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Hoang Xuan Phu
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Mathematical Publications

Prof. Dr. sc. nat. Hoang Xuan Phu

Papers

72. D. T. Oanh, O. Davydov, and H. X. Phu:: Adaptive RBF-FD Method for Elliptic Problems with Point Singularities in 2D, Applied Mathematics and Computation, Vol. 313, pp. 474-497, 2017.
71. H. X. Phu: Inner γ-Convex Functions in Normed Spaces, Vietnam Journal of Mathematics, Vol. 43, No. 2, pp. 487-500, 2015.
70. H. X. Phu and H. G. Bock: A Common Regularization for Three River Discharge Optimization Problems, Journal of Optimization Theory and Applications, Vol. 157, No. 1, pp. 199-228, 2013.
69. H. X. Phu and V. M. Pho: Some Properties of Boundedly Disturbed Strictly Convex Quadratic Functions, Optimization, Vol. 61, No. 1, pp. 67-88, 2012.
68. H. X. Phu, V. M. Pho, and P. T. An: Maximizing Strictly Convex Quadratic Functions with Bounded Perturbation, Journal of Optimization Theory and Applications, Vol. 149, No. 1, pp. 1-25, 2011.
67. H. X. Phu and V. M. Pho: Global Infimum of Strictly Convex Quadratic Functions with Bounded Perturbations, Mathematical Methods of Operations Research, Vol. 72, No. 2, pp. 327-345, 2010.
66. H. X. Phu: Minimizing Convex Functions with Bounded Perturbations, SIAM Journal on Optimization, Vol. 20, No. 5, pp. 2709-2729, 2010.
65. H. D. Minh, H. G. Bock, H. X. Phu, and J. P. Schlöder: Fast Numerical Methods for Simulation of Chemically Reacting Flows in Catalytic Monoliths, in Modeling, Simulation and Optimization of Complex Processes, Editors: H. G. Bock et al., pp. 371-380, Springer, Berlin-Heidelberg, 2008.
64. H. X. Phu: Supremizers of Inner γ-Convex Functions, Mathematical Methods of Operations Research, Vol. 67, No. 2, pp. 207-222, 2008.
63. H. X. Phu: Outer Γ-Convexity in Vector Spaces, Numerical Functional Analysis and Optimization, Vol. 25, No. 7&8, pp. 835-854, 2008.
62. H. X. Phu: Outer γ-Convexity and Inner γ-Convexity of Disturbed Functions, Vietnam Journal of Mathematics, Vol. 35, No. 1, pp. 107-119, 2007.
61. H. X. Phu: Some Properties of Solution Sets to Nonconvex Quadratic Programming Problems, Optimization, Vol. 56, No. 3, pp. 369-383, 2007.
60. H. X. Phu: On Efficient Sets in R2, Vietnam Journal of Mathematics, Vol. 33, No. 4, pp. 463-468, 2005.
59. H. X. Phu and N. N. Hai: Some Analytical Properties of γ-Convex Functions in Normed Linear Spaces, Journal of Optimization Theory and Applications, Vol. 126, No. 3, pp. 685-700, 2005.
58. H. X. Phu: Some Basic Ideas of Rough Analysis, in Proceedings of the Sixth Vietnamese Mathematical Conference, H. H. Khoai, D. T. Thi, D. L. Van (Eds.), pp. 3-31, Hanoi National University Publishing House, Hanoi, 2005. (pdf-file)
57. H. X. Phu: On a Necessary Optimality Condition with Invexity, Acta Mathematica Vietnamica, Vol. 29, No. 2, pp. 141-148, 2004.
56. H. X. Phu: On some Badly-Solved Problems with Invexity, Acta Mathematica Vietnamica, Vol. 29, No. 1, pp. 89-106, 2004.
55. H. X. Phu: Is Invexity Weaker than Convexity? Vietnam Journal of Mathematics, Vol. 32, No. 1, pp. 87-94, 2004.
54. H. X. Phu: Approximate Fixed-Point Theorems for Discontinuous Mappings, Numerical Functional Analysis and Optimization, Vol. 25, No. 1&2, pp. 119-136, 2004.
53. H. X. Phu: Fixed-Point Property of Roughly Contractive Mappings, Zeitschrift für Analysis und ihre Anwendungen, Vol. 22, No. 3, pp. 517-528, 2003.
52. H. X. Phu, N. N. Hai and P. T. An: Piecewise Constant Roughly Convex Functions, Journal of Optimization Theory and Applications, Vol. 117, No. 2, pp. 415-438, 2003.
51. H. X. Phu: Strictly and Roughly Convexlike Functions, Journal of Optimization Theory and Applications, Vol. 117, No. 1, pp. 139-156, 2003.
50. H. X. Phu: Some Geometrical Properties of Outer γ-Convex Sets, Numerical Functional Analysis and Optimization, Vol. 24, No. 3&4, pp. 303-309, 2003.
49. H. X. Phu: Rough Convergence in Infinite Dimensional Normed Spaces, Numerical Functional Analysis and Optimization, Vol. 24, No. 3&4, pp. 285-301, 2003.
