Office:  A105, Building A, Αncient Οlive-grove Campus Work phone: +30 210 5381245 Lab: Lab phone: Fax: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. WebPage: http://users.uniwa.gr/ifamelis/ Office hours: Tuesday 11:00 - 13:00 and Thursday 13:00 - 15:00

 

Discipline: Applied Mathematics with emphasis in the use of mathematical symbolic computer environments.
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Studies

1991 B.Sc. in Mathematics, University of Athens

1992 M.Sc. in Numerical Analysis and Programming, University of Dundee

1998 Ph.D. in Computational Mathematics, Numerical Analysis of Differential Equations, Dep. of Mathematics,
         National Technical University of Athens

2000 Postdoctoral Research in Numerical Analysis, Dep. of Mathematics, SAMPS, National Technical University of
         Athens.Supported by one year postdoctoral  scholarship from IKY (Greek State Scholarship Foundation)

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Research Interests

Scientific Computing, Numerical Analysis, Numerical Solution Differential Equations (ODEs,  IVPs, BVPs, DDEs, PDEs, Fuzzy DEs, Stochastic DEs), Symbolic Computations, Application of Computational Intelligence methods to computational problems, Application of Mathematical Software in teaching Mathematics.

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Representative Publications

1. «EquilibriumStates of Adaptive Algorithms for Delay Differential Equations.» (με τον Prof. D. J. Higham), Journal of Computational and Applied Mathematics, v. 58 (1995), pp 151-169.
2. «Continuous  Runge-Kutta-Nyström Methods for Initial Value Problems with Periodic Solutions.»(με  Γ. Παπαγεωργίου). Computer and Mathematics with Applications v. 42 (2001) pp. 1165-1176.
3. «Symbolic Derivation of Runge-Kutta order conditions.»(με Χ. Τσίτουρα και Σ. Παπακώστα), Journal of Symbolic Computation 37 (2004), pp 311-327.
4. «A parametric finite-difference method for shallow sea waves,(με Α. Μπράτσο και Α. Προσπαθόπουλο) ,  J. Numer. Meth. Fluids 53 (2007), pp129-147.
5. «A discrete Adomian decomposition method for discrete nonlinear Schroedinger equations»,(με Α. Μπράτσο και M. Ehrhardt) ,  Mathematics and Computation 197 (2008) , pp 190-205.
6. «Runge Kutta Methods for Fuzzy Differetial Equations» (με Σ. Παλλιγκίνη  και Γ. Παπαγεωργίου), Applied Mathematics and Computation, 209 (2009), pp. 97-105.
7. «Numerical Solution of Stochastic Differential Equations with Additive Noise by Runge-Kutta Methods»(με  Ξανθό Φοίβο και Γ. Παπαγεωργίου), Journal of Numerical Analysis, Industrial and Applied Mathematics (JNAIAM) v.4, Νο. 3-4,(2009)  pp 171-180.
8. «On Modified Runge-Kutta Trees and Methods»,(with Prof Ch. Tsitouras and Prof. Th. Simos), Computers and Mathematics with Applications v. 62 (2011) pp. 2101–2111.
9. «Using neural networks for the derivation of Runge–Kutta–Nystrοm pairs for integration of orbits», (with Prof Ch. Tsitouras) New Astronomy 17 (2012), pp. 469-473.
10. «A new Kalman Filter based on Information Geometry techniques for optimizing numerical environmental simulations»(with G. Galanis, A. Liakatas) Stochastic Environmental Research and Risk Assessment, (2016) DOI 10.1007/s00477-016-1332-5.
11. «A new approach to the construction of DIMSIMs of high order and stage order»,(with  Prof. Z. Jackiewicz),  Applied Numerical Mathematics 119 (2017) pp. 79-93.
12. «Review on explicit numerov type methods with constant coefficients.»  (with Prof Ch. Tsitouras and Prof. Th. Simos),  Applied and Computational Mathematics  16(2)  (2017) pp.89-113.
13. «A highly accurate DE-PSO algorithm for the construction of initial value problem solvers.», (with A. Alexandridis and Prof Ch. Tsitouras), Engineering Optimization, https://doi.org/10.1080/0305215X.2017.1400545.
14. «Bounds for Variable Degree Rational $L_{\infty}$ Approximations to the Matrix Exponential», (with Prof Ch. Tsitouras), Applied Mathematics and Computation 338 (2018) 376–386
15. «Design and Evaluation of a Multidirectional Thermal Flow Sensor on Flexible Substrate», (with Dimitris Barmpakos, Anastasios Moschos, Damianos Marinatos and Grigoris Kaltsas), (2019) Journal of Sensors, Volume 2019, Article ID 8476489, 10 pages, https://doi.org/10.1155/2019/8476489.
16. « Neural network solution of pantograph type differential equations », (with Chih-Chun Hou, T. E. Simos) Math Meth Appl Sci. 2019;1‐ https://doi.org/10.1002/mma.6126
17. «Neural Network Solution of Single-Delay Differential Equations» (with Jie Fang, Chenglian Liu, T. E. Simos) February 2020, Mediterranean Journal of Mathematics 17(1), DOI: 10.1007/s00009-019-1452-5
18. «Parameterized  Neural Network training for the solution of a class of stiff Initial Value Systems. », in Neural Computing and Applications DOI: 10.1007/s00521-020-05201-1.

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Undergratuate Courses

Linear Algebra

Probability Theory and Statistics

Discrete Mathematics

Numerical Analysis

Systems Optimization

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Postgratuate Courses

Scientific Computations and Mathematical Modelling

Research methodology and Technical Writting

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Curriculum Vitae