Dr Zacharias Anastassi

Dr. Zacharias A. Anastassi received his PhD in Numerical Analysis in 2006 and his diploma in Civil Engineering in 2002. Before joining DMU in February 2018 as a Senior Lecturer in Computational Mathematics, he was an Assistant Professor at Qatar University for five and a half years and an Assistant Professor/Lecturer at various higher education institutes in Greece for six years totally.

Zacharias’s research interests include the numerical solution of initial/boundary value problems, the development and analysis of numerical algorithms, scientific computing and computational methods for the solution of real problems in physics, medicine, material science, chemistry, engineering etc., parallel algorithms and the development of software packages among others.

He has attracted funding through several research grants, has been involved in the organisation of international scientific conferences, organised symposia, co-edited special issues of international peer-reviewed journals and participated in the program committee of international conferences. He is currently deputy subject group leader of Games, Mahematics & Intelligent Systems and deputy programme leader of the Mathematics BSc.

 

Link to DORA (De Montfort Open Research Archive)

https://dora.dmu.ac.uk/browse/author?value=Anastassi,%20Zacharias

Recent Publications 

• A New Two-Step Hybrid Block Method for the FitzHugh–Nagumo Model Equation (MDPI, 2023-12-23) Rufai, Mufutau Ajani; Kosti, Athinoula A.; Anastassi, Zacharias; Carpentieri, Bruno

This paper presents an efficient two-step hybrid block method (ETHBM) to obtain an approximate solution to the FitzHugh–Nagumo problem. The considered partial differential equation model problems are semi-discretized, reducing them to equivalent ordinary differential equations using the method of lines. In order to evaluate the effectiveness of the proposed ETHBM, three numerical examples are presented and compared with the results obtained through existing methods. The results demonstrate that the proposed ETHBM produces more efficient results than some other numerical approaches in the literature.

• A Parametric Method Optimised for the Solution of the (2+1)-Dimensional Nonlinear Schrödinger Equation(MDPI, 2023-01-26) Anastassi, Zacharias; Kosti, Athinoula A.; Rufai, Mufutau Ajani

We investigate the numerical solution of the nonlinear Schrödinger equation in two spatial dimensions and one temporal dimension. We develop a parametric Runge–Kutta method with four of their coefficients considered as free parameters, and we provide the full process of constructing the method and the explicit formulas of all other coefficients. Consequently, we produce an adaptable method with four degrees of freedom, which permit further optimisation. In fact, with this methodology, we produce a family of methods, each of which can be tailored to a specific problem. We then optimise the new parametric method to obtain an optimal Runge–Kutta method that performs efficiently for the nonlinear Schrödinger equation. We perform a stability analysis, and utilise an exact dark soliton solution to measure the global error and mass error of the new method with and without the use of finite difference schemes for the spatial semi-discretisation. We also compare the efficiency of the new method and other numerical integrators, in terms of accuracy versus computational cost, revealing the superiority of the new method. The proposed methodology is general and can be applied to a variety of problems, without being limited to linear problems or problems with oscillatory/periodic solutions.

• A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems (Springer, 2023-04-18) Anastassi, Zacharias; Rufai, Mufutau Ajani; Tran, Thanh

The approximate solution to second-order Hamiltonian and stiff differential systems is obtained using an efficient hybrid Nyström method (HNM) in this manuscript. The development of the method considers three hybrid points that are selected by optimizing the local truncation errors of the main formulas. The properties of the proposed HNM are studied. An embedding-like procedure is explored and run in variable step-size mode to improve the accuracy of the HNM. The numerical integration of some second-order Hamiltonian and stiff model problems, such as the well-known Vander Pol, Fermi-Pasta-Ulam, and Duffing problems, demonstrate the improved impact of our devised error estimation and control strategy. Finally, it is essential to note that the proposed technique is efficient in terms of computational cost and maximum global errors.

