Ioannis Th. Famelis'
Papers and Research Work

Published Work

  1.  Equilibrium States of Adaptive Algorithms for Delay Differential Equations. ,(with Prof D. J. Higham), Journal of Computational and Applied Mathematics v58 (1995) pp151-169.

  2. A P-Stable Diagonally Implicit RKN Method., (with Prof. G. Papageorgiou and Prof Ch. Tsitouras), Numerical Algorithms v. 17 (1998), pp 345-353.

  3.  On using Explicit RKN Methods for the Treatment of Retarded Differential Equations with Periodic Solutions. , (with Prof. G. Papageorgiou), Applied Mathematics and Computation, v.102 (1999), pp 63-76.

  4.  Continuous  Runge-Kutta-Nyström Methods for Initial Value Problems with Periodic Solutions., (with Prof. G. Papageorgiou), Computer and Mathematics with Applications v. 42 (2001) pp. 1165-1176.

  5. Explicit Numerov Type Methods for second order IVPs with oscillating solutions., (with Prof. G. Papageorgiou and Prof Ch. Tsitouras), International Journal of Modern Physics C v. 12, No. 5 (2001), pp. 657-666.

  6.  Zero dissipative, explicit Numerov type methods for second order IVPs with oscillating solutions. , (with Prof. Th. Simos and Prof Ch. Tsitouras), Numerical Algorithms, v. 34 (2003) pp. 27-40.  

  7.  Symbolic Derivation of Runge-Kutta order conditions., (with Dr Ch. Tsitouras), Journal of Symbolic Computation 37 (2004) pp. 311-327.

  8. Phase-Fitted Numerov type Methods.(with A. Bratsos, A. Kollias and Ch. Tsitouras), Applied Mathematics and Computation, 184 (2007) pp. 23-29.

  9. Symbolic Derivation of Runge-Kutta-Nyström order conditions.(with Dr Ch. Tsitouras), Journal of Mathematical Chemistry  46 (2009) pp.896–912.

  10. A parametric finite-difference method for shallow sea waves, (with A. Bratsos and A. Prospathopoulos) ,  Int. J. Numer. Meth. Fluids 53 (2007), pp 129-147.

  11. Quadratic SDIRK pair for treating chemical reaction problems, (with Dr Ch. Tsitouras) MATCH-Communications in mathematical and in computer chemistry, 60 (2008), no 3, pp 697-710.

  12.  Symbolic Derivation of Order Conditions for Hybrid Numerov-type methods solving y’’ = f(x, y)(with Dr Ch. Tsitouras), J. Comput. Appl. Math.,  218 (2008), no 2 pp. 543-555.

  13. A discrete Adomian decomposition method for discrete nonlinear Schroedinger equations, (with A. Bratsos and M. Ehrhardt) ,  Appl. Mathematics and Computation, 197 (2008) , pp 190-205.

  14. Quadratic Stoermer-type methods for the solution of the Boussinesq equation by the method of lines, (with Dr Ch. Tsitouras) Num. Meth. For Partial Diff. Eqns. 24 (2008) no 5, pp 1321-1328.

  15.  Runge Kutta Methods for Fuzzy Differetial Equations (with S. Palligkinis and G. Papageorgiou)  in  Applied Mathematics and Computation, Applied Mathematics and Computation, 209 (2009), pp. 97-105.

  16. Εxplicit eighth order Νumerov-type methods with reduced number of stages for oscillatory IVPs ,  International Journal of Modern Physics C,  v. 19, No. 6 (2008).

  17. Numerical Treatment of Oscillatory Linear Initial Value Problems using Numerov-Type Methods,  International Journal of Modern Physics C, v. 20, No. 3 (2009) pp.1-16. 

  18. Numerical Solution of Stochastic Differential Equations with Additive Noise by Runge-Kutta Methods, (with F. Xanthos and G. Papageorgiou),  Journal of Numerical Analysis, Industrial and Applied Mathematics (JNAIAM) v.4, Νο. 3-4,(2009)  pp 181-190.

  19. 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.

  20. Neural Network based derivation of efficient high order Runge-Kutta-Nystrom pairs for the integration of orbits.,  International Journal of Modern Physics C, v. 22, No. 12 (2011), pp. 1309-1316.

  21. Using Neural Networks for the derivation of Runge-Kutta-Nystrom pairs for integration of orbits. (with Prof Ch. Tsitouras),  New Astronomy , 17 (2012), pp. 469-473. 

