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Professor Dr T.E. Simos ‐ CV MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 4 Pages: 1081‐1098 Special Issue: SI, DOI: 10.1007/s10910‐014‐0328‐y, Published: APR 2014 Paper [P132] 1. 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) 2. 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) 3. 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 4. 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 [P134] 1. Barrio R (Barrio, Roberto), Serrano S (Serrano, Sergio), Performance of perturbation methods on orbit prediction, MATHEMATICAL AND COMPUTER MODELLING Volume: 48 Issue: 3‐4 Pages: 594‐600 Published: AUG 2008 2. F. Garcia‐Alonso, JA Reyes, JM Ferrandiz and J. Vigo‐Aguiar, ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 36(4) Article Number: 21(2009) Paper [P135] 1. X.S. Liu, L.W. Su, X.Y. Liu and P.Z. Ding, International Journal of Quantum Chemistry, 83, 303‐309(2001). 2. Schulte M and Arnold A, DISCRETE TRANSPARENT BOUNDARY CONDITIONS FOR THE SCHRODINGER EQUATION ‐ A COMPACT HIGHER ORDER SCHEME, KINETIC AND RELATED MODELS Volume: 1 Issue: 1 Pages: 101‐125 Published: MAR 2008 3. Xu Yiqiang ; Zhang Luming, Alternating direction implicit method for solving two‐dimensional cubic nonlinear Schrodinger equation, COMPUTER PHYSICS COMMUNICATIONS Volume: 183 Issue: 5 Pages: 1082‐1093 DOI: 10.1016/j.cpc.2012.01.006 Published: MAY 2012 Paper [P136] Page 137 of 379
Professor Dr T.E. Simos ‐ CV 1. J. Wensch, M. Dane, W. Hergert, A. Ernst, The solution of stationary ODE problems in quantum mechanics by Magnus methods with stepsize control, Computer Physics Communications, 160, 129‐139(2004) Paper [P137] 1. Cao J (Cao, J.), Lin J (Lin, J.), Dean TA (Dean, T. A.), An implicit unitless error and step‐size control method in integrating unified viscoplastic/creep ODE‐type constitutive equations, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Volume: 73 Issue: 8 Pages: 1094‐1112 Published: FEB 19 2008 2. Hosseini Reza ; Poozesh Sadegh ; Dinarvand Saeed, MHD Flow of an Incompressible Viscous Fluid through Convergent or Divergent Channels in Presence of a High Magnetic Field, JOURNAL OF APPLIED MATHEMATICS Article Number: 157067 DOI: 10.1155/2012/157067 Published: 2012 3. 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 Paper [P138] 1. G. Papageorgiou, Ch. Tsitouras and I.Th. Famelis, International Journal of Modern Physics C, 12, 657‐666(2001). 2. M. Selg, Physical Review E, 64, 6701‐6712(2001). 3. E. Celik, E. Karaduman, M. Bayram, International Journal of Quantum Chemistry, 89, 447‐451(2002) 4. Alfred Tang, Daniel R. Shillinglaw and George Nill, The relaxation method for solving the Schrödinger equation in configuration space with the Coulomb and Linear potentials, arXiv: quant‐ph/0011116v6, 20 Jan 2001. 5. C. Tsitouras, INTERNATIONAL JOURNAL OF MODERN PHYSICS C 17 (6): 861‐ 876 JUN 2006 6. 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 7. Zhang CL (Zhang, Chunli), Liu XS (Liu, Xueshen), Ding PZ (Ding, Peizhu), The quantitative analysis of enhancement of high‐order harmonics in two‐color intense laser fields, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 43 Issue: 4 Pages: 1429‐1436 Published: MAY 2008 Page 138 of 379
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