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Dr Zacharias Anastassi is Associate Professor / Reader in Computational Mathematics at ÔÂÎèÖ±²¥, and a member of the Digital Future Institute. His research develops and analyses numerical methods for differential equations, with a particular focus on the design of high-accuracy integrators for problems with oscillatory or periodic solutions, and on the use of evolutionary computation and machine learning to optimise them. This work spans applications in quantum physics, astronomy, engineering and medical imaging.

He has published over forty papers in international journals, including three Highly Cited Papers in Essential Science Indicators and a 240-page review in Physics Reports. He serves on the editorial boards of three MDPI journals and has reviewed for the EPSRC since 2024. He has held two large research grants from the Qatar National Research Fund as Principal Investigator and Co-Lead Principal Investigator.

He joined ÔÂÎèÖ±²¥ in 2018, having previously been an Assistant Professor at Qatar University and held visiting positions in Greece. He received his PhD in Numerical Analysis in 2006 and his diploma in Civil Engineering in 2002.

He is able to act as first supervisor for doctoral projects; see Research interests/expertise below for current supervision and how to enquire. 

 profile

Selected publications

• • Z.A. Anastassi, , Mathematics, 13, 2796 (2025).
  • M.A. Rufai, T. Tran, Z.A. Anastassi, , Computational and Applied Mathematics, 42, 156 (2023).
  • Z.A. Anastassi, A.A. Kosti, M.A. Rufai, , Mathematics, 11, 609 (2023).
  • Z.A. Anastassi, G. Fotopoulos, D.J. Frantzeskakis, T.P. Horikis, N.I. Karachalios, P.G. Kevrekidis, I.G. Stratis, K. Vetas, , Physica D, 355, 24-33 (2017).
  • F. Tsitoura, Z.A. Anastassi, J.L. Marzuola, P.G. Kevrekidis, D.J. Frantzeskakis, , Physical Review A, 94, 063612 (2016).
  • Z.A. Anastassi, A.A. Kosti, , Journal of Computational and Applied Mathematics, 275, 311-320 (2015).
  • Z.A. Anastassi, T.E. Simos, , Physics Reports, 482-483, 1-240 (2009).

 Journal publications

• • P42.     Z.A. Anastassi, Evolutionary Optimisation of Runge-Kutta Methods for Oscillatory Problems, Mathematics, 13, 2796 (2025).
  • 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).

Conference publications

• • C38.     Enobun, A.E., Anakwenze, U.H., Taherkhani, A., Anastassi, Z., Caraffini, F., Eshkiki, H., Segmenting Breast Ultrasound Scans Using a Generative Adversarial Network Embedding U-Net, Artificial Intelligence in Healthcare. AIiH 2024. Lecture Notes in Computer Science, vol 14976. Springer, Cham., August 2024.
  • 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.

Research interests

• • 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.

PhD supervision

I welcome enquiries from prospective PhD students in numerical analysis, scientific computing, computational optimisation and machine learning. My current work centres on the design and optimisation of numerical methods for differential equations, evolutionary computation and machine learning, and their application to problems in the physical sciences, engineering and medicine. I am able to act as first supervisor for projects in these areas. Proposals in adjacent areas are welcome, particularly strong applied ideas of your own.

I do not currently hold a funded studentship. Enquiries are welcome from self-funded candidates, from candidates with sponsorship from a government or employer, and from candidates intending to apply for external or competitive funding. Information on fees and applications is available from the ÔÂÎèÖ±²¥ Doctoral College.

Please email me with a CV and a short outline of your proposed research.

Current and recent doctoral students

• • Uche Anakwenze, PhD student, second supervisor with Dr Aboozar Taherkhani (2022 to present, ÔÂÎèÖ±²¥). Thesis on deep neural network pruning and compression for brain tumour MRI segmentation, with FPGA deployment.
  • Chikwesiri Nwigwe, PhD student, third supervisor with Dr Hossein Malekmohamadi and Professor Shengxiang Yang (2026 to present, ÔÂÎèÖ±²¥). Research on an explainable artificial intelligence framework for weather impact analysis in UK aviation.
  • Nnenne Mbam, PhD student, member of the supervisory team with Dr Hossein Malekmohamadi and Dr Xin Lu (2026 to present, ÔÂÎèÖ±²¥). Research on adaptive AI-assisted learning systems, investigating personalised feedback and skill development using reinforcement learning and human-computer interaction methods.

Post-doctoral researchers and research associates 

• • Jonathan Atiene, research assistant (ÔÂÎèÖ±²¥), on loss function-based pruning for efficient brain tumour segmentation, funded by a ÔÂÎèÖ±²¥ research award (2025  - 2026).
  • Vasilios Koukouloyannis, post-doctoral fellow (Qatar University), on nonlinear metamaterials based on split-ring resonators, funded by NPRP9-329-1-067.
  • Georgios Fotopoulos, post-doctoral fellow (Qatar University), on nonlinear Schrödinger models with gain and loss, funded by NPRP8-764-1-160.
  • Konstantinos Vetas, research associate (Qatar University), on rogue waves in optical and microwave systems, funded by NPRP8-764-1-160.
  • Fotini Tsitoura, research associate (Qatar University), on the numerical study of dark solitons near potential and nonlinearity steps, funded by QUUG-CAS-DMSP-13/14-7.