• A Neural Network for Interpolating Light-Sources 

  Colreavy-Donnelly, S.; Kuhn, Stefan; Caraffini, Fabio; O'Connor, S.; Anastassi, Zacharias; Coupland, Simon (Conference)
  This study combines two novel deterministic methods with a Convolutional Neural Network to develop a machine learning method that is aware of directionality of light in images. The first method detects shadows in terrestrial ...

• Identifying Parkinson’s Disease Through the Classification of Audio Recording Data 

  Bielby, James; Kuhn, Stefan; Colreavy-Donnelly, S.; Caraffini, Fabio; O'Connor, S.; Anastassi, Zacharias (Conference)
  Developments in artificial intelligence can be leveraged to support the diagnosis of degenerative disorders, such as epilepsy and Parkinson’s disease. This study aims to provide a software solution, focused initially towards ...

• Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients 

  Kosti, Athinoula; Colreavy-Donnelly, S.; Caraffini, Fabio; Anastassi, Zacharias (Article)
  Motivated by the limited work performed on the development of computational techniques for solving the nonlinear Schrödinger equation with time-dependent coefficients, we develop a modified Runge-Kutta pair with improved ...

• Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss 

  Anastassi, Zacharias; Fotopoulos, G.; Frantzeskakis, D. J.; Horikis, T. P.; Karachalios, N. I.; Kevrekidis, P. G.; Stratis, I. G.; Vetas, K. (Article)
  We consider the asymptotic behavior of the solutions of a nonlinear Schrödinger (NLS) model incorporating linear and nonlinear gain/loss. First, we describe analytically the dynamical regimes (depending on the gain/loss ...

• Dark soliton scattering in symmetric and asymmetric double potential barriers 

  Tsitoura, F.; Anastassi, Zacharias; Marzuola, J. L.; Kevrekidis, P. G.; Frantzeskakis, D. J. (Article)
  Motivated by the recent theoretical study of (bright) soliton diode effects in systems with multiple scatterers, as well as by experimental investigations of soliton-impurity interactions, we consider some prototypical ...

• Dark solitons near potential and nonlinearity steps 

  Tsitoura, F.; Anastassi, Zacharias; Marzuola, J. L.; Kevrekidis, P. G.; Frantzeskakis, D. J. (Article)
  We study dark solitons near potential and nonlinearity steps and combinations thereof, forming rectangular barriers. This setting is relevant to the contexts of atomic Bose-Einstein condensates (where such steps can be ...

• A 6(4) optimized embedded Runge–Kutta–Nyström pair for the numerical solution of periodic problems 

  Anastassi, Zacharias; Kosti, A. A. (Article)
  In this paper an optimization of the non-FSAL embedded RKN 6(4) pair with six stages of Moawwad El-Mikkawy, El-Desouky Rahmo is presented. The new method is derived after applying phase-fitting and amplification-fitting ...

• Explicit Almost P-Stable Runge-Kutta-Nyström Methods for the Numerical Solution of the Two-Body Problem 

  Kosti, A. A.; Anastassi, Zacharias (Article)
  In this paper, three families of explicit Runge–Kutta–Nyström methods with three stages and third algebraic order are presented. Each family consists of one method with constant coefficients and one corresponding optimized ...

 

All Publications in Refereed Journals

P41.     M.A. Rufai, A.A. Kosti, Z.A. Anastassi, B. Carpentieri, A New Two-Step Hybrid Block Method for the FitzHugh–Nagumo Model Equation, Mathematics, 12, 51 (2024).

P40.     Z.A Anastassi, A.A. Kosti, M.A. Rufai, A Parametric Method Optimised for the Solution of the (2+1)-Dimensional Nonlinear Schrödinger Equation, Mathematics, 11, 609 (2023).

P39.     M.A. Rufai, T. Tran, Z.A. Anastassi, A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems, Computational and Applied Mathematics, 42, 156 (2023).

P38. A.A. Kosti, S. Colreavy-Donnelly, F. Caraffini, Z.A. Anastassi, Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients, Mathematics, 8, 374 (2020).