  22. Classical and Quasi-Newton methods for a Meteorological Parameters Prediction Boundary Value Problem(with Georgios Galanis, Matthias Ehrhardt and Dimitrios Triantafyllou) AMIS, v.8, No. 6  (2014), pp 2683-2693.

  23. Runge-Kutta solutions for an environmental parameter prediction boundary value problem., J. Coupled Syst. Multiscale Dyn.,  2(2) (2014), pp 62-69.

  24.  Quadratic shooting solution for an environmental parameter prediction boundary value problem., (with Prof Ch. Tsitouras),  Far East Journal of Applied Mathematics, v.91, No.2 (2015), pp.81-98.

  25. On modifications of Runge Kutta Nystrom methods for solving y(4)=f(x,y)., (with Prof Ch. Tsitouras), Applied Mathematics and Computation 273 (2016), 726–734.

  26. 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.

  27. Symbolic derivation of Runge Kutta Nystrom  type order conditions and methods for solving y(3)=f(x,y)., (with Prof Ch. Tsitouras), Applied Mathematics and Computation 297, (2017) 750–60.

  28. Phase-fitted Runge-Kutta pairs of orders 8(7) , (with Prof Ch. Tsitouras and Prof. Th. Simos), Journal of Computational and Applied Mathematics, (2017) 321, 226-231.

  29.  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.

  30. 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.

  31. A highly accurate DE-PSO algorithm for the construction of initial value problem solvers., (with A. Alexandridis and Prof Ch. Tsitouras), Engineering Optimization,(2017) https://doi.org/10.1080/0305215X.2017.1400545.

  32. A new eighth order exponentially fitted explicit Numerov-type method for solving oscillatory problems., (with Prof Ch. Tsitouras), Journal of Mathematical Chemistry, (2018)  http://link.springer.com/article/10.1007/s10910-018-0873-x.

  33. Bounds for Variable Degree Rational $L_{\infty}$ Approximations to the Matrix Exponential, (with Prof Ch. Tsitouras), Applied Mathematics and Computation 338 (2018) 376–386, https://doi.org/10.1016/j.amc.2018.06.040.

  34. 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.

  35.   Neural network solution of pantograph type differential equations , (with  Chih-Chun Hou, T. E. Simos) Math Meth Appl Sci. 2019;1‐6. https://doi.org/10.1002/mma.6126

  36. 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
  37. Parameterized  Neural Network training for the solution of a class of stiff Initial Value Systems. ,(2020)  in   Neural Computing and Applications DOI: 10.1007/s00521-020-05201-1.

 

 Papers and Announcements in Conferences

  1.  On the derivation of P-stable diagonally implicit Runge-Kutta-Nyström methods., on International Conference  on Scientific Computation  And Differential Equations, Grado, Italy (1997).

  2.  Continuous  Runge-Kutta-Nyström Methods for Initial Value Problems with Periodic Solutions., on Numerical Methods and Computational Mechanics Conference, Miskolc, Hungary (1998).

  3. Numerical Solution of Delay ODEs with Periodic Solutions., on  4th Hellenic European Conference on Computer Mathematics and its Applications (HERCMA 98), Athens (1998).

  4.  Phase-Fitted Numerov type Methods., on ICCMSE 2004, Athens (2004).

  5.  Symbolic Derivation of Two step Numerov Type methods order conditions. on 21st Biennial Conference on Numerical Analysis, Dundee Scotland (2005)

  6.  Quadrature Numerov-type methods for the solution of the Boussinesq equation by the methods of lines.on ΙMACS 2005, Paris, France (2005)

  7.  A linearized numerical scheme for the Kadomtsev-Petviashvilli equation, A. G. Bratsos, I. Th. Famelis,   in Proceedings of 1st IC – EpsMsO (1st International Conference on Experiments/Process/System  Modelling/Simulation/ Optimization), 6-9 July 2005, Athens, Greece.

  8. A solution of the Boussinesq equation using the Adomian decomposition method,  I. Th. Famelis, A. G. Bratsos, in Proceedings of 1st IC – EpsMsO (1st International Conference on Experiments/Process/System  Modelling/Simulation/ Optimization), 6-9 July 2005, Athens, Greece.

  9.  On the solution of the Boussinesq equation using the Adomian decomposition method,A. G. Bratsos, I. Th. Famelis, D. P. Papadopoulos, in: Proceedings of 17th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation, 11-15 July 2005, Paris, France, paper T2-I-21-0178.

