Phan Thanh An
Associate Professor, Doctor
Department of Numerical Analysis and Scientific Computing

Address
Office: Building A5, room 212
Tel: +84 4 37563474 / 212
Email: thanhan AT math.ac.vn; thanhan AT math.ist.utl.pt
Personal homepage: http://vie.math.ac.vn/~thanhan/
Education and academic degrees
 1990: Bachelor, Vinh University, Vietnam
 1999: PhD, Vinh University, Vietnam
 2009: Associate Professor
Positions
 2000 : Researcher (principal investigator since 2011), Institute of Mathematics, Vietnam Academy of Science and Technology, Vietnam
 2000  2015: University of Heidelberg, FU Berlin, International Centre for Theoretical Physics (ICTP), University of Lisbon: Postdoc, investigator, visiting researcher
 19902000: lecturer in Mathematics at Vinh University, Vietnam
Research areas: Numerical Analysis, Optimization, Scientific Computing, Computational geometry
PUBLICATIONS
List of publications in MathSciNet
List of recent publications
1  T. V. Hoai, Phan Thanh An, N. N. Hai, Multiple shooting approach for computing approximately shortest paths on convex polytopes, Journal of Computational and Applied Mathematics, 317 (2017), 235–246. 
2  Le Hong Trang, Attila Kozma, Phan Thanh An, and Moritz Diehl, A sequential convex programming algorithm for minimizing a sum of Euclidean norms with nonconvex constraints, Optimization Methods and Software, 31 (2016), 187203. 
3  Phan Thanh An, Dinh Thanh Giang, A direct method for determining the lower convex hull of a finite point set in 3D, Proceedings of 3rd International Conference on Computer Science, Applied Mathematics and Applications  ICCSAMA 2015, May 1113, Metz, France, Advances in Intelligent Systems and Computing, Springer, Vol. 358, 2015, pp. 1526. 
4  Phan Thanh An, D. T. Giang, L. H. Trang, An exact algorithm for minimizing a sum of Euclidean norms on rays in 2D and 3D, Numerical Functional Analysis and Optimization, 36 (2015), 405–418. 
5  Phan Thanh An, Nguyen Ngoc Hai, Tran Van Hoai, Le Hong Trang, On the performance of triangulationbased multiple shooting method for 2D shortest path problems, LNCS Transactions on Large Scale Data and Knowledge Centered Systems, Springer, 2014, 4556. 
6  Phan Thanh An, N. N. Hai, and T. V. Hoai, The role of graph for solving some geometric shortest path problems in 2D and 3D, Proceedings of the 5th FTRA International Conference on Computer Science and its Applications (CSA13), Danang, Vietnam, December 18  21, 2013, 2013, Lecture Notes in Electrical Engineering (LNEE), Springer, Vol. 279, pp. 179184, 2014. 
7  Phan Thanh An, Le Hong Trang, An efficient convex hull algorithm for finite point sets in 3D based on the Method of Orienting Curves, Optimization, 62 (2013), 975988. 
8  Phan Thanh An, Nguyen Ngoc Hai and Tran Van Hoai, The role of convexity for solving some shortest path problems in plane without triangulation, AIP Conference Proceedings, American Institute of Physics, NY, Vol. 1557 (2013), 8993. 
9  Phan Thanh An, Nguyen Ngoc Hai and Tran Van Hoai, Direct multiple shooting method for solving approximate shortest path problems, Journal of Computational and Applied Mathematics 244 (2013), 67  76. 
10  Nguyen Ngoc Hai, Phan Thanh An, A generalization of Blaschke's convergence theorem in metric spaces, Journal of Convex Analysis, 4 (2013), 1013  1024, preprint IMH2012/02/01. 
11  Phan Thanh An, T. V. Hoai, Incremental convex hull as an orientation to solving the shortest path problem, International Journal of Information and Electronics Engineering, 2 (2012), 652655. 