P37. F. Tsitoura, Z.A. Anastassi, J.L. Marzuola, P.G. Kevrekidis, and D.J. Frantzeskakis, Dark Soliton Scattering in Symmetric and Asymmetric Double Potential Barriers, Physics Letters A, 381, 31, 2514-2520 (2017).

P36. Z.A. Anastassi, G. Fotopoulos, D.J. Frantzeskakis, T.P. Horikis, N.I. Karachalios, P.G. Kevrekidis, I.G. Stratis, and K. Vetas, Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss, Physica D, 355, 24-33 (2017).

P35. F. Tsitoura, Z.A. Anastassi, J.L. Marzuola, P.G. Kevrekidis, and D.J. Frantzeskakis, Dark solitons near potential and nonlinearity steps, Physical Review A, 94, 063612 (2016).

P34. Z.A. Anastassi, A.A. Kosti, A 6(4) Optimized Embedded Runge-Kutta-Nyström Pair for the Numerical Solution of Periodic Problems, Journal of Computational and Applied Mathematics, 275, 311-320 (2015).

P33. A.A. Kosti, Z.A. Anastassi, Explicit Almost P-Stable Runge-Kutta-Nyström Methods for the Numerical Solution of the Two-Body Problem, Computational and Applied Mathematics, 34, 2, 647-659 (2015).

P32. G.A. Panopoulos, Z.A. Anastassi, T.E. Simos, A New Eight-Step Symmetric Embedded Predictor-Corrector Method (EPCM) for Orbital Problems and Related IVPs with Oscillatory Solutions, The Astronomical Journal, 145, 75 (2013).

P31. Z.A. Anastassi, T.E. Simos, A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems, Journal of Computational and Applied Mathematics, 236, 16, 3880-3889 (2012).

P30. I. Alolyan, Z.A. Anastassi, T.E. Simos, A New Family of Symmetric Linear Four-Step Methods for the Efficient Integration of the Schrödinger Equation and Related Oscillatory Problems, Applied Mathematics and Computation, 218, 9, 5370-5382 (2012).

P29. A.A. Kosti, Z.A. Anastassi, T.E. Simos, An optimized explicit Runge-Kutta-Nyström method for the numerical solution of orbital and related periodical initial value problems, Computer Physics Communications, 183, 3, 470-479 (2011).

P28. A.A. Kosti, Z.A. Anastassi, T.E. Simos, Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems, Computers and Mathematics with Applications, 61, 11, 3381-3390 (2011).

P27. G.A. Panopoulos, Z.A. Anastassi, T. E. Simos, A Symmetric Eight-Step Predictor-Corrector Method for the Numerical Solution of the Radial Schrödinger Equation and related IVPs with oscillating solutions, Computer Physics Communications, 182, 8, 1626-1637 (2011).

P26. Z.A. Anastassi, A new symmetric linear eight-step method with fifth trigonometric order for the efficient integration of the Schrödinger equation, Applied Mathematics Letters, 24, 8, 1468-1472 (2011).

P25. G.A. Panopoulos, Z.A. Anastassi, T. E. Simos, A New Symmetric Eight-Step Predictor-Corrector Method for the Numerical Solution of the Radial Schrödinger Equation and Related Orbital Problems, International Journal of Modern Physics C, 22, 2, 133-153 (2011).

P24. D.F. Papadopoulos, Z.A. Anastassi, T.E. Simos, An optimized Runge-Kutta-Nyström method for the numerical solution of the Schrödinger equation and related problems, MATCH Commun. Math. Comput. Chem., 64, 2, 551-566 (2010).

P23. D.F. Papadopoulos, Z.A. Anastassi, T.E. Simos, A modified phase-fitted and amplification-fitted Runge-Kutta-Nyström method for the numerical solution of the radial Schrödinger equation, Journal of Molecular Modeling, 16, 8, 1339-1346 (2010).

P22. A.A. Kosti, Z.A. Anastassi, T.E. Simos, An optimized explicit Runge-Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation and related problems, Journal of Mathematical Chemistry, 47, 1, 315-330 (2010).

