51³Ô¹Ïapp

Dr. Athina A. Kosti studied Applied Mathematics at University of Crete (Greece), where she gained her B.Sc.. Then, she obtained her M.Sc. in Applied Mathematics at Kapodistrian University of Athens (Greece), and in 2011 she received her Ph.D. in Applied Mathematics at University of Peloponnese (Greece).

Her research interests lie in the fields of Numerical analysis, Development and analysis of numerical algorithms, Numerical solution of initial/boundary value problems, Computational methods for the solution of real problems in physics, medicine, engineering, material science, chemistry, etc.

As a Ph.D. candidate, she was teaching in tertiary education Numerical Analysis and Calculus and their laboratories, including Matlab and Mathematica. Moreover, she has participated as presenter and was a member of the organising committee in conferences. Finally, since 2018 she has been working as lecturer in Mathematics in School of Computer Science and Informatics (51³Ô¹Ïapp).

Institute of Artificial Intelligence (IAI)

• P1. 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, 47, 1, pp. 315-330, J Math Chem (2010).
• P2. 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, 61, 11, pp. 3381-3390, Computers and Mathematics with Applications, (2011).
• P3. 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 Communication, 183, 3, pp. 470-479 (2011).
• P4. 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).
• P5. 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).
• P6. Athinoula A. Kosti, Simon Colreavy-Donnelly, Fabio Caraffini, Zacharias A. Anastassi, Efficient Computation of the Nonlinear Schrödinger Equation with Time-Periodic Coefficients, Mathematics, 8, 374 (2020).

Numerical analysis, Development and analysis of numerical algorithms, Numerical solution of initial/boundary value problems, .
Computational methods for the solution of real problems in physics, medicine, engineering, material science, chemistry, etc.

• Numerical Analysis,
• Applied Mathematics
• Linear Algebra
• Abstract Algebra
• Calculus
• Statistics
• Business Mathematics

• Ph.D. in Applied Mathematics,
• M.Sc. degree in Applied Mathematics
• B.Sc. degree in Applied Mathematics

Linear Algebra, Abstract Algebra, Advanced Statistics for Business, Modelling with Ordinary Differential Equations, Modelling with Partial Differential Equations, Nonlinear Dynamical Systems, Numerical Analysis (MATLAB and MATHEMATICA) 

• Member of the organising committees of the annual conference "“International Conference of Numerical Analysis and Applied Mathematics”, ICNAAM (2009, 2010, 2011).
• Member of the organising committees of the annual conference "“International Conference of Computational Methods in Sciences and Engeeniring”, ICCMSE (2009, 2010, 2011).
• Member of the organising committee of the conference "Gene Around the World" (2008)

• 3/07/2014-7/07/2014, International Conference Computational and Mathematical Methods in Science and Engineering (CMMSE), Rota, Cadiz – Spain.
• 18/09/2011-25/09/2011, International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2011)- presentation of the talk: «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».
• 16/09/2010-20/09/2010, International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010)- presentation of the talk: «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».
• 16/09/2010-20/09/2010, International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010) - presentation of the talk: «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».
• 29/09/2009-4/10/2009 International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2009)- presentation of the talk: «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 ».
• 29/09/2009-4/10/2009, International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2009)-presentation of the talk: «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».