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Professor Dr T.E. Simos ‐ CV 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) 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. 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 6. Kumar, R (Kumar, Ramesh)[ 1 ] ; Chand, F (Chand, Fakir)[ 1 ], Asymptotic Study to the N‐Dimensional Radial Schrodinger Equation for the Quark‐ Antiquark System, COMMUNICATIONS IN THEORETICAL PHYSICS Volume: 59 Issue: 5 Pages: 528‐532 DOI: 10.1088/0253‐6102/59/5/02 Published: MAY 2013 7. Kumar, R (Kumar, Ramesh)[ 1 ] ; Chand, F (Chand, Fakir)[ 2 ], Solutions to the N‐dimensional radial Schrodinger equation for the potential ar(2) + br ‐ c/r, PRAMANA‐JOURNAL OF PHYSICS, Volume: 83 Issue: 1 Pages: 39‐48, DOI: 10.1007/s12043‐014‐0759‐9, Published: JUL 2014 8. Shokri, A (Shokri, A.), THE SYMMETRIC TWO‐STEP P‐STABLE NONLINEAR PREDICTOR‐CORRECTOR METHODS FOR THE NUMERICAL SOLUTION OF SECOND ORDER INITIAL VALUE PROBLEMS, BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, Volume: 41 Issue: 1 Pages: 201‐215, Published: FEB‐ MAR 2015 Paper [P233] 1. C. Tsitouras, INTERNATIONAL JOURNAL OF MODERN PHYSICS C 17 (6): 861‐ 876 JUN 2006 2. A.G. Bratsos, I.Th. Famelis, A. Kollias and Ch. Tsitouras, Phase‐fitted Numerov type methods, Applied Mathematics and Computation, Volume: 184 Issue: 1 Pages: 23‐29 Published: JAN 1 2007 3. G. Saldanha and D.J. Saldanha, A class of explicit two‐step superstable methods for second‐order linear initial value problems, International Journal of Computer Mathematics 86(8), 1424‐1432(2009) 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. 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 Page 211 of 379
Professor Dr T.E. Simos ‐ CV MATHEMATICAL CHEMISTRY Volume: 49 Issue: 7 Pages: 1330‐1356 DOI: 10.1007/s10910‐011‐9824‐5 Published: AUG 2011 7. 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 8. 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 9. Y.L. Fang, X. You and Z.X. Chen, New Phase Fitted and Amplification Fitted Numerov‐Type Methods for Periodic IVPs with Two Frequencies, ABSTRACT AND APPLIED ANALYSIS Article Number: 742585 DOI: 10.1155/2012/742585 Published: 2012 10. Y.L. Fang, Q.H. Li, Q.H. Ming, and K.M. Wang, A New Optimized Runge‐Kutta Pair for the Numerical Solution of the Radial Schrodinger Equation, ABSTRACT AND APPLIED ANALYSIS Article Number: 641236 DOI: 10.1155/2012/641236 Published: 2012 11. Zhao, JJ (Zhao, Jingjun)[ 1 ] ; Xiao, JY (Xiao, Jingyu)[ 1 ] ; Xu, Y (Xu, Yang)[ 1 ], Stability and Convergence of an Effective Finite Element Method for Multiterm Fractional Partial Differential Equations, ABSTRACT AND APPLIED ANALYSIS Article Number: 857205 DