Hoang Xuan Phu


Full Professor, Doctor of Science

Department of Numerical Analysis and Scientific Computing
Research interests: Optimization, Optimal Control, Numerical Analysis and Scientific Computing, Functional Analysis


Address
Office: Building A5, Room 212
Tel: +84 (0)4 37563474 /212
Email: hxphu AT math.ac.vn
Personal homepage: http://hpsc.iwr.uni-heidelberg.de/hxphu/

Education and academic degrees:

  • 1975 - 1979: Study of Mathematics, University of Leipzig    
  • 1981 - 1983: Promotion (Dr. rer. nat.), University of Leipzig   
  • 1985 - 1987: Habilitation (Dr. sc. nat.), University of Leipzig
  • 1992: Associate Professor
  • 1996:  Professor


Some Scientific Functions
:

  • 2007 - 2012: Chair of the Scientific Commission of the Institute of Mathematics, Vietnam Academy of Science and Technology    
  • 2010 - 2016: Ambassador Scientist (Vertrauenswissenschaftler) of the Alexander von Humboldt Foundation (Alexander von Humboldt-Stiftung), Germany    
  • 2011 - 2014: Member of the Commission for Developing Countries (CDC) of the International Mathematical Union (IMU)

 

Editorship

  • 1996 - 1999: Member of the Editorial Board of Acta Mathematica Vietnamica    
  • 1998 - July 2011: Deputy Editor-in-Chief of the Vietnam Journal of Mathematics (VJM)
  • since 2003: Member of the Editorial Board of the Vietnam Journal of Mathematical Applications
  • since 2011: Associate Editor of the journal Mathematische Nachrichten
  • since 2011: Associate Editor of the East Asian Journal on Applied Mathematics (EAJAM)
  • since Aug. 2011: Editor-in-Chief of the Vietnam Journal of Mathematics (VJM)    

 

