Scientific Journals Publications and Thesis

PHD THESIS
  • Optimal control of non-linear parabolic partial differential equations; Theory and numerical analysis, National Technical University of Athens, 1994.
MSC THESIS
  • A system of Algorithms for the Mathematical Solution to the problem of natural systems oscilaltion with (n) degrees of freedom, National and Kapodistrian University of Athens, 1983 

PUBLICATIONS IN PEER REVIEWED SCIENTIFIC JOURNALS
  1. Mixed Frank-Wolfe Penalty Method with Applications to Nonconvex Optimal Control Problems, with Chryssoverghi I., Bacopoulos A., Kokkinis B., Journal of Optimization Theory and Applications (JOTA), Vol. 94, No2, pp. 311-334, 1997.
  2. Discrete Approximation of Nonconvex Hyperbolic Optimal Control Problems with State Constraints, with Chryssoverghi I., Bacopoulos A., Kokkinis B., Control & Cybernetics, Vol. 27, No. 1, pp. 29-50, 1998.
  3. Discrete Relaxed Method for Semilinear Parabolic Optimal Control Problems, with Chryssoverghi I., Kokkinis B., Control & Cybernetics, Vol. 28, No. 2, pp. 157-176, 1999.
  4. Approximate Relaxed Descent Method for Optimal Control Problems, with Chryssoverghi I., Kokkinis B., Control & Cybernetics, Vol. 30, No. 4, pp. 385-404, 2001.
  5. Approximate Gradient Projection Method with Runge-Kutta Schemes for Optimal Control Problems, with Chryssoverghi I, Kokkinis B., Comp. Optim. Appl., Vol. 29, No. 1, pp. 91-115, 2004.
  6. Discretization Methods for Nonconvex Optimal Control Problems with State Constraints, with Chryssoverghi I, Kokkinis B., J. Numer. Funct. Anal. Optim., Vol. 26, No. 3, pp. 321-348, 2005.
  7. Discretization Methods for Optimal Control Problems with State Constraints, with Chryssoverghi I, Kokkinis B., J. Comput. Appl. Math., No. 1, pp. 1-31, 2006.
  8. Classical and relaxed Optimization Methods for Optimal Control Problems, with Chryssoverghi I, Kokkinis B., Int. Math. Forum 2. No. 29-32, pp. 1477-1498, 2007.
  9. Classical and Relaxed Optimization Methods for Non-Linear Parabolic Optimal Control Problems, with I. Chryssoverghi, B. Kokkinis, Berlin: Springer, Lecture Notes In Computer Science, Lirkov, Ivan (Editor) Et. Al., Vol. 5910, p.p. 247-255, 2010 (extended version of C9).
  10. Homotopy perturbation method for solving a system of third-order boundary value problems, with Muhammad Aslam Noor, Khalida Inayat Noor, Muhammad Rafiq και Eisa Said, Int. Journal of the Physical Sciences, Vol. 6(16), PP. 4128-4133, 2011.
  11. Quartic spline method for solving second-order boundary value problems, with Eisa A. Al-Said, Muhammad A. Noor, Anwar H. Almualim and B. Kokkinis, Int. Journal of the Physical Sciences, Vol. 6(17), PP. 4208-4212, 2011.
  12. Classical and Relaxed Progressively Refining Discretization-Optimization Methods for Optimal Control Problems Defined by Ordinary Differential Equations, with I. Chryssoverghi, B. Kokkinis,  Berlin: Springer, Lecture Notes In Computer Science, Lirkov, Ivan (Editor) Et. Al., Vol. 7116, p.p. 106-114, 2012 (extended version of C10).
  13. Optimal Control of Nonlinear Elliptic PDEs – Theory and Optimization Methods, with B. Kokkinis, Berlin: Springer, Lecture Notes In Computer Science, Lirkov, Ivan, Margenov Svetozar and Wasniewski Jerzy (Editors), Vol. 8353, 2013 (extended version of C11).
  14. Air Traffic Management and Energy Efficiency: the Free Flight Concept, with Charis Ntakolia, Energy Systems, Publisher Springer Berlin Heidelberg vol. 8, no. 4 (2017), pp. 709–726, doi:10.1007/s12667-015-0165-5.
  15. A Relaxation Approach to Optimal Control of Volterra Integral Equations, European Journal of Control, vol. 42, 2018, pp. 25–31., doi:10.1016/j.ejcon.2018.02.007.
  16. A dynamic integer programming approach for free flight air traffic management (ATM) scenario with 4D-trajectories and energy efficiency aspects with Ntakolia Charis and Caceres Hernan, Optimization Letters (2019) pp. 1-22, Springer Berlin Heidelberg, https://doi.org/10.1007/s11590-019-01458-1.