  10. An implicit numerical method for a shallow water equation in 2+1 dimensions, A. G. Bratsos, I. Th. Famelis, K. Belibassakis,  in ICNAAM 2005 (International Conference of Numerical Analysis and Applied Mathematics), 16-20 September 2005, Rodes, Greece, Wiley-VCH (2005), pp. 103-106.

  11. On the solution of the cubic Schrödinger equation,  I. Th. Famelis, A. G. Bratsos, in ICNAAM 2005 (International Conference of Numerical Analysis and Applied Mathematics), 16-20 September 2005, Rodes, Greece, Wiley-VCH (2005), pp. 175-178.

  12.  A solution of the cubic nonlinear Schrödinger equation using the Adomian decomposition method, I. Th. Famelis, A. G. Bratsos,  in HERCMA 2005 (7ο Hellenic-European Conference on Computer Mathematics and its Applications), 22-24 September 2005, Athens, Greece

  13. On the numerical solution of the Kadomtsev-Petviashvilli equation,  A. G. Bratsos, I. Th. Famelis, in Proceedings of ICCMSE 2005 (International Conference of Computational Methods in Sciences and Engineering), 21-26 October 2005, Loutraki, Greece, Lecture Series on Computer and Computational Sciences, Vol. 4 (2005), pp. 920-923.

  14. Runge Kutta Methods for Fuzzy Differetial Equations,  S. Palligkinis, I. Th. Famelis, G. Papageorgiou, in Proceedings of ICCMSE 2005 (International Conference of Computational Methods in Sciences and Engineering), 21-26 October 2005, Loutraki, Greece, Lecture Series on Computer and Computational Sciences, Vol. 4 (2005)

  15. On the numerical solution of the one-dimensional shallow sea waves,  A. G. Bratsos, A. M. Prospathopoulos, I. Th. Famelis, in Proceedings of 5th MATHMOD (IMACS International Symposium on Mathematical Modelling), Vienna University of Technology, 8-10 February 2006, Vienna, Austria.

  16. A linearized scheme for the solution of the Boussinesq equation using the Adomian decomposition methodμε A. G. Bratsos,  in 2nd International Conference From Scientific Computing to Computational Engineering), 5-8 July 2006, Athens, Greece.

  17. On the numerical solution of the one-dimensional shallow water equations in constant-depth environment, με A. M. Prospathopoulos, S. Sarantopoulos, A. G. Bratsos,  in 2nd International Conference From Scientific Computing to Computational Engineering), 5-8 July 2006, Athens, Greece.

  18. Symbolic Derivation of order conditions and principal truncation error terms for a class of two step methods for y′′ = f(x, y) στο Twelfth International Congress on Computational And Applied Mathematics, Katholieke Universiteit Leuven, Belgium, July 10 - July 14, 2006.

  19. Order conditions of modified Runge-Kutta methods.με Χ. Τσίτουρα στο International Conference Of Numerical Analysis And Applied Mathematics 2006 Hersonnisos, Crete, Greece, 15-19 September 2006.

  20. The theta parameter influence on the Numerical Solution of various models describing one-dimensional shallow water waves, I. Th. Famelis, A. G. Bratsos,  in Proceedings of 2nd IC – EpsMsO (2nd International Conference on Experiments/ Process/ System  Modelling/ Simulation/ Optimization), 4-7 July 2007, Athens, Greece.

  21.  An explicit numerical scheme for the atmospheric pollution,  T. Papakostas, A. G. Bratsos, I. Th. Famelis, A. I. Delis and D. G. Natsis  in Proceedings of 2nd IC – EpsMsO (2nd International Conference on Experiments/ Process/ System  Modelling/ Simulation/ Optimization), 4-7 July 2007, Athens, Greece.

  22. A family of eighth order, eighth stages Explicit Numerov type methods for second order IVPs with oscillating solutionsin SciCADE 2007 International Conference on SCIentific Computation And Differential Equations 9-13 July 2007, Saint Malo, France.

  23.  A numerical scheme for an improved model of Boussinesq type equations, A. G. Bratsos, I. Th. Famelis, , in 8th International Conference on Mathematical and Numerical Aspects of Waves, University of Reading, 23-27 July 2007, England.