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications
1Dang Thi Oanh, Oleg Davydov, Hoang Xuan Phu, Adaptive RBF-FD method for elliptic problems with point singularities in 2D. Applied Mathematics and Computation, 313 (2017), 474–497.
2Hoang Xuan Phu, Inner γ-Convex Functions in Normed Linear Spaces, Vietnam Journal of Mathematics, 43(2015), 487-500.
3Hoang Xuan Phu, H. G. Bock, A Common Regularization for Three Reservoir Optimal Control Problems, J. Optim. Theory Appl., 157 (2013), 199 - 228.
4Hoang Xuan Phu, V. M. Pho, Some properties of boundedly perturbed strictly convex quadratic functions,  Optimazation, 61 (2012), 67 -- 88.
5Hoang Xuan Phu, V. M. Pho, Phan Thanh An, Maximizing strictly convex quadratic functions with bounded perturbation, Journal of Optimization Theory and Applications, 149 (2011), 1-25.
6Hoang Xuan Phu, Minimizing convex functions with bounded perturbations, SIAM J. Optim., 20 (2010), 2709-2729.
7Hoang Xuan Phu, Global infimum of strictly convex quadratic functions with bounded perturbations,Mathematical Methods of Operations Research, 72 (2010), 327 -- 345.
8Hoang Xuan Phu, Supremizers of inner $\gamma$-convex functions, Math. Methods Oper. Res. 67 (2008), 207 - 222.
9Hoang Xuan Phu, Outer $\Gamma$-convexity in vector spaces, Numer. Funct. Anal. Optim. 29 (2008), 835 - 854.
10Hoang Xuan Phu, Outer $\gamma$-convexity and inner $\gamma$-convexity of disturbed functions, Vietnam J. Math. 35 (2007), 107 - 119.
11Hoang Xuan Phu, Some properties of solution sets to nonconvex quadratic programming problems, Optimization 56 (2007), 369 - 383.
12Hoang Xuan Phu, Some basic ideas of rough anlysis. In: Proceedings of the sixth Vietnamese Mathematics Conference, Hanoi National University Publishing House, 2005, 3 - 31.
13Hoang Xuan Phu, On a necessary optimality condition with invexity Acta Math. Vietnam. 29 (2004), 141 - 148.
14Hoang Xuan Phu, On some badly-solved problems with invexityActa Math. Vietnam. 29 (2004), 89 - 106.
15Hoang Xuan Phu, Is invexity weaker than convexity? Vietnam J. Math. 32 (2004),  87 - 94.
16Hoang Xuan Phu, Approximate fixed-point theorems for discontinuous mappings, Numer. Funct. Anal. Optim. 25 (2004), 119 - 136.
17Hoang Xuan Phu, Fixed-point properties of roughly contractive mappings, Z. Anal. Anwendungen 22 (2003), 517 - 528.
18Hoang Xuan Phu, Some geometrical properties of outer $\gamma$-convex sets, Numer. Funct. Anal. Optim. 24 (2003), 303 - 309.
19Hoang Xuan Phu, Rough convergence in infinite-dimensional normed spaces, Numer. Funct. Anal. Optim. 24 (2003), 285 - 301.
20Hoang Xuan Phu, Strictly and roughly convexlike functions, J. Optim. Theory Appl. 117 (2003), 139 - 156.
21Hoang Xuan Phu, On circumradii of sets and roughly contractive mappings, Vietnam J. Math. 31 (2003), 115  - 122.
22Hoang Xuan Phu, N.N. Hai, Phan Thanh An, Piecewise constant roughly convex functions, J. Optim. Theory Appl. 117 (2003), 415 - 438.
23Hoang Xuan Phu, Orienting method for obstacle problems. Z. Anal. Anwendungen 21 (2002, 233 - 248.
24Hoang Xuan Phu, Rough continuity of linear operators, Numer. Funct. Anal. Optim. 23 (2002), 139 - 146.
25Nguyen Ngoc Hai, Hoang Xuan Phu, Boundedness of symmetrically $\gamma$-convex functions. Dedicated to Pham Huu Sach on the occasion of his sixtieth birthda,  Acta Math. Vietnam. 26 (2001), 269 - 277.
26Hoang Xuan Phu, Rough convergence in normed linear spaces, Numer. Funct. Anal. Optim. 22 (2001),  199 - 222.
27Hoang Xuan Phu, Nguyen Dong Yen, On the stability of solutions to quadratic programming problems. Math. Program. 89 (2001),  Ser.A, 385 - 394.
28J. Hichert, A. Hoffmann, Hoang Xuan Phu, R. Reinhardt, A primal-dual integral method in global optimization. Discussiones Mathematicae. Differential Inclusions, Control and Optimization 20 (2000), 257-278.
29Hoang Xuan Phu, Tran Van Truong, Invariant property of roughly contractive mappings. Vietnam J. Math. 28 (2000), 275 - 290.
30Hoang Xuan Phu, Hans Georg Bock, Sabine Pickenhain, Rough stability of solutions to nonconvex optimization problems, In "Optimization, Dynamics and Economic Analysis: Essays in Honor of Gustav Feichtinger" Editors: E. J. Dockner, R. F. Hartl, M. Luptacik, G. Sorger Springer/Physica, 2000, 22 - 35.
31Nguyen Ngoc Hai, Hoang Xuan Phu, Symmetrically $\gamma$-convex functions. Optimization 46 (1999), 1 - 23.
32Hoang Xuan Phu, Phan Thanh An, Outer $\gamma$-convexity in normed linear spaces. Vietnam J. Math. 27 (1999), 323 - 334.
33Hoang Xuan Phu, Phan Thanh An, Stability of generalized convex functions with respect to linear disturbances, Optimization 46 (1999), 381 - 389.
34Hoang Xuan Phu, Roughly convex functions. In: Proceeding of the Korea - Vietnam Joint Seminar "Mathematical Optimization Theory and Applications", Editors: Do Sang Kim and Pham Huu Sach, Pusan 1998, 73 - 85.
35Hoang Xuan Phu, Six kinds of roughly convex functions. J. Optim. Theory Appl. 92 (1997), 357 - 375.
36Hoang Xuan Phu, Bock, Hans Georg; Schlöder, Johannes P., The method of orienting curves and its application for manipulator trajectory planning. Numer. Funct. Anal. Optim. 18 (1997),  213 - 225.
37Hoang Xuan Phu, Convergence speed of an integral method for computing the essential supremum. In: Developments in Global Optimization, Editors: I. M. Bomze, T. Csendes, R. Horst, and P. M. Pardalos, Kluwer Academic Publishers 1997, 153 - 170.