P21. Z.A. Anastassi and T.E. Simos: Numerical Multistep Methods for the Efficient Solution of Quantum Mechanics and Related Problems, Physics Reports, vol. 482-483, pp. 1-240 (2009).

P20. D.F. Papadopoulos, Z.A. Anastassi, T.E. Simos, A Phase-Fitted Runge-Kutta-Nyström method for the Numerical Solution of Initial Value Problems with Oscillating Solutions, Computer Physics Communications, 180, 10, 1839-1846 (2009).

P19. D.S. Vlachos, Z.A. Anastassi, T.E. Simos, High order phase fitted multistep integrators for the Schrödinger equation with improved frequency tolerance, Journal of Mathematical Chemistry, 46, 4, 1009-1049 (2009).

P18. D.S. Vlachos, Z.A. Anastassi, T.E. Simos, High order multistep methods with improved phase-lag characteristics for the integration of the Schrödinger equation, Journal of Mathematical Chemistry, 46, 2, 692-725 (2009).

P17. Z.A. Anastassi, D.S. Vlachos, T. E. Simos, A new methodology for the construction of numerical methods for the approximate solution of the Schrödinger equation, Journal of Mathematical Chemistry, 46, 2, 652-691 (2009).

P16. Z.A. Anastassi, D.S. Vlachos, T. E. Simos, A new methodology for the development of numerical methods for the numerical solution of the Schrödinger equation, Journal of Mathematical Chemistry, 46, 2, 621-651 (2009).

P15. D.S. Vlachos, Z.A. Anastassi, T.E. Simos, A New Family of Multistep Methods with Improved Phase Lag Characteristics for the Integration of Orbital Problems, The Astronomical Journal, 138, 86-94 (2009).

P14. G.A. Panopoulos, Z.A. Anastassi, T. E. Simos, Two optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutions, Journal of Mathematical Chemistry, 46, 2, 604-620 (2009).

P13. Z.A. Anastassi, D.S. Vlachos, T. E. Simos, A family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problems, Journal of Mathematical Chemistry, 46, 4, 1158-1171 (2009).

P12. Z.A. Anastassi and T.E. Simos: A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solution, Journal of Mathematical Chemistry, 45, 4, 1102-1129 (2009).

P11. Z.A. Anastassi and T.E. Simos: A Six-Step P-stable Trigonometrically-Fitted Method for the Numerical Integration of the Radial Schrödinger Equation, MATCH Commun. Math. Comput. Chem., 60, 3, 803-830 (2008).

P10. G.A. Panopoulos, Z.A. Anastassi and T.E. Simos: Two New Optimized Eight-Step Symmetric Methods for the Efficient Solution of the Schrödinger Equation and Related Problems, MATCH Commun. Math. Comput. Chem., 60, 3, 773-785 (2008).

P9. T.V. Triantafyllidis, Z.A. Anastassi and T.E. Simos: Two Optimized Runge-Kutta Methods for the Solution of the Schrödinger Equation, MATCH Commun. Math. Comput. Chem., 60, 3, 753-771 (2008).

P8. Z.A. Anastassi and T.E. Simos: New Trigonometrically Fitted Six-Step Symmetric Methods for the Efficient Solution of the Schrödinger Equation, MATCH Commun. Math. Comput. Chem., 60, 3, 733-752 (2008).

P7. Z.A. Anastassi and T.E. Simos: A Family of Exponentially-Fitted Runge-Kutta Methods with Exponential Order up to Three for the Numerical Solution of the Schrödinger Equation, Journal of Mathematical Chemistry, 41, 1, 79-100 (2007).

P6. Z.A. Anastassi and T.E. Simos: A Trigonometrically-Fitted Runge-Kutta Method for the Numerical Solution of Orbital Problems, New Astronomy, 10, 301-309 (2005).

P5. Z.A. Anastassi and T.E. Simos: Trigonometrically Fitted Fifth Order Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation, Mathematical and Computer Modelling, 42 (7-8), 877-886 (2005).

P4. Z.A. Anastassi and T.E. Simos: Trigonometrically Fitted Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation, Journal of Mathematical Chemistry, 37, 3, 281-293 (2005).

P3. Z.A. Anastassi and T.E. Simos: A Dispersive-Fitted and Dissipative-Fitted Explicit Runge-Kutta method for the Numerical Solution of Orbital Problems, New Astronomy, 10, 31-37 (2004).

P2. Z.A. Anastassi and T.E. Simos: An Optimized Runge-Kutta method for the Solution of Orbital Problems, Journal of Computational and Applied Mathematics, 175, 1-9 (2005).

P1. Z.A. Anastassi and T.E. Simos: Special Optimized Runge-Kutta methods for IVPs with Oscillating Solutions, International Journal of Modern Physics C, 15, 1-15 (2004).

Abstracts in Conference Proceedings

C37.     Z.A. Anastassi, Finite difference methods for the solution of the Schrödinger equation and related periodic problems, 3rd International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2022), Bucharest, Romania, 4-7 July 2022.

C36.     S. Colreavy-Donnelly, S. Kuhn, F. Caraffini, S. O'Connor, Z. Anastassi, S. Coupland,  A Neural Network for Interpolating Light-Sources, 4th IEEE International Workshop on Software Engineering for Smart Systems - IEEE Computer Society Signature Conference on Computers, Software and Applications (COMPSAC), Madrid, Spain, July 2020.

C35.     J. Bielby, S. Kuhn, S. Colreavy-Donnelly, F. Caraffini, S. O'Connor, Z.A. Anastassi, Identifying Parkinson's Disease Through the Classification of Audio Recording Data, IEEE World Congress on Computational Intelligence (IEEE WCCI), Glasgow, UK, July 2020.

C34.     Z.A. Anastassi, G. Fotopoulos, D.J. Frantzeskakis, T.P. Horikis, N.I. Karachalios, P.G. Kevrekidis, I.G. Stratis, and K. Vetas, Numerical simulations of a nonlinear Schrödinger model with gain and loss, The 27th Biennial Numerical Analysis Conference 2017 (NANCONF 2017).

C33.     Z.A. Anastassi, Fitted Linear Multistep Methods for the Solution of Periodic Differential Equations, Computational Techniques and Applications Conference (CTAC 2016).

C32.     F. Tsitoura, Z. A. Anastassi, J. L. Marzuola, P. G. Kevrekidis, and D. J. Frantzeskakis, Computation of Dark Solitons near Potential and Nonlinearity Steps, Global Conference on Applied Physics & Mathematics 2016.

C31.     Z.A. Anastassi, A.A. Kosti, A family of optimized symmetric linear multistep methods for the numerical solution of differential equations, 3rd ECCOMAS Young Investigators Conference (YIC 2015).

C30.     Z.A. Anastassi, A.A. Kosti, A new Runge-Kutta-Nyström pair for the numerical solution of periodic initial value problems, 14th International Conference Computational and Mathematical Methods in Science and Engineering, (CMMSE 2014).

C29.     A.A. Kosti, Z.A. Anastassi, T.E. Simos, A Fitted Runge-Kutta-Nyström Method with Fifth Order for the Integration of the Two-Body Problem, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2011, Conference Proceedings, 1389, 1597-1600, included in Thomson ISI Proceedings.

C28.     Z.A. Anastassi, T.E. Simos, Some Symmetric Linear Four-Step Methods for the Numerical Solution of Oscillatory Initial Value Problems, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2011, AIP Conference Proceedings, 1389, 1601-1604, included in Thomson ISI Proceedings.

C27.     Z.A. Anastassi, Symposium on the Numerical Solution of Differential Equations and their Applications, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2011, AIP Conference Proceedings.

C26.     G.A. Panopoulos, Z.A. Anastassi, T.E. Simos, Optimized Explicit Symmetric Linear Multistep Methods for the Numerical Solution of the Schrödinger Equation and Related Orbital Problems, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2009), AIP Conference Proceedings, 1504, 1344-1347, included in Thomson ISI Proceedings.

C25.     A.A. Kosti, Z.A. Anastassi, T.E. Simos, The development of an explicit Runge-Kutta-Nyström method with infinite order of phase-lag, dissipation error and the first derivative of dissipation error for the integration of the Two-Body Problem, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2010, AIP Conference Proceedings.

C24.     A.A. Kosti, Z.A. Anastassi, T.E. Simos, The integration of the Two-Body Problem by using a new optimized explicit Runge-Kutta-Nyström method with infinite order of phase-lag, amplification factor and the first derivative of the phase-lag, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2010, AIP Conference Proceedings.

C23.     A.A. Kosti, Z.A. Anastassi, T.E. Simos, Construction of an optimized Runge- Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2009), AIP Conference Proceedings, 1504, 1182-1184 (2012) included in Thomson ISI Proceedings.

C22.     A.A. Kosti, Z.A. Anastassi, T.E. Simos, Construction of an explicit Runge-Kutta-Nyström method with constant coefficients and of a phase-fitted and amplification-fitted explicit Runge-Kutta- Nyström method for the numerical solution of the Schrödinger equation, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2009), AIP Conference Proceedings, 1504, 1185-1187, included in Thomson ISI Proceedings.

C21.     A.A. Anastassi, Z.A. Anastassi and T.E. Simos, Analysis of a Runge-Kutta Method Developed with Artificial Neural Networks, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2010, AIP Conference Proceedings.

C20.     N.G. Tselios, Z.A. Anastassi and T.E. Simos, Optimized Three-Stage Implicit Runge-Kutta Methods for the Numerical Solution of Problems with Oscillatory Solutions, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2010, AIP Conference Proceedings, 1281, 2252-2255 (2010), included in Thomson ISI Proceedings.

C19.     N.G. Tselios, Z.A. Anastassi and T.E. Simos, Optimized Two-Stage Implicit Runge-Kutta Methods for the Numerical Solution of Problems with Oscillatory Solutions, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2010, AIP Conference Proceedings, 1281, 2248-2251 (2010), included in Thomson ISI Proceedings.

C18.     Z.A. Anastassi and T.E. Simos, A Family of Symmetric Linear Multistep Methods for the Numerical Solution of the Schrödinger Equation and Related Problems, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2010, AIP Conference Proceedings, 1281, 1843-1845 (2010), included in Thomson ISI Proceedings.

C17.     D.F. Papadopoulos, Z.A. Anastassi and T.E. Simos, The Use of Phase-Lag and Amplification Error Integrators for the Numerical Solution of the Radial Schrödinger Equation, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2010, AIP Conference Proceedings, 1281, 1839-1842 (2010), included in Thomson ISI Proceedings.

C16.     Z.A. Anastassi, Symposium on the Numerical Solution of Differential Equations and their Applications, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2010, AIP Conference Proceedings, 1281, 1820-1820 (2010), included in Thomson ISI Proceedings.

C15.     Z.A. Anastassi and T.E. Simos, Linear Multistep Methods for the Efficient Integration of the Schrödinger Equation, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2009, AIP Conference Proceedings, 1168, 1608-1611 (2009), included in Thomson ISI Proceedings.

C14.     D.F. Papadopoulos, Z.A. Anastassi and T.E. Simos, A Zero Dispersion RKN Method for the Numerical Integration of Initial Value Problems with Oscillating Solutions, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2009, AIP Conference Proceedings, 1168, 550-553, (2009), included in Thomson ISI Proceedings.

C13.     D.F. Papadopoulos, Z.A. Anastassi and T.E. Simos, A Modified Zero Dispersion and Zero Dissipation RKN Method for the Numerical Solution of the Radial Schrödinger Equation, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2009, AIP Conference Proceedings, 1168, 1604-1607 (2009), included in Thomson ISI Proceedings.

C12.     D.F. Papadopoulos, Z.A. Anastassi and T.E. Simos, The Use of Phase-Lag and Amplification Error Derivatives in the Numerical Integration of ODEs with Oscillating Solutions, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2009, AIP Conference Proceedings, 1168, 547-549 (2009), included in Thomson ISI Proceedings.