  24. An implicit numerical scheme for the atmospheric pollutionT. Papakostas, A. G. Bratsos, I. Th. Famelis, A. I. Delis, , in HERCMA 2007 (8th Hellenic-European Conference on Computer Mathematics and its Applications), 20-22 September 2007, Athens, Greece.

  25.  A discrete Adomian decomposition for the cubic Schrödinger equationI. Th. Famelis, M. Ehrhardt, A. G. Bratsos, , in HERCMA 2007 (8th Hellenic-European Conference on Computer Mathematics and its Applications), 20-22 September, Athens, Greece.

  26. Numerov-Type method families for second order  Linear IVPs with oscillating solutions, in  International Conference Of Numerical Analysis And Applied Mathematics 2007, 16-20 September, Corfu, Greece. AIP Conf. Proc. 936 , 195 (2007) ;  doi: 10.1063/1.2790106

  27. Νέες μέθοδοι για την εύρεση θεμελιωδών χαρακτηριστικών της αλληλεπίδρασης ατόμων και μορίων με ηλεκτρομαγνητικά πεδία.με τους Κ. Δημητρίου, Β. Κωνσταντούδης, Θ. Μερκούρης, Γ. Κομνηνός, Ι. Φαμέλης, Ζ. Αναστάση, Ν. Πιάγκος, Χ. Τσίτουρας, Θ. Σίμος, Γ. Παπαγεωργίου και Κλ. Α. Νικολαΐδης, στο ΠΥΘΑΓΟΡΑΣ, Συνέδριο για την επιστημονική έρευνα στο Εθνικό Μετσόβιο Πολυτεχνείο, 5-8 Ιουλίου 2007, Πλωμάρι Λέσβου

  28.  Linearized numerical solutions of the Bousinessq equation using method of lines and Strormer type methods for oscillatory linear problems, I. Th. Famelis , in 3rd International Conference From Scientific Computing to Computational Engineering), 5-8 July 2008, Athens, Greece.

  29.  Runge Kutta familes for Additive Noise Stochastic Differential Equations, I. Th. Famelis, Fivos Xanthos, George Papageorgiou,  in International Conference Of Numerical Analysis And Applied Mathematics 2008 Kos, Greece, 16-20 September 2008,  AIP Conf. Proc. 1048 , 182 (2008); doi: 10.1063/1.2990887

  30. On the numerical solution of Improved Boussinesq Equation by the method of lines, in International Conference Of Numerical Analysis And Applied Mathematics 2009, Rethymnon, Crete, Greece, 18-22 September 2009, AIP Conf. Proc. 1168 , 127 (2009) ; doi  10.1063/1.3241311

  31. New Runge–-Kutta–-Nystrom pairs  of order 8(6)  for the integration of orbits., in 1st Conference of EME and EEE  Conference 2009, TEI of Piraeus, Piraeus, Greece, 15-26 July  2011.

  32. On the numerical solution of a boundary value problem which rises in the prediction of meteorological parameters International Conference Of Numerical Analysis And Applied Mathematics 2012, Kos, Greece, 19-25 September 2012. AIP Conf. Proc. 1479, 2118 (2012); 10.1063/1.4756609

  33.  Classical and Quasi-Newton methods on the numerical solution of a Boundary Value Problem which rises in the prediction of meteorological parameters using finite differences.,  Seventh (7th) Workshop on Statistics Mathematics and Computations,  28 - 29 May 2013, Tomar, Portugal.

  34.  Study and development of Nystrom-type methods for integration of Hamiltonian problems, 6th Chaotic and Simulation International Conference (CHAOS 2013) June 11-14, 2013, Istanbul, Turkey.

  35. Numerical and geometric optimization techniques for environmental prediction systems, (poster) SIAM Conference on Mathematical and Computational Issues in the Geosciences Padova, Italy, 17-20 June, 2013.

  36. Τhe numerical solution of a BVP which rises in the prediction of meteorological parameters., International Conference on Scientific Computation And Differential Equations (Scicade) 2013, Valladolid, Spain, 16-20 September, 2013.

  37.  Rational L  approximations to the matrix cosine. International Conference on Scientific Computation And Differential Equations (Scicade) 2013, Valladolid, Spain, 16-20 September, 2013.