12  Phan Thanh An, Le Hong Trang, A parallel algorithm based on convexity for the computing of Delaunay tessellation, Numerical Algorithms, 59 (2012), 347 357. 
13  Hoang Xuan Phu, V. M. Pho, Phan Thanh An, Maximizing strictly convex quadratic functions with bounded perturbation, Journal of Optimization Theory and Applications, 149 (2011), 125. 
14  N. N. Hai, Phan Thanh An, Blaschketype theorem and separation of disjoint closed geodesic convex sets, Journal of Optimazation Theory and Applications 3 (2011), 541  551. 
15  Phan Thanh An, D. T. Giang and N. N. Hai, Some computational aspects of geodesic convex sets in a simple polygon, Numerical Functional Analysis and Optimization, 31 (2010), 221 231 
16  Phan Thanh An, Method of orienting curves for determining the convex hull of a finite set of points in the plane, Optimization, 59 (2010), 175  179 
17  Phan Thanh An, Reachable grasps on a polygon of a robot arm: finding convex ropes without triangulation, International Journal of Robotics and Automation, 4 (2010), 304  310. 
18  Phan Thanh An, V. T. T. Binh, Stability of excess demand functions with respect to a strong version of Wald's axiom, AsiaPacific Journal of Operational Research (APJOR) 26 (2009), 523532. 
19  Phan Thanh An, Stability of generalized convexity and monotonicity. In: Mathematical modeling, simulation, visualization and elearning, 193  200, Springer, Berlin, 2008. 
20  Phan Thanh An, Some computational aspects of Hellytype theorems. JNAIAM J. Numer. Anal. Ind. Appl. Math. 3 (2008), 269  274. 
21  Phan Thanh An, P. L. Na and N. Q. Chung, On parametric domain for asymptotic stability with probability one of zero solution of linear Ito stochastic differential equations, Ital. J. Pure Appl. Math., (2007), 129  138. 
22  Phan Thanh An, Hellytype theorems for roughly convexlike sets, Numer. Funct. Anal. Optim. 28 (2007), 553  558. 
23  Phan Thanh An, A modification of Graham's algorithm for determining the convex hull of a finite planar set, Ann. Math. Inform. 34 (2007), 3  8. 
24  Phan Thanh An, Stability of generalized monotone maps with respect to their characterizations, Optimization, 55 (2006), 289299. 
25  Phan Thanh An, A new type of stable generalized convex functions. JIPAM. J. Inequal. Pure Appl. Math. 7 (2006), 10 pp. 
26  Phan Thanh An, Nonemptiness of approximate subdifferentials of midpoint $\delta$convex functions, Numer. Funct. Anal. Optim. 26 (2005), 735  738. 
27  Phan Thanh An, Outer $\gamma$convex functions on a normed space, JIPAM.J. Inequal. Pure Appl. Math. 6 (2005), 8 pp. 
28  Phan Thanh An, Nguyen Ngoc Hai, δConvexity in Normed Linear Spaces, Numer. Funct. Anal. Optim. 25 (2004), 407  422. 
29  Hoang Xuan Phu, N.N. Hai, Phan Thanh An, Piecewise constant roughly convex functions, J. Optim. Theory Appl. 117 (2003), 415  438. 
30  Hoang Xuan Phu, Phan Thanh An, Outer $\gamma$convexity in normed linear spaces. Vietnam J. Math. 27 (1999), 323  334. 
31  Hoang Xuan Phu, Phan Thanh An, Stability of generalized convex functions with respect to linear disturbances, Optimization 46 (1999), 381  389. 
32  Hoang Xuan Phu, Phan Thanh An, Stable generalization of convex functions. Optimization 3 (1996), 309  318. 
1  IMH20161101, Nguyen Ngoc Hai, Phan Thanh An, Phong Thi Thu Huyen, Shortest Paths along a Sequence of Line Segments in Euclidean Spaces. 