C11.     Z.A. Anastassi, Symposium on the Numerical Solution of Differential Equations and their Applications, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2009, AIP Conference Proceedings, 1168, 1581-1581 (2009).

C10.     Z.A. Anastassi, D.S. Vlachos and T.E. Simos, The Use of Phase-Lag Derivatives in the Numerical Integration of ODEs with Oscillating Solutions, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2008, AIP Conference Proceedings, 1048, 1020-1025 (2008), included in Thomson ISI Proceedings.

C9.  Z.A. Anastassi, Symposium on the Numerical Solution of Differential Equations and their Applications, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2008, AIP Conference Proceedings, 1048, 1001-1001 (2008).

C8.  Z.A. Anastassi and T.E. Simos: A Family of Numerical Methods for the Efficient Solution of the Schrödinger Equation and Related Problems, Meeting “Gene around the World”.

C7.  Z.A. Anastassi, D.S. Vlachos and T.E. Simos: Construction of General Linear Methods with Parallel Stages, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE) 2006, 132-136, VSP Brill, included in Thomson ISI Proceedings.

C6.  Z.A. Anastassi and T.E. Simos: A Trigonometrically-Fitted P-Stable Multistep Method for the Numerical Integration of the N-Body Problem, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE) 2006, 455-457, VSP Brill, included in Thomson ISI Proceedings.

C5.  Z.A. Anastassi and T.E. Simos: A Dispersive-Fitted and Dissipative-Fitted Runge-Kutta Method for IVPs with Oscillating Solutions, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2005, 866-868, Wiley-VC.

C4.  Z.A. Anastassi and T.E. Simos: A Trigonometrically Fitted Runge-Kutta Pair of Orders Four and Five for the Numerical Solution of the Schrödinger Equation, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE) 2004, VSP Brill, 535-538.

C3.  Z.A. Anastassi and T.E. Simos: Trigonometrically Fitted Runge-Kutta Methods of Order Five for the Numerical Solution of the Schrödinger Equation, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE) 2004, 33-36, VSP Brill.

C2.  Z.A. Anastassi and T.E. Simos: Trigonometrically-Fitted Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2004, Wiley-VCH, 21-23, included in Thomson ISI Proceedings.

C1.  Z.A. Anastassi and T.E. Simos: A family of Optimized Runge-Kutta methods with five stages and fourth order for IVPs with Oscillating Solutions, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE) 2003, World Scientific, 22-23.

Numerical analysis, Numerical solution of initial/boundary value problems, Development and analysis of numerical algorithms.

Scientific computing, Computational methods for the solution of real problems in physics, medicine, engineering, material science, chemistry, etc.

Optimisation, Evolutionary Computation, Machine Learning, Parallel algorithms.

Numerical Analysis, Applied Mathematics, Evolutionary Computing, Nonlinear Dynamic Systems, Linear Algebra, Calculus, Linear Programming, Nonlinear Programming, Operational Research, Parallel Algorithms, Statistics, Business Mathematics

Ph.D. in Numerical Analysis

Diploma in Civil Engineering

Numerical Methods
Evolutionary Computing
Nonlinear Optimisation
Nonlinear Dynamic Systems

Young Scientists Prize on Numerical Analysis and Applied Mathematics awarded by the Scientific Committee of the International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece (Sep 2005).

Ericsson Award of Excellence in Telecommunications, Athens, Greece (Jun 2005).

