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Professor Dr T.E. Simos ‐ CV 9. A. Konguetsof, Two‐step high order hybrid explicit method for the numerical solution of the Schrödinger equation, Journal of Mathematical Chemistry, Journal of Mathematical Chemistry, 48(2), 224‐252(2010) 10. A. Konguetsof, A hybrid method with phase‐lag and derivatives equal to zero for the numerical integration of the Schrödinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 49 Issue: 7 Pages: 1330‐1356 DOI: 10.1007/s10910‐011‐9824‐5 Published: AUG 2011 11. B. Wang, X.Y. Wu and H. Zhao, Novel improved multidimensional Stormer‐ Verlet formulas with applications to four aspects in scientific computation, MATHEMATICAL AND COMPUTER MODELLING Volume: 57 Issue: 3‐4 Pages: 857‐872 DOI: 10.1016/j.mcm.2012.09.014 Published: FEB 2013 12. 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 13. 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 14. Liu, SW (Liu, Shiwei)[ 1 ] ; Zheng, J (Zheng, Juan)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], A new embedded 5(3) pair of modified Runge‐Kutta‐Nystrom methods for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 4 Pages: 1081‐1098 Special Issue: SI, DOI: 10.1007/s10910‐014‐0328‐y, Published: APR 2014 15. Vigo‐Aguiar, J (Vigo‐Aguiar, J.)[ 1 ] ; Ramos, H (Ramos, Higinio)[ 1,2 ], A strategy for selecting the frequency in trigonometrically‐fitted methods based on the minimization of the local truncation errors and the total energy error, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 4 Pages: 1050‐ 1058 Special Issue: SI, DOI: 10.1007/s10910‐013‐0282‐0, Published: APR 2014 16. 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 Paper [P169] 1. T.C. Lim, Application of Maclaurin series in relating interatomic potential functions: A review, Journal of Mathematical Chemistry, 36, 147‐160(2004) 2. T.C. Lim, JOURNAL OF MATHEMATICAL CHEMISTRY 39 (1):177‐186 JAN 2006 3. A. Konguetsof, A new two‐step hybrid method for the numerical solution of the Schrodinger equation, Journal of Mathematical Chemistry 47(2), 871‐ 890(2010) Page 161 of 379
Professor Dr T.E. Simos ‐ CV 4. A. Konguetsof, Two‐step high order hybrid explicit method for the numerical solution of the Schrödinger equation, Journal of Mathematical Chemistry, Journal of Mathematical Chemistry, 48(2), 224‐252(2010) 5. 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 6. 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 Paper [P170] 1. J.I. Ramos, APPLIED MATHEMATICS AND COMPUTATION 181 (1): 123‐146 OCT 1 2006 2. M.A.P. Garcia, JOURNAL OF MATHEMATICAL CHEMISTRY 40 (1): 63‐69 JUL 2006 3. H. Van De Vyver, COMPUTER PHYSICS COMMUNICATIONS 174 (4): 255‐262 FEB 15 2006 4. A. Tocino, J. Vigo‐Aguiar, MATHEMATICAL AND COMPUTER MODELLING 42 (7‐8): 873‐876 OCT 2005 5. J.M. Franco, Exponentially fitted symplectic integrators of RKN type for solving oscillatory problems, COMPUTER PHYSICS COMMUNICATIONS Volume: 177 Issue: 6 Pages: 479‐492 Published: SEP 15 2007 6. Van de Vyver H (Van de Vyver, H.), A symplectic Runge‐Kutta‐Nyström method with minimal phase‐lag, PHYSICS LETTERS A Volume: 367 Issue: 1‐2 Pages: 16‐24 Published: JUL 16 2007 7. Calvo, M, Structure preservation of exponentially fitted Runge‐Kutta methods, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 218 Issue: 2 Pages: 421‐434 Published: SEP 1 2008 8. Calvo M (Calvo, M.), Franco JM (Franco, J. M.), Montijano JI (Montijano, J. I.), Randez L (Randez, L.), Sixth‐order symmetric and symplectic exponentially fitted modified Runge‐Kutta methods of Gauss type, COMPUTER PHYSICS COMMUNICATIONS Volume: 178 Issue: 10 Pages: 732‐744 Published: MAY 15 2008 9. Kalogiratou, Z, Symplectic trigonometrically fitted partitioned Runge‐Kutta methods, PHYSICS LETTERS A Volume: 370 Issue: 1 Pages: 1 Published: OCT 8 2007 10. M. Calvo, J.M. Franco, J.I. Montijano, L. Rández, Sixth‐order symmetric and symplectic exponentially fitted Runge–Kutta methods of the Gauss type, Journal of Computational and Applied Mathematics, 223(1) 387‐398, JAN 1 2009 Page 162 of 379
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