38Hoang Xuan Phu, A Hoffmann, Essential supremum and supremum of summable functions. Numer. Funct. Anal. Optim. 17 (1996), 167 - 180.
39Hoang Xuan Phu, Nguyen Ngoc Hai, Some analytical properties of $\gamma$-convex functions on the real line. J. Optim. Theory Appl. 91 (1996), 671 - 694.
40Hoang Xuan Phu, Phan Thanh An, Stable generalization of convex functions. Optimization 3 (1996), 309 - 318.
41Hoang Xuan Phu, H. G. Bock and J. Schloder, Extremal solutions of some constrained control problems. Optimization 35 (1995), 345 - 355.
42Hoang Xuan Phu, Some properties of globally $\delta$-convex functions. Optimization 35 (1995), 23 - 41.
43Hoang Xuan Phu, Nguyen Dinh, Some remarks on the method of orienting curves. Numer. Funct. Anal. Optim. 16 (1995), 755 - 763.
44Hoang Xuan Phu, $\gamma$-subdifferential and $\gamma$-convexity of functions on a normed space. J. Optim. Theory Appl. 85 (1995), No 3, 649 - 676.
45Hoang Xuan Phu, Representation of Bounded Convex Sets By Rational Convex Hull Of Its Gamma-Extreme Points. Numer. Funct. Anal. Optim. 15 (1994), No 7-8, 915 - 920.
46Hoang Xuan Phu, $\gamma$ subdifferential and $\gamma$-convexity of functions on the real line. Appl. Math. Optim. 27 (1993), 145 - 160.
47Nguyen Dinh, Hoang Xuan Phu, The method of orienting curves and its application to an optimal control problem of hydroelectric power plants, Vietnam J. Math. (Tạp chí Toán học), 20 (1992), 40 - 53.
48Nguyen Dinh, Hoang Xuan Phu, Solving a class of optimal control problems which are linear in the control variable by the method of orienting curves. Acta Math. Vietnam. 17 (1992), 115 - 134.
49Nguyen Dinh, Hoang Xuan Phu, Solving a class of regular optimal control problems with state constraints by the method of orienting curves. Optimization 25 (1992), 231 - 247.
50Hoang Xuan Phu, Investigation of a macroeconomic model by the method of region analysis, J. Optim. Theory Appl. 72 (1992), 319 - 332.
51Hoang Xuan Phu, The method of region analysis and its application for optimal control problems of hydroelectric power plants, In: Proceedings of the Fourth European Consortium for Mathematics in Industry, B. G. Teubner Stuttgart and Kluwer Academic Publishers, the Netherlands, 1991, 309 - 313.
52Hoang Xuan Phu, Method of orienting curves for solving optimal control problems with state constraints. Numer. Funct. Anal. Optim. 12 (1991), 173 - 211.
53Hoang Xuan Phu, A solution method for regular optimal control problems with state constraints. J. Optim Theory Appl. 62 (1989), 489 - 513.
54Hoang Xuan Phu, Optimal control of a hydroelectric power plant with unregulated spilling water. Systems Control Lett. 10 (1988), 131 - 139.
55Hoang Xuan Phu, Regulare aufgaben der optimalen steuerung mit linearen zustandsrestriktionen. Z. Anal. Anwendungen 7 (1988), 431 - 440.
56Hoang Xuan Phu, Investigation of some inventory problems with linear replenishment cost by the method of region analysis, In: Optimal Control Theory and Economic Analysis, Edited by G. Feichtinger, North-Holland, Amsterdam, Holland, 1988, 195 - 221.
57Hoang Xuan Phu, Linear optimal control problem of a system with circuit-free graph structure. Int. J. Control 48 (1988), 1867 - 1882.
58Hoang Xuan Phu, Solution of some high-dimensional linear optimal control problems by the method of region analysis. Int. J. Control 47 (1988), 493 - 518.
59Hoang Xuan Phu, Methode der Bereichsanalyse und Methode der Orientierungskurven zur Losung von Aufgaben Optimaler Steuerung mit Zustandsbeschrọnkungen. Habilitations-schrift, Leipzig, 1987.
60Hoang Xuan Phu, On optimal control of a hydroelectric power plant. Systems Control Lett. 8 (1987), 281 - 288.
61Hoang Xuan Phu, A method for solving a class of optimal control problems which are linear in the control variable. Systems Control Lett. 8 (1987), 273 - 280.
62Hoang Xuan Phu, Some necesssary conditions for optimality for a class of optimal control problems which are linear in the control variable. Systems Control Lett. 8 (1987), 261 - 271.
63Hoang Xuan Phu, Ein konstruktives losungsverfahren fur das problem des inpolygons kleinsten umfangs von J. Steiner. Optimization 18 (1987), 349 - 359.
64Hoang Xuan Phu, Zur Losung eines Zermeloschen Navigationsproblems. Optimization 18 (1987), 225 - 236.
65Hoang Xuan Phu, Zur Losung einer regularen Aufgabenklasse der optimalen Steuerung im Großen mittels Orientierungskurven. Optimization 18 (1987), 65 - 81.
66Hoang Xuan Phu, Zur Losung des Knickstab-Problems mit beschrankter Ausbiegung. Z. Anal. Anwendungen 6 (1987), No 4, 371 - 384.
67Hoang Xuan Phu, Einige notwendige Optimalitatsbedingungen fur einfache regulare Aufgaben der optimalen Steuerung. Z. Anal. Anwendungen 5 (1986), 465 - 475.
68Hoang Xuan Phu, Losung einer eindimensionalen regulọren Aufgaben der optimalen Steuerung mit engen Zustandsbereichen anhand der Methode der Bereichsanalyse. Optimization 16 (1985), 431 - 438.
69Hoang Xuan Phu, Lineare Steuerungsprobleme mit engen Zustandsbereichen. Optimization 16 (1985), 273 - 284.
70Hoang Xuan Phu, Zur Stetigkeit der Losung der adjungierten Gleichung bei Aufgaben der optimalen teuerung mit Zustandsbeschrọnkungen. Zeitschrift fur Analysis und ihre Anwendungen 3 (1984), 527 - 539.
71Hoang Xuan Phu, Methoden zur Losung von Aufgaben der optimalen Steuerung mit engen Zustandsbereichen. Dissertation, Universitọt Leipzig, 1983.