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Professor Dr T.E. Simos ‐ CV 11. Hans Van De Vyver, Fourth order symplectic integration with reduced phase error, INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 19(8) 1257‐1268, AUG 2008 12. F. Garcia‐Alonso and JA Reyes, APPLIED MATHEMATICS AND COMPUTATION, 215(7) 2649‐2662(2009) 13. F. Garcia‐Alonso, JA Reyes, JM Ferrandiz and J. Vigo‐Aguiar, ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 36(4) Article Number: 21(2009) 14. A. París, L. Rández, New embedded explicit pairs of exponentially fitted RungeKua methods, Journal of Computaonal and Applied Mathemacs 234, 767‐776(2010) 15. M. Calvo, J.M. Franco, J.I. Montijano and L. Randez, On high order symmetric and symplectic trigonometrically fitted Runge‐Kutta methods with an even number of stages, BIT NUMERICAL MATHEMATICS 50(1), 3‐21(2010) 16. M. Calvo, J.M. Franco, J.I. Montijano, L. Randez, Symmetric and symplectic exponentially fitted Runge‐Kutta methods of high order, COMPUTER PHYSICS COMMUNICATIONS Volume: 181 Issue: 12 Pages: 2044‐2056 Published: DEC 2010 17. G. Vanden Berghe and M. Van Daele, Symplectic exponentially‐fitted fourstage Runge‐Kutta methods of the Gauss type, NUMERICAL ALGORITHMS Volume: 56 Issue: 4 Pages: 591‐608, APR 2011 18. Z.X. Chen, X. You, W. Shi, Z.L. Liu, Symmetric and symplectic ERKN methods for oscillatory Hamiltonian systems, COMPUTER PHYSICS COMMUNICATIONS Volume: 183 Issue: 1 Pages: 86‐98 DOI: 10.1016/j.cpc.2011.09.002 Published: JAN 2012 19. Shi Wei ; Wu Xinyuan, On symplectic and symmetric ARKN methods, COMPUTER PHYSICS COMMUNICATIONS Volume: 183 Issue: 6 Pages: 1250‐ 1258 DOI: 10.1016/j.cpc.2012.02.005 Published: JUN 2012 20. Monovasilis Th, Symplectic partitioned Runge‐Kutta methods with the phase‐lag property, APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: 18 Pages: 9075‐9084 DOI: 10.1016/j.amc.2012.02.042 Published: MAY 15 2012 21. X.Y. Wu, B. Wang and J.L. Xia, Explicit symplectic multidimensional exponential fitting modified Runge‐Kutta‐Nystrom methods, BIT NUMERICAL MATHEMATICS Volume: 52 Issue: 3 Pages: 773‐795 DOI: 10.1007/s10543‐ 012‐0379‐z Published: SEP 2012 22. B. Paternoster, Present state‐of‐the‐art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday, COMPUTER PHYSICS COMMUNICATIONS Volume: 183 Issue: 12 Pages: 2499‐2512 DOI: 10.1016/j.cpc.2012.06.013 Published: DEC 2012 23. J.M. Franco and I. Gómez, Construction of explicit symmetric and symplectic methods of Runge–Kutta–Nyström type for solving perturbed oscillators, Applied Mathematics and Computation 219 (2013) 4637–4649 Page 163 of 379
Professor Dr T.E. Simos ‐ CV 24. Fang, YL (Fang, Yonglei)[ 1 ] ; You, X (You, Xiong)[ 2,3 ] ; Ming, QH (Ming, Qinghe)[ 1 ], New optimized explicit modified RKN methods for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 51 Issue: 1 Pages: 390‐411 DOI: 10.1007/s10910‐012‐0090‐y Published: JAN 2013 25. Kalogiratou, Z (Kalogiratou, Z.), Diagonally implicit trigonometrically fitted symplectic Runge‐Kutta methods, APPLIED MATHEMATICS AND COMPUTATION Volume: 219 Issue: 14 Pages: 7406‐7412 DOI: 10.1016/j.amc.2012.12.089 Published: MAR 15 2013 26. Franco, JM (Franco, J. M.)[ 1 ] ; Gomez, I (Gomez, I.)[ 1 ], Some procedures for the construction of high‐order exponentially fitted Runge‐Kutta‐Nystrom methods of explicit type, COMPUTER PHYSICS COMMUNICATIONS Volume: 184 Issue: 4 Pages: 1310‐1321 DOI: 10.1016/j.cpc.2012.12.018 Published: APR 2013 27. You, X (You, Xiong) ; Chen, BZ (Chen, Bingzhen), Symmetric and symplectic exponentially fitted Runge‐Kutta‐Nystrom methods for Hamiltonian problems, MATHEMATICS AND COMPUTERS IN SIMULATION, Volume: 94 Pages: 76‐95, DOI: 10.1016/j.matcom.2013.05.010, Published: AUG 2013 28. Fang, YL (Fang, Yonglei)[ 1 ] ; You, X (You, Xiong)[ 2 ], New optimized twoderivative Runge‐Kutta type methods for solving the radial Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 1 Pages: 240‐254, DOI: 10.1007/s10910‐013‐0259‐z, Published: JAN 2014 29. Wang, B (Wang, Bin)[ 1,2 ] ; Wu, XY (Wu, Xinyuan)[ 2 ], A highly accurate explicit symplectic ERKN method for multi‐frequency and multidimensional oscillatory Hamiltonian systems, NUMERICAL ALGORITHMS, Volume: 65 Issue: 3 Pages: 705‐721 Special Issue: SI, DOI: 10.1007/s11075‐013‐9811‐y, Published: MAR 2014 30. Franco, JM (Franco, J. M.)[ 1 ] ; Gomez, I (Gomez, I.)[ 1 ], Trigonometrically fitted nonlinear two‐step methods for solving second order oscillatory IVPs, APPLIED MATHEMATICS AND COMPUTATION, Volume: 232 Pages: 643‐657, DOI: 10.1016/j.amc.2014.01.078, Published: APR 1 2014 31. D'Ambrosio, R (D'Ambrosio, R.)[ 1 ] ; Paternoster, B (Paternoster, B.)[ 1 ], Exponentially fitted singly diagonally implicit Runge‐Kutta methods, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Volume: 263 Pages: 277‐ 287, DOI: 10.1016/j.cam.2013.12.022, Published: JUN 2014 32. Franco, JM (Franco, J. M.)[ 1 ] ; Gomez, I (Gomez, I.)[ 1 ] ; Randez, L (Randez, L.)[ 1 ], Optimization of explicit two‐step hybrid methods for solving orbital and oscillatory problems, COMPUTER PHYSICS COMMUNICATIONS, Volume: 185 Issue: 10 Pages: 2527‐2537, DOI: 10.1016/j.cpc.2014.05.030, Published: OCT 2014 33. Yang, YP (Yang, Yanping)[ 1 ] ; Wu, K (Wu, Ke)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], Exponentially fitted TDRK pairs for the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 53 Issue: 6 Pages: 1470‐1487, DOI: 10.1007/s10910‐015‐0500‐z, Published: JUN 2015 Page 164 of 379
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