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34.Z. Kalogiratou, Th. Monovasilis, and T. E. Simos, Conditions for Trigonometrically Fitted Runge-Kutta Methods, AIP Conf. Proc. 1168 (2009) 1600 35.Th. Monovasilis, Z. Kalogiratou, and T. E. Simos, A Phase-fitted Symplectic Partitioned Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation, AIP Conf. Proc. 1168 (2009) 1595-1599. 36. Z. Kalogiratou, Th. Monovasilis, and T. E. Simos, Symplectic Runge Kutta Nystrom methods with phase lag order six and infinity, AIP Conf. Proc. 1281 (2010) 694 - 697. 37. Th. Monovasilis, Z. Kalogiratou, and T. E. Simos, Symplectic partitioned Runge Kutta methods with minimum phase lag – Case of 5 stages, AIP Conf. Proc. 1281 (2010) 698 - 702. (ζε ππακηικά διεθνών ζυνεδπίων με ζύζηημα κπιηών που έχουν δημοζιευθεί και ζε πεπιοδικά ) 1α Th. Monovasilis, Z. Kalogiratou, and T.E. Simos, Numerical Solution of the two-dimensional time-independent Schrödinger Equation by Symplectic and Assymptotically Symplectic Schemes, Proceedings of the International Conference on Numerical Analysis and Computational Mathematics (NACoM 2003), pp 121- 124, Wiley Publications Cambringe U.K. 23-26/05/2003 [΢ςμπεπιλαμβάνεηαι ζηη βάζη Zentralblatt - Math]. To άπθπο αςηό με επιπλέον επεξεπγαζία δημοζιεύθηκε ζηο Applied Numerical Analysis and Computational Mathematics [2]. 2α Z. Kalogiratou, Th. Monovasilis and T.E. Simos, Numerical Solution of the two-dimensional time-independent Schrödinger Equation, Proceedings of the International Conference on Numerical Analysis and Computational Mathematics (NACoM 2003), pp 99-102, Wiley Publications Cambringe- U.K. 23-26/05/2003. To άπθπο αςηό με επιπλέον επεξεπγαζία δημοζιεύθηκε ζηο Journal of Mathematical Chemistry [3]. 3α Th. Monovasilis, Z. Kalogiratou, and T.E. Simos, Exponentially-fitting Symplectic Methods for the Numerical Integration of the Schrödinger Equation, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2003), pp. 446 – 450, World Scientific. Kastoria 12-16/09/2003. To άπθπο αςηό με επιπλέον επεξεπγαζία δημοζιεύθηκε ζηο Journal of Mathematical Chemistry [4]. 4α Th. Monovasilis, Z. Kalogiratou and T.E. Simos, Exponential-fitting symplectic methods for the numerical solution of the Schrödinger equation, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2004), pp 273-275, WILEY-VCH. Chalkis-Greece 10-14/09/2004. (ζςμπεπιλαμβάνεηαι ζηη βάζη Zentralblatt Math)To άπθπο αςηό με επιπλέον επεξεπγαζία δημοζιεύθηκε ζηο Applied Numerical Analysis and Computational Mathematics [5]. VIII. ΜΟΝΟΓΡΑΦΙΔ΢
1. Καλογηπάηος Ε., Μονοβαζίληρ Θ., ΢ίμορ Θ., Απιθμηηική Δπίλυζη Γιαθοπικών Δξιζώζεων ISBN 960-630-720-4, Καζηοπιά (2005). IΥ. ΑΝΑΦΟΡΔ΢ ΑΠΟ ΑΛΛΟΤ΢ ΔΡΔΤΝΗΣΔ΢ 1. Liu Xue-Shen, Chi Yu-Hua, Ding Pei-Zhu, Symplectic Schemes and the Shooting Method for Eigenvalues of the Schrödinger Equation, Chinese Physics Letters, 21 (2004) 1681-1684. (Αναθοπά ζηο άπθπο 1) 2. Xue-Shen Liu, Pei-Zhu Ding, Numerical Method Based on Magnus Expansion and a New Shooting Method for Eigenvalues of Schrödinger Equation, International Journal of Quantum Chemistry, 103 (2005) 149-156. (Αναθοπά ζηο άπθπο 1) 3. Siu A. Chin, Petr Anisimov, Gradient symplectic algorithms for solving the radial Schrödinger Equation, The Journal of Chemical Physics, 124 (2006) 054106. (Αναθοπά ζηο άπθπο 1) 4. Hans Van de Vyver, A fourth-order symplectic exponentially fitted integrator, Computer Physics Communications, 174 (2006) 255-262. (Αναθοπά ζηο άπθπο 4) 5. T.E. Simos, A P-stable exponentially-fitted method for the numerical integration of the Schrödinger Equation, Molecular Simulation, 31 (2005) 1095-1100. (Αναθοπά ζηα άπθπα 2 και 5) 6. Chunli Zhang, Xueshen Liu, Peizhu Ding, Yueying Qi, The enhancement of efficiency of high-order harmonic in intense laser field based on asymptotic boundary conditions and symplectic algorithm, Journal of Mathematical Chemistry 39 (2006) 451-463. (Αναθοπά ζηο άπθπο 6) 7. T.E. Simos, Closed Newton-Cotes Trigonometrically-Fitted Formulae For Long Time Integration of Orbital Problems, Revista Mexicana de Astronomia y Astrofisica 42, (2006) 167-177. (Αναθοπά ζηο άπθπο 2) 8. G. Psihoyios, T.E. Simos, The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order Predictor- Corrector methods, Journal of Mathematical Chemistry 40 (2006) 269-293. (Αναθοπά ζηα άπθπα 2,3,4 και 5) 9. Wei Hua, Xueshen Liu, Peizhu Ding, Numerical solution for the Gross- Pitaevskii equation, Journal of Mathematical Chemistry 40 (2006) 243-255. (Αναθοπά ζηο άπθπο 2) 10. T.E. Simos, A four-step exponentially fitted method for the numerical solution of the Schrödinger equation, Journal of Mathematical Chemistry 40 (2006) 305-318. (Αναθοπά ζηα άπθπα 2 και 5) 11. Xue-Shen Liu, Yue-Ying Qi, Jian-Feng He, Pei-Zhu Ding, Recent Progress in Symplectic Algorithms for Use in Quantum Systems, Communications in Computational Physics 2 (2007) 1-53. (Αναθοπά ζηα άπθπα 1 και 6) 12. Z. A. Anastassi, T.E. Simos, A family of exponentially-fitted Runge-Kutta methods with exponential order up to three for the numerical solution of the radial
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