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Professor Dr T.E. Simos ‐ CV Volume: 51 Issue: 1 Pages: 390‐411 DOI: 10.1007/s10910‐012‐0090‐y Published: JAN 2013 11. Liu, SW (Liu, Shiwei)[ 1 ] ; Zheng, J (Zheng, Juan)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], A new modified embedded 5(4) pair of explicit Runge‐Kutta methods for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 51 Issue: 3 Pages: 937‐953 DOI: 10.1007/s10910‐012‐0127‐2 Published: MAR 2013 12. 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 13. Shokri, A (Shokri, Ali)[ 1 ] ; Saadat, H (Saadat, Hosein)[ 1 ], Trigonometrically fitted high‐order predictor‐corrector method with phase‐lag of order infinity for the numerical solution of radial Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 7 Pages: 1870‐1894, DOI: 10.1007/s10910‐014‐0353‐x, Published: AUG 2014 Paper [P165] 1. Van de Vyver H, Computer Physics Communications, 167, 129‐142 (2005) 2. Van de Vyver H, COMPUTER PHYSICS COMMUNICATIONS 173 (3): 115‐130 DEC 15 2005 3. H. Van de Vyver, INTERNATIONAL JOURNAL OF MODERN PHYSICS C 16 (6): 879‐894 JUN 2005 4. 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) 5. Yonglei Fang, Qinghe Ming, Xinyuan Wu, Extended RKN‐type methods with minimal dispersion error for perturbed oscillators, Computer Physics Communications 181, 639–650(2010) 6. 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) 7. 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 8. M.P. Calvo, P. Chartier, A. Murua, J.M. Sanz‐Serna, Numerical stroboscopic averaging for ODEs and DAEs, APPLIED NUMERICAL MATHEMATICS Volume: 61 Issue: 10 Pages: 1077‐1095 DOI: 10.1016/j.apnum.2011.06.007 Published: OCT 2011 9. Monovasilis Th, Symplectic partitioned Runge‐Kutta methods with the phaselag property, APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: Page 157 of 379
Professor Dr T.E. Simos ‐ CV 18 Pages: 9075‐9084 DOI: 10.1016/j.amc.2012.02.042 Published: MAY 15 2012 10. T. Monovasilis, Phase fitted symplectic partitioned Runge‐Kutta methods for the numerical integration of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 50 Issue: 7 Pages: 1736‐1746 DOI: 10.1007/s10910‐012‐0003‐0 Published: AUG 2012 11. Q.H. Ming, Y.P. Yang, Y.L. Fang, An Optimized Runge‐Kutta Method for the Numerical Solution of the Radial Schrodinger Equation, MATHEMATICAL PROBLEMS IN ENGINEERING Article Number: 867948 DOI: 10.1155/2012/867948 Published: 2012 12. Liu, SW (Liu, Shiwei)[ 1 ] ; Zheng, J (Zheng, Juan)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], A new modified embedded 5(4) pair of explicit Runge‐Kutta methods for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 51 Issue: 3 Pages: 937‐953 DOI: 10.1007/s10910‐012‐0127‐2 Published: MAR 2013 13. 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 14. Fang, YL (Fang, Yonglei); You, X (You, Xiong); Ming, QH (Ming, Qinghe), A new phase‐fitted modified Runge‐Kutta pair for the numerical solution of the radial Schrodinger equation, APPLIED MATHEMATICS AND COMPUTATION, Volume: 224 Pages: 432‐441, DOI: 10.1016/j.amc.2013.08.081, Published: NOV 1 2013 15. Franco, JM (Franco, J. M.)[ 1 ] ; Khiar, Y (Khiar, Y.)[ 1 ] ; Randez, L (Randez, L.)[ 1 ], Two new embedded pairs of explicit Runge‐Kutta methods adapted to the numerical solution of oscillatory problems, APPLIED MATHEMATICS AND COMPUTATION, Volume: 252 Pages: 45‐57, DOI: 10.1016/j.amc.2014.11.097, Published: FEB 1 2015 16. Vigo‐Aguiar, J (Vigo‐Aguiar, Jesus)[ 1 ] ; Ramos, H (Ramos, Higinio)[ 1,2 ], On the choice of the frequency in trigonometrically‐fitted methods for periodic problems, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Volume: 277 Pages: 94‐105, DOI: 10.1016/j.cam.2014.09.008, Published: MAR 15 2015 Paper [P166] 1. Vigo‐Aguiar J, Ramos H, Journal Of Mathematical Chemistry, 37, 255‐262 (2005) 2. Kalogiratou, Z, Symplectic trigonometrically fitted partitioned Runge‐Kutta methods, PHYSICS LETTERS A Volume: 370 Issue: 1 Pages: 1 Published: OCT 8 2007 3. J.Q.W. Lo and B.D. Shizgal, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 44 Issue: 3 Pages: 787‐801(2008) Page 158 of 379
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