• • Numerical analysis and numerical methods
  • Applied mathematics and calculus
  • Linear algebra
  • Evolutionary computing and fuzzy logic
  • Statistics and business mathematics
  • Linear and nonlinear programming
  • Operational research
  • Nonlinear dynamic systems
  • Parallel algorithms

• • Fuzzy Logic and Evolutionary Computing, MSc Artificial Intelligence (level 7)
  • Operational Research, BSc Business Data Analytics (level 5)

• • 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).

• Project Lead: "Loss Function-Based Pruning for Efficient Brain Tumour Segmentation", funded by ÔÂÎèÖ±²¥ (2025 – 2026).
• Lead Principal Investigator: Internal Grant QUUG-CAS-DMSP-13/14-7, "Numerical Methods for the Solution of the Schrödinger Equation", funded by Qatar University (2014 – 2015).
• Lead Principal Investigator: Start-Up Grant, QUSG-CAS-MPS-12/13-25, funded by Qatar University (2013 – 2014).

 Editorial board 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)

 Editorials of special issues of journals

• • Z.A. Anastassi, A.A. Kosti, M.A. Rufai, Special Issue on “”, Mathematics, MDPI (2024 - 2026) .
  • G. Gupur, Z.A. Anastassi, Special Issue on “”, Axioms, MDPI (2025  - today).
  • C. Wang, Z.A. Anastassi, Special Issue on “”, Axioms, MDPI (2025  - today).
  • T.E. Simos, A.D. Zdetsis, G. Psihoyios, Z.A. Anastassi, Special Issue on Mathematical Chemistry based on papers presented within ICCMSE 2005 Preface, Journal of Mathematical Chemistry, 46, 3, 727-728 (2009).
  • T.E. Simos, G. Psihoyios, Z.A. Anastassi, Proceedings of the International Conference of Computational Methods in Sciences and Engineering 2005 Preface, Mathematical and Computer Modelling, 51, 3-4, 137-137 (2010).

 Reviewer for research councils

• • EPSRC – Engineering and Physical Sciences Research Council (2024 – today)

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.

 Programme committees

• • Member of the Programme 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 Programme Committee of the conference “International Conference of Numerical Analysis and Applied Mathematics” - ICNAAM (2011, 2012)

Reviewer for international journals

• • Elsevier: Applied Mathematics and Computation; Communications in Nonlinear Science and Numerical Simulation; Computer Physics Communications; Computers and Mathematics with Applications; Journal of Computational and Applied Mathematics
  • Springer: European Physical Journal Plus; Journal of Applied Mathematics and Computing
  • Wiley: Mathematical Methods in the Applied Sciences
  • MDPI: Algorithms; Axioms; Computation; Mathematics; Symmetry
  • Taylor & Francis: Engineering Optimization
  • World Scientific: International Journal of Modern Physics C
  • Hindawi: Abstract and Applied Analysis; Discrete Dynamics in Nature and Society; International Journal of Differential Equations; Journal of Applied Mathematics
  • Other: Computing Letters (Brill); Hacettepe Journal of Mathematics and Statistics; Journal of Computational Methods in Sciences and Engineering (IOS Press); Journal of Numerical Analysis, Industrial and Applied Mathematics

Reviewer for special issues of international journals

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

• • Computer Aspects of Numerical Algorithms (CANA), annually, 2010 – today.
  • 3rd International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2022), Bucharest, Romania, 4-7 July 2022.
  • International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) for eight consecutive years 2004 – 2011.
  • International Conference of Computational Methods in Sciences and Engineering (ICCMSE) for nine consecutive years 2003 – 2011.
  • International electronic Conference on Computer Science (IeCCS), annually 2005 – 2008.

Subject group leadership

• • Deputy Subject Group Leader of Games, Mathematics & Intelligent Systems (2022 – 2024).
  • Subject Group Leader of Games, Mathematics & Intelligent Systems (2020 –2022).
  • Interim Subject Group Leader of Games, Mathematics & Intelligent Systems (2019 –2020).

Programme leadership

• • Programme Leader of Mathematics BSc and Personal Tutor (2024 – 2026).
  • Deputy Programme Leader of Mathematics BSc and Personal Tutor (2018 – August 2024).

Vice-chair of international conferences

• Vice-chair of the “International Conference of Numerical Analysis and Applied Mathematics” - ICNAAM 2011, 2012 (500+ participants).

Member of the organising committee of international conferences

• Member of the Organising Committee of the annual Conference entitled “International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)” for seven years (2004 – 2010).
• Member of the Organising Committee of the annual Conference entitled “International Conference of Computational Methods in Sciences and Engineering (ICCMSE)” for nine years (2003 – 2011).
• Member of the Organising Committee of the annual Conference entitled “International electronic Conference on Computer Science” - IeCCS for four years (2005 – 2008).
• Member of the Organising Committee of the Conference entitled “International Conference on Tourism Development and Management” - ICTDM 2009.
• Member of the Organising Committee of the Conference entitled “International Conference on Management and Marketing Sciences” - ICMMS 2008.

Organisation of symposia in international conferences

Organiser of the Symposium entitled “Symposium on the Numerical Solution of Differential Equations and their Applications” during the “International Conference of Numerical Analysis and Applied Mathematics” (ICNAAM) for five years 2008 – 2012. 

Editorship of international conference proceedings

• T.E. Simos, G. Psihoyios, C. Tsitouras, Z.A. Anastassi, Preface: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2012 (ICNAAM-2012) (2450 pages).
• T.E. Simos, G. Psihoyios, C. Tsitouras, Z.A. Anastassi, Preface: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2011 (ICNAAM-2011), AIP Proceedings, 1389   (2060 pages).