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TECHNICAL REPORTS
  1. Discretization-Optimization Methods for Nonlinear Elliptic Relaxed Optimal Control Problems with State Constraints, with Chryssoverghi I, Geiser, J., Kokkinis B., Institute of Mathematics, Humboldt University, Berlin, 2006, Site: http://www.mathematik.hu-berlin.de/publ/pre/2006/P-06-04.pdf.
  2.    Discretization-Optimization Methods for Nonlinear Parabolic Relaxed Optimal Control Problems with State Constraints, with Chryssoverghi I, Geiser, J., Kokkinis B., Humboldt University, Berlin, 2006, Site: http://www.mathematik.hu-berlin.de/publ/pre/2006/P-06-07.pdf.
PUBLICATIONS IN PEER REVIEWED INTERNATIONAL SCIENTIFIC CONFERENCE PROCEEDINGS
  1. Approximation of Nonlinear Boundary Parabolic Optimal Control Problems, with Chryssoverghi I., Proceedings of the First Hellenic-European Conference on Mathematics and Informatics Hermis 92, Athens, University of Economics and Business, pp. 63-67, 1992.
  2. Approximation of Nonconvex Semilinear Hyperbolic Optimal Control Problems, with Chryssoverghi I., Kokkinis B., Proceedings of the Third Hellenic-European Conference on Mathematics and Informatics Hermis 96, Athens, University of Economics and Business, pp. 238-245, 1996.
  3. Mixed Gradient Penalty Method for Optimal Control Problems defined by Semilinear Parabolic Equations, Proceedings of 5th Hellenic-European Conference on Computer Mathematics and its Applications HERCMA 2001.
  4. Progressively Refining Discrete Methods for Constrained Optimal Control Problems, with Chryssoverghi I., Kokkinis B., 4th GRACM Congress on Computational Mechanics, Patra, 2002 (Invitation).
  5. Classical and Relaxed Discretization Methods for Semilinear Parabolic Optimal Control Problems, with Chryssoverghi I., Kokkinis B., Panhellenic Conference on Mathematical Analysis and Applications, NTUA, Athens, 2004.
  6. Discretization-Optimization Methods for Relaxed Optimal Control Problems, with Chryssoverghi I., Kokkinis B., 7th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering, Numphaio, Greece, 2005.
  7. Optimization Methods for Nonlinear Elliptic Optimal Control Problems with State Constraints, with Kokkinis B., WSEAS Transactions on Mathematics, ISSUE 11, Vol. 5, pp. 1169-1176, Lisbon Nov 2006.
  8. Optimization of Operational Plan using Decision Making analysis methods with A. Anagnostopoulou at 21st National Conference of  the Hellenic Operational Research Society (HELORS), 2009.​
  9. Classical and Relaxed Optimization Methods for Non-Linear Parabolic Optimal Control Problems, with I. Chryssoverghi, B. Kokkinis, 7th International Conference, Large-Scale Scientific Computing, LSSC 2009, Sozopol Bulgaria, June 4-8, 2009.
  10. Classical and Relaxed Progressively Refining Discretization-Optimization Methods for Optimal Control Problems Defined by Ordinary Differential Equations, with I. Chryssoverghi, B. Kokkinis, 8th International Conference, Large-Scale Scientific Computing, LSSC 2011, Sozopol Bulgaria, June 6-10, 2011.
  11. Optimal Control of Nonlinear Elliptic PDEs – Theory and Optimization Methods, with B. Kokkinis, 9th International Conference, Large-Scale Scientific Computing, LSSC 2013, Sozopol Bulgaria, June 3-7, 2013.
  12. Operational Research on Air Traffic Management (ATM) of the future, with Ntakolia C., HOBA 2014 International Conference, Hellenic Open University, Athens, March 8-9, 2014.
  13. Air Traffic Management. The Free Flight Concept, with Ntakolia C., 3rd International Symposium and 25th National Conference on Operational Research in Transportation, Energy and the Environment, Hellenic Operational Society (HELORS) and The University of Thessaly, Volos, June 26-28, 2014.
  14. Air Traffic Management Programming for minimizing energy costs with Caceres H. and Ntakolia C., 4th International Conference on Energy, Sustainability and Climate Change (ESCC), Santorini Greece, June 12-14, 2017.
  15. Evaluating the Impact of Media Key Performance Indicators on Business Key Performance Indicators with Stogiannis D., 2nd International Conference on Quantitative, Social, Biomedical and Economic Issues, ICQSBEI 2018, Athens.

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