan, T.V. Khanh and N.H. Tuan, A nonlinear case of the 1-D backward heat problem: regularization and error estimate, Z. Anal. Anwend., 26, no. 2, 231--245. (SCI-E), 2007. |

[3] | D. D. Trong and N.H. Tuan, A nonhomogeneous backward heat problem: regularization and error estimates, Electron. J. Differential Equations, 2008, No. 33, 14 pp, 2008. |

[4] | D. D. Trong and N.H. Tuan, Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems, Electron. J. Differential Equations, 2008, No. 84, 12 pp, 2008. |

[5] | D. D. Trong and N.H. Tuan, Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method, Electron. J. Diff. Eqns., Vol. 2009, No. 77, pp. 1-13, 2009. |

[6] | D.D. Trong and N.H. Tuan, Regularization of the nonlinear backward heat problem using a method of integral equation, Nonlinear Anal., Volume 71, pp. 4167-4176. 2009 (SCI). |

[7] | N. H. Tuan and D.D. Trong, A new regularized method for two dimensional nonhomogeneous backward heat problem. Appl. Math. Comput. 215, no. 3, 873—880, 2009. (SCI-E). |

[8] | D. D. Trong, P. H. Quan, N.H. Tuan, A quasi-boundary value method for regularizing nonlinear ill-posed problems. Electron. J.Differential Equations 2009, No. 109, 16 pp. |

[9] | P. H. Quan, D. D. Trong, and N. H. Tuan, A new version of quasi-boundary value method for a 1-D nonlinear ill-posed heat problem, J. Inv. Ill-Posed Problems 17 913-932, 2009 (SCI-E). |

[10] | N. H. Tuan, D.D. Trong, P.H. Quan, Note on a paper on nonlinear inverse time heat equation in the unbounded region, Romai J., 5, 2(2009), 169-180. |

[11] | D. D. Trong, P. H. Quan, N.H. Tuan, A final value problem for heat equation: regularization by truncation method and new error estimates, Acta Universitatis Apulensis, No. 22, pp. 41-52, 2010. |

[12] | P. T. Nam, D. D. Trong, N. H. Tuan, The truncation method for a two-dimensional nonhomogeneous backward heat problem, Appl. Math. Comput. 216 (2010), no. 12, 3423--3432 (SCI-E). |

[13] | N. H. Tuan, P.H. Quan, D.D. Trong, A new regularization method for a class of ill-posed Cauchy problems, Sarajevo J. Math. 6(18) (2010), no. 2, 189—201. |

[14] | N.H. Tuan, Regularization for a class of backward parabolic problems. Bull. Math. Anal. Appl. 2 (2010), no. 2, 18—26. |

[15] | N. H. Tuan, P.H. Quan, D.D. Trong, Regularization and new error estimates for a modified Helmholtz equation, An. Ştiinţ. Univ. "Ovidius'' Constanţa Ser. Mat. 18 (2010), no. 2, 267--280. (SCI-E). |

[16] | N. H. Tuan, D.D. Trong, Sharp estimates for approximations to nonlinear backward heat equation, Nonlinear Anal., 73 (2010), no. 11, 3479--3488. (SCI). |

[17] | N. H. Tuan, D.D. Trong, A nonlinear parabolic equation backward in time: regularization with new error estimates, Nonlinear Anal., Volume 73, pp. 1842-1852. 2010 (SCI). |

[18] | N. H. Tuan, D.D. Trong, P.H. Quan, On a backward Cauchy problem associated with continuous spectrum operator, Nonlinear Anal., Volume 73, pp. 1966-1972. 2010 (SCI). |

[19] | N. H. Tuan, P.H. Quan, Convergence rate estimation for a ill-posed heat problem, Romai J., 6, 1(2010), 167-178. |

[20] | N. H. Tuan, D.D. Trong, P.H. Quan, A note on a Cauchy problem for the Laplace equation: Regularization and error estimates. Applied Mathematics and Computation, 217, 2010, no. 7, 2913-2922 (SCIE). |

[21] | N. H. Tuan, P.H. Quan, A cauchy problem for helmholtz equation: regularization and error estimates, Acta Universitatis Apulensis, No. 25, pp. 177-188, 2011. |

[22] | N. H. Tuan, D.D. Trong, P.H. Quan, A modified integral equation method of the semilinear backward heat problem, Applied Mathematics and Computation, Vol 217, 2011, 5177-5185 (SCIE). |

[23] | N. H. Tuan, D.D. Trong, P.H. Quan, N.D.M. Nhat, A nonlinear parabolic backward in time problem : regularization by quasi-reversibility and error estimates, Asian-European Journal of Mathematics, Vol 4, No 1, 2011, 147-163. |

[24] | P.H. Quan, D.D. Trong. L.M. Triet and N. H. Tuan, A modified quasi-boundary value method for regularizing of a backward problem with time-dependent coefficient, Inverse Problems In Science & Engineering, Vol. 19, No. 3, April 2011 (SCI), 2011. |

[25] | N. H. Tuan, D.D. Trong, A simple regularization method for the ill-posed evolution equation, Czechoslovak Mathematical Journal, Vol 6, 85-95, 2011. (SCI-E). |

[26] | N. H. Tuan, D.D. Trong, Two regularization methods for backward heat problems with new error estimates, Nonlinear Analysis Series B: Real World Applications, Volume 12, pp. 1720-1732, 2011 (SCIE). |

[27] | N. H. Tuan and P.H. Quan, A New Quasi-Reversibility Method of a Parabolic Non-linear Evolution Equation Backwards in Time, accepted for publication in Georgian Mathematical Journal, 2011 (SCI-E). |

[28] | N. H. Tuan and P.H. Quan, An improved stability result for a heat equation backward in time, accepted for publication in Mathematical Communications, 2011 (SCI-E). |

[29] | N. H. Tuan, Determination temperature of a heat equation from the final value data, accepted for publication in Surveys in Mathematics and its Applications, 2011. |

[30] | N. H. Tuan, D.D. Trong, P.H. Quan, Notes on a new approximate solution of 2-D heat equations backward in time, to appear in Applied Mathematical Modelling (SCI-E). |

[31] | N. H. Tuan, P.H. Quan, A spectral regularization method for a heat equation backward in time on the plane, accepted for publication in Romai journal. |

[32] | N. H. Tuan, Determination temperature of a backward heat equation with time-dependent coefficients, accepted for publication in Mathematica Slovaca (SCI-E). |

[33] | N. H. Tuan, P.H. Quan, Some extended results on a nonlinear ill-posed heat equation and remark a general case of nonlinear terms, to appear in Nonlinear Analysis Series B: Real World Applications, 2011 (SCIE). |

[34] | N. H. Tuan, A note on a nonlinear backward heat equation: stability and error estimates, accepted for publication in Acta Universitatis Apulensis 2011. |

[35] | N. H. Tuan, D.D. Trong, A regularized method for two dimensional nonlinear heat equation backward in time, accepted for publication in FiLoMat (SCI-E). |

[36] | N. H. Tuan, D.D. Trong, P.H. Quan, Note on a new regularized method for a ill-posed heat problem, to appear in Applied and Computational Mathematical (SCI-E). |