  38. Quadratic RK shooting solution for a environmental parameter prediction boundary value problem Ioannis Th. Famelis and Ch. Tsitouras, (ICCMSE 2014 Athens) AIP Conf. Proc. 1618 , 839 (2014); doi 10.1063/1.4897863

  39.  Optimization of numerical weather/wave prediction models based on information geometry and computational techniques, (ICCMSE 2014 Athens),George Galanis, Ioannis Famelis and Christina Kalogeri, AIP Conf. Proc. 1618 , 828 (2014) ; doi:  10.1063/1.4897861

  40.  Long-Term Time-Series Prediction Using Radial Basis Function Neural Networks, Alex Alexandridis, Ioannis Th. Famelis  and Charalambos Tsitouras, TAIP Conf. Proc (ICNAAM 2014 Rhodes, September 22-28/9) ; doi: 10.1063/1.4912958

  41. Differential Evolution for the derivation of Runge Kutta pairs,  Ioannis Th. Famelis and Ch. Tsitouras,  (ICNAAM 2014 Rhodes, September 22-28/9),  AIP Conference Proceedings 1648, 740004 (2015); doi: 10.1063/1.4912959

  42.  Minimax vs Pade approximation of matrix exponential for Normal and Nonnegative matrices,  Ioannis Th. Famelis and Ch. Tsitouras, (ICCMSE 2015 Athens), AIP Conference Proceedings 1702, 190013 (2015); doi: 10.1063/1.4938980

  43. A New Computational Methodology for the Optimization of  Numerical Environmental Simulations,  International Conference ‘Science in Technology’ SCinTE 2015,   November 28-29, 2015. Athens, Greece.

  44. On the modification of Differential Evolution strategy for the construction of Runge Kutta pairs., 1st  MINI CONFERENCE ON EMERGING ENGINNEERING APPLICATIONS, MCEEA ’15, November 28-29, 2015 , Halkida,  Greece.

  45. Evolutionary construction of Runge–Kutta–Nyström pairs of orders 5(4), 1st  MINI CONFERENCE ON EMERGING ENGINNEERING APPLICATIONS, MCEEA ’15, November 28-29, 2015 , Halkida,  Greece.

  46. Evolutionary Generation of high oder Runge – Kutta – Nyström type pairs for solving y, I. Th. Famelis, S. Tsitmidelis and Ch. Tsitouras, (ICNAAM 2015)  AIP Conference Proceedings 1738, 480037 (2016); doi: 10.1063/1.4952273

  47.  Particle Swarm Optimization for Complex Nonlinear Optimization Problems, Alex Alexandridis, Ioannis Th. Famelis and Charalambos Tsitouras, (ICNAAM 2015)  AIP Conference Proceedings 1738, 480120 (2016); doi: 10.1063/1.4952356

  48. New Efficient Optimizing Techniques for Kalman Filters and Numerical Weather Prediction Models, Ioannis Famelis, George Galanis,  and Aristotelis Liakatas, (ICNAAM 2015)  AIP Conference Proceedings 1738, 480031 (2016); doi: 10.1063/1.4952267.

  49. High phase-lag order Runge Kutta pairs of orders 8(7).,  Ioannis Th. Famelis and Charalambos Tsitouras (ICNAAM 2016)  AIP Conference Proceedings 1863, 560031 (2017); doi: http://dx.doi.org/10.1063/1.4992714

  50. New Phase-fitted Runge-Kutta Pairs of Orders 8(7) Charalambos Tsitouras and Ioannis Th. Famelis (ICNAAM 2017), July 2018, AIP Conference Proceedings 1978(1):470005, DOI: 10.1063/1.5044075.   

  51. Extended Precision Rational L1 Approximations to the Matrix Exponential. Charalambos Tsitouras and Ioannis Th. Famelis (ICNAAM 2018), 13-18 September 2018, Rhodes, Greece, AIP Conference Proceedings 2116, 450009 (2019); https://doi.org/10.1063/1.5114476

  52. On the Neural Network solution of stiff Initial Value problems. V. Kaloutsa and Ioannis Th. Famelis (ICNAAM 2019), 23-28 September 2019, Rhodes, Greece

Technical Reports

  1. Stability of Adaptive Algorithms for Delay Differential Equations. (με τον Prof. D. J. Higham, 1992) Numerical Analysis Report 145, Department of Mathematics and Computer Science, University of Dundee.

Symbolic Codes and Software

  1. Symbolic code and Mathematica notebook  file for two-step Numerov Type methods .

  2. Symbolic code and Mathematica notebook  file for Modified Runge-Kutta Trees and Methods.

    

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