• The 27th Biennial Numerical Analysis Conference 2017 (NANCONF 2017), 27 to 30 June 2017, University of Strathclyde, Glasgow, Scotland, UK.
• Computational Techniques and Applications Conference (CTAC 2016), November 27-30, 2016, Melbourne, Australia.
• Global Conference on Applied Physics & Mathematics 2016, July 25-27, 2016, Rome, Italy.
• 3rd ECCOMAS Young Investigators Conference (YIC) – 6th GACM Colloquium on Computational Mechanics, July 20-23, 2015, Aachen, Germany.
• 3rd Aachen Conference on Computational Engineering Science (AC.CES), July 23-24, 2015, Aachen, Germany.
• International Conference Computational and Mathematical Methods in Science and Engineering (CMMSE) 2014, July 3-7, 2014, Rota, Cadiz, Spain.
• International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, Greece.
• International Conference of Computational Methods in Sciences and Engineering (ICCMSE) 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, Greece.
• International Electronic Conference on Computer Science (IeCCS) 2005, 2006, 2007, 2008, Greece.

• Gene around the World 2008, Tripolis, Greece.

• Lead Principal Investigator: NPRP9-329-1-067, “Split-ring resonator based nonlinear metamaterials: from few to many, theory and experiments”, funded by Qatar National Research Fund (2016 – 2019, Budget: ­$763,000).
• Co-Lead Principal Investigator: NPRP8-764-1-160, “Rogue Waves: From Oceans to Microwaves and Light”, funded by Qatar National Research Fund (2016 – 2019, Budget: $810,000).

Editorial Boards Memberships

 

• Editorial Board Member of Mathematics, MDPI (2020 – today)
• Editorial Board Member of Axioms, MDPI (2021 – today)
• Editorial Board Member of Foundations, MDPI (2021 – today)
• Editor of The Scientific World Journal, Hindawi (2013 - 2016)
• Editor of Journal of Theoretical Chemistry, Hindawi (2012 - 2017)
• Associate Editor of Applied Mathematics and Computation, Elsevier (2010 - 2013)

 

 

Invited Talks

• • • Invited Plenary Speaker for the 3rd International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2022), Bucharest, Romania, 4-7 July 2022.

• Member of the Program Committee of the annual conference “Computer Aspects of Numerical Algorithms” - CANA (2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021)
• Member of the Program Committee of the conference “International Conference of Numerical Analysis and Applied Mathematics” - ICNAAM (2011, 2012)

Reviewer for International Journals

1.             Communications in Nonlinear Science and Numerical Simulation, Elsevier

2.             Journal of Computational and Applied Mathematics, Elsevier

3.             Computation, MDPI

4.             European Physical Journal Plus, Springer

5.             Engineering Optimization, Taylor & Francis

6.             Hacettepe Journal of Mathematic​s and Statistics, Hacettepe University

7.             Computer Physics Communications, Elsevier

8.             International Journal of Modern Physics C, World Scientific

9.             Applied Mathematics and Computation, Elsevier

10.         Computers and Mathematics with Applications, Elsevier

11.         Mathematical Methods in the Applied Sciences, Wiley

12.         International Journal of Differential Equations, Hindawi

13.         Journal of Applied Mathematics, Hindawi

14.         Abstract and Applied Analysis, Hindawi

15.         Discrete Dynamics in Nature and Society, Hindawi

16.         Journal of Computational Methods in Sciences and Engineering, IOS Press

17.         Computing Letters, Brill

18.         Journal of Numerical Analysis, Industrial and Applied Mathematics

Reviewer for Special Issues of International Journals

1.             Communications in Mathematical and in Computer Chemistry (MATCH), 60, 3, A Special Section "Numerical Methods in Chemistry" edited by Theodore E. Simos and Charalampos Tsitouras (2008)

2.             Mathematical Methods in Applied Sciences, 30, 14, 1609 - 1854, “Approximation, stability and error analysis”, edited by Klaus Gürlebeck and Theodore Simos (2007)

3.             Communications in Mathematical and in Computer Chemistry (MATCH), 53, 2, “Papers presented on the International Conference on Computational Methods in Sciences and Engineering 2003” (2005)

Reviewer for International Conferences

1.             Computer Aspects of Numerical Algorithms (CANA) 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021.

2.             International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011.

3.             International Conference of Computational Methods in Sciences and Engineering (ICCMSE) 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011.

4.             International electronic Conference on Computer Science (IeCCS) 2005, 2006, 2007, 2008.

See Zacharias Anastassi's full CV.