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Professor Dr T.E. Simos ‐ CV 1. I.R. Khan and R. Ohba, Journal of Computational and Applied Mathematics, 126, 269‐276(2000). 2. H. Chen and B.D. Shizgal, Journal of Computational and Applied Mathematics, 136, 17‐35(2001). 3. G. Vanden Berghe, L.Gr. Ixaru and M. Van Daele, Computer Physics Communications, 140, 346‐357(2001). 4. I.R. Khan and R. Ohba, Journal of Computational and Applied Mathematics, 154, 115‐124(2003). 5. Z.C. Wang and Y.M. Dai, International Journal of Modern Physics C, 14, 1087‐ 1105(2003). 6. Zhongcheng Wang, Yonghua Ge, Yongming Dai, Deyin Zhao, Computer Physics Communications, in press 7. ZC Wang, YH Ge, YM Dai and DY Zhao, Computer Physics Communications 160, 23‐45(2004) 8. Wang ZC, Computer Physics Communications, 167, 1‐6 (2005) 9. Wang ZC, Chen QM, Computer Physics Communications, 170, 49‐64 (2005) 10. C. Tsitouras, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 191 (2): 297‐305 JUL 1 2006 11. Hezhu Shao, Zhongcheng Wang, Arbitrarily precise numerical solutions of the one‐dimensional Schrödinger equation, Computer Physics Communications, 180 (1): 1‐7 JAN 1 2009 12. R. Spigler, and M. Vianello, The "phase function" method to solve secondorder asymptotically polynomial differential equations, NUMERISCHE MATHEMATIK Volume: 121 Issue: 3 Pages: 565‐586 DOI: 10.1007/s00211‐ 011‐0441‐9 Published: JUL 2012 Paper [P112] 1. M. Selg, Physica Scripta, 62, 108‐116(2000). 2. E. Cortazar, A. Usobiaga, L.A. Fernandez. A de Diego and J.M. Madariaga, Computers & Chemistry, 26, 253‐264(2002). Paper [P114] 1. Ch. Tsitouras, Computers & Mathematics with Applications, Special Issue: Numerical Methods in Physics, Chemistry and Engineering (Guest Editor: T.E. Simos, Guest Co‐Editors: G. Avdelas and J. Vigo‐Aguiar), 45, 37‐42(2003). 2. G. Vanden Berghe, L.Gr. Ixaru and M. Van Daele, Computer Physics Communications, 140, 346‐357(2001). 3. C. Tsitouras, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 191 (2): 297‐305 JUL 1 2006 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) Page 127 of 379
Professor Dr T.E. Simos ‐ CV 5. 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) 6. 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 7. 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 Paper [P116] 1. G. Papageorgiou, Ch. Tsitouras and I.Th. Famelis, International Journal of Modern Physics C, 12, 657‐666(2001). 2. L.K. Bieniasz, Computers & Chemistry, 26, 633‐644(2002). 3. C. Tsitouras, INTERNATIONAL JOURNAL OF MODERN PHYSICS C 17 (6): 861‐ 876 JUN 2006 4. Van De Vyver H (Van de Vyver, Hans), Phase‐fitted and amplification‐fitted two‐step hybrid methods for y '' = f (x, y), JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 209 Issue: 1 Pages: 33‐53 Published: DEC 1 2007 5. I.T. Famelis, Explicit eighth order Numerov‐type methods with reduced number of stages for oscillatory IVPs, INTERNATIONAL JOURNAL OF MODERN PHYSICS C Volume: 19 Issue: 6 Pages: 957‐970(2008) 6. Q.H. Li, Two‐step explicit methods for second‐order IVPs with oscillatory solutions, International Journal of Computer Mathematics 87(2), 353‐366(2010) 7. Heidari, A (Heidari, Alireza)[ 1 ] ; Beg, OA (Beg, O. Anwar)[ 2 ] ; Ghorbani, M (Ghorbani, Mohammadali)[ 1 ], Study of the vibrational characteristics of the homonuclear diatomic nuclear schrodinger equation with a numerov method using a number of empirical potential functions, RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A Volume: 87 Issue: 2 Pages: 216‐224 DOI: 10.1134/S0036024413020040 Published: FEB 2013 Paper [P117] 1. G. Papageorgiou, Ch. Tsitouras and I.Th. Famelis, International Journal of Modern Physics C, 12, 657‐666(2001). 2. J.P. Coleman, IMA J Numerical Analysis, 23 , 197‐220(2003). 3. J.M. Franco, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 187 (1): 41‐57 MAR 1 2006 Page 128 of 379
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