48. H. X. Phu: On Circumradii of Sets and Roughly Contractive Mappings, Vietnam Journal of Mathematics, Vol. 31, No. 1, pp. 115-122, 2003.
47. H. X. Phu: Rough Continuity of Linear Operators, Numerical Functional Analysis and Optimization, Vol. 23, No. 1&2, pp. 139-146, 2002.
46. H. X. Phu and T. D. Long: Orienting Method for Obstacle Problems, Zeitschrift für Analysis und ihre Anwendungen, Vol. 21, No. 1, pp. 233-248, 2002.
45. N. N. Hai and H. X. Phu: Boundedness of Symmetrically γ-Convex Function, Acta Mathematica Vietnamica, Vol. 26, No. 3, pp. 269-277, 2001.
44. H. X. Phu: Rough Convergence in Normed Linear Spaces, Numerical Functional Analysis and Optimization, Vol. 22, No. 1&2, pp. 201-224, 2001.
43. H. X. Phu and N. D. Yen: On the Stability of Solutions to Quadratic Programming Problems, Mathematical Programming, Ser. A, Vol. 89, No. 3, pp. 385-394, 2001.
42. J. Hichert, A. Hoffmann, H. X. Phu and R. Reinhardt: A Primal-Dual Integral Method in Global Optimization, Discussiones Mathematicae - Differential Inclusions, Control and Optimization, Vol. 20, No. 2, pp. 257-278, 2000.
41. H. X. Phu and T. V. Truong: Invariant Property of Roughly Contractive Mappings, Vietnam Journal of Mathematics, Vol. 28, No. 3, pp. 275-290, 2000.
40. H. X. Phu, H. G. Bock, and S. Pickenhain: Rough Stability of Solutions to Nonconvex Optimization Problems, in Optimization, Dynamics, and Economic Analysis, Editors: E. J. Dockner, R. F. Hartl, M. Luptacik, and G. Sorger, pp. 22-35, Physica-Verlag (A Springer-Verlag Company), Heidelberg New York, 2000.
39. H. X. Phu and P. T. An: Outer γ-Convexity in Normed Linear Spaces, Vietnam Journal of Mathematics, Vol. 27, No. 4, pp. 323-334, 1999.
38. H. X. Phu and P. T. An: Stability of Generalized Convex Functions with Respect to Linear Disturbances, Optimization, Vol. 46, No. 4, pp. 381-389, 1999.
37. N. N. Hai and H. X. Phu: Symmetrically γ-Convex Functions, Optimization, Vol. 46, No. 1, pp. 1-23, 1999.
36. H. X. 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, pp. 73-85.
35. H. X. Phu, H. G. Bock and J. Schlöder: The Method of Orienting Curves and Its Application for Manipulator Trajectory Planning, Numerical Functional Analysis and Optimization, Vol. 18, No. 1&2, pp. 213-225, 1997.
34. H. X. Phu: Six Kinds of Roughly Convex Functions, Journal of Optimization Theory and Applications, Vol. 92, No. 2, pp. 357-375, 1997.
33. J. Hichert, A. Hoffmann and H. X. 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, pp. 153-170, Kluwer Academic Publishers 1997.
32. H. X. Phu and P. T. An: Stable Generalization of Convex Functions, Optimization, Vol. 38, No. 4, pp. 309-318, 1996.
31. H. X. Phu and A. Hoffmann: Essential Supremum and Supremum of Summable Functions, Numerical Functional Analysis and Optimization, Vol. 17, No. 1&2, pp. 167-180, 1996.
30. H. X. Phu and N. N. Hai: Some Analytical Properties of γ-Convex Functions on the Real Line, Journal of Optimization Theory and Applications, Vol. 91, No.3, pp. 671-694, 1996.
29. H. X. Phu, H. G. Bock and J. P. Schlöder: Extremal Solutions of Some Constrained Control Problems, Optimization, Vol. 35, No. 4, pp. 345-355, 1995.
28. H. X. Phu: Some Properties of Globally δ-Convex Functions, Optimization, Vol. 35, No. 1, pp. 23-41, 1995.
27. H. X. Phu and N. Dinh: Some Remarks on the Method of Orienting Curves, Numerical Functional Analysis and Optimization, Vol. 16, No. 5&6, pp. 755-763, 1995.
26. H. X. Phu: γ-Subdifferential and γ-Convexity of Functions on a Normed Space, Journal of Optimization Theory and Applications, Vol. 85, No. 3, pp. 649-676, 1995.
25. H. X. Phu: Representation of Bounded Convex Sets by Rational Convex Hull of Its γ-Extreme Points, Numerical Functional Analysis and Optimization, Vol. 15, No. 7&8, pp. 915-920, 1994.
24. H. X. Phu: γ-Subdifferential and γ-Convexity of Functions on the Real Line, Applied Mathematics and Optimization, Vol. 27, pp. 145-160, 1993.
23. N. Dinh and H. X. Phu: The Method of Orienting Curves and Its Application to an Optimal Control Problem of Hydroelectric Power Plants, Vietnam Journal of Mathematics (Tap chí Toán hoc), Vol. 20, No. 2, pp. 40-53, 1992.
22. N. Dinh and H. X. Phu: Solving a Class of Optimal Control Problems Which Are Linear in the Control Variable by the Method of Orienting Curves, Acta Mathematica Vietnamica, Vol. 17, No. 2, pp. 115-134, 1992.
21. N. Dinh and H. X. Phu: Solving a Class of Regular Optimal Control Problems with State Constraints by the Method of Orienting Curves, Optimization, Vol. 25, No. 2&3, pp. 231-247, 1992.
20. H. X. Phu: Method of Orienting Curves for Solving Optimal Control Problems with State Constraints, Numerical Functional Analysis and Optimization, Vol. 12, No. 1&2, pp. 173-211, 1991.
19. H. X. Phu: Investigation of a Macroeconomic Model by the Method of Region Analysis, Journal of Optimization Theory and Applications, Vol. 72, No. 2, pp. 319-332, 1992.
18. H. X. 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, pp. 309-313, B.G. Teubner Stuttgart and Kluwer Academic Publishers, the Netherlands, 1991.
17. H. X. Phu: A Solution Method for Regular Optimal Control Problems with State Constraints, Journal of Optimization Theory and Applications, Vol. 62, No. 3, pp. 489-513, 1989.
16. H. X. Phu: Optimal Control of a Hydroelectric Power Plant with Unregulated Spilling Water, Systems & Control Letters, Vol. 10, No. 1, pp. 131-139, 1988.
15. H. X. Phu: Reguläre Aufgaben der optimalen Steuerung mit linearen Zustandsrestriktionen, Zeitschrift für Analysis und ihre Anwendungen, Vol. 7, No. 5, pp. 431-440, 1988.
14. H. X. Phu: Investigation of Some Inventory Problems with Linear Replenishment Cost by the Method of Region Analysis, in Optimal Control Theory and Economic Analysis 3, Editor: G. Feichtinger, North-Holland, Amsterdam, pp. 195-221, 1988.
13. H. X. Phu: On a Linear Optimal Control Problem of a System with Circuit-Free Graph Structure, International Journal of Control, Vol. 48, No. 5, pp. 1867-1882, 1988.
12. H. X. Phu: Solution of Some High-Dimensional Linear Optimal Control Problems by the Method of Region Analysis, International Journal of Control, Vol. 47, No. 2, pp. 493-518, 1988.
11. H. X. Phu: On Optimal Control of a Hydroelectric Power Plant, Systems & Control Letters, Vol. 8, No. 3, pp. 281-288, 1987.
10. H. X. Phu: A Method for Solving a Class of Optimal Control Problems Which Are Linear in the Control Variable, Systems & Control Letters, Vol. 8, No. 3, pp. 273-280, 1987.
9. H. X. Phu: Some Necesssary Conditions for Optimality for a Class of Optimal Control Problems Which Are Linear in the Control Variable, Systems & Control Letters, Vol. 8, No. 3, pp. 261-271, 1987.
8. H. X. Phu: Ein konstruktives Lösungsverfahren für das Problem des Inpolygons kleinsten Umfangs von J. Steiner, Optimization, Vol. 18, No. 3, pp. 349-359, 1987.
7. H. X. Phu: Zur Lösung eines Zermeloschen Navigationsproblems, Optimization, Vol. 18, No. 2, pp. 225-236, 1987.
6. H. X. Phu: Zur Lösung des Knickstab-Problems mit beschränkter Ausbiegung, Zeitschrift für Analysis und ihre Anwendungen, Vol. 6, No. 4, pp. 371-384, 1987.
5. H. X. Phu: Zur Lösung einer regulären Aufgabenklasse der optimalen Steuerung im Großen mittels Orientierungskurven, Optimization, Vol. 18, No. 1, pp. 65-81, 1987.
4. H. X. Phu: Einige notwendige Optimalitätsbedingungen für einfache reguläre Aufgaben der optimalen Steuerung, Zeitschrift für Analysis und ihre Anwendungen, Vol. 5, No. 5, pp. 465-475, 1986.
3. H. X. Phu: Lösung einer eindimensionalen regulären Aufgaben der optimalen Steuerung mit engen Zustandsbereichen anhand der Methode der Bereichsanalyse, Optimization, Vol. 16, No. 3, pp. 431-438, 1985.
2. H. X. Phu: Lineare Steuerungsprobleme mit engen Zustandsbereichen, Optimization, Vol. 16, No. 2, pp. 273-284, 1985.
1. H. X. Phu: Zur Stetigkeit der Lösung der adjungierten Gleichung bei Aufgaben der optimalen Steuerung mit Zustandsbeschränkungen, Zeitschrift für Analysis und ihre Anwendungen, Vol. 3, No. 6, pp. 527-539, 1984.


Books

4. H. G. Bock, H. X. Phu, R. Rannacher, and J. P. Schlöder (Eds): Modeling, Simulation and Optimization of Complex Processes, Proceedings of the Fifth International Conference on High Performance Scientific Computing, March 5-9, 2012, Hanoi, Vietnam. Springer, Berlin Heidelberg, 2014.
3. H. G. Bock, H. X. Phu, R. Rannacher, and J. P. Schlöder (Eds): Modeling, Simulation and Optimization of Complex Processes, Proceedings of the Fourth International Conference on High Performance Scientific Computing, March 2-6, 2009, Hanoi, Vietnam. Springer, Berlin Heidelberg, 2012.
2. H. G. Bock, E. Kostina, H. X. Phu, and R. Rannacher (Eds): Modeling, Simulation and Optimization of Complex Processes, Proceedings of the Third International Conference on High Performance Scientific Computing, March 6–10, 2006, Hanoi, Vietnam. Springer, Berlin Heidelberg, 2008.
1. H. G. Bock, E. Kostina, H. X. Phu, and R. Rannacher (Eds): Modeling, Simulation and Optimization of Complex Processes, Proceedings of the Second International Conference on High Performance Scientific Computing, March 10-14, 2003, Hanoi, Vietnam. Springer, Berlin Heidelberg, 2005.


Theses

3. H. X. Phu: Methode der Bereichsanalyse und Methode der Orientierungskurven zur Lösung von Aufgaben optimaler Steuerung mit Zustandsbeschränkungen, Habilitationsschrift, Leipzig, 1987.
2. H. X. Phu: Methoden zur Lösung von Aufgaben der optimalen Steuerung mit engen Zustandsbereichen, Dissertation, Universität Leipzig, 1983.
1. H. X. Phu: Optimale Bilanzierung der Produktion am Fließband, Diplomarbeit, Universität Leipzig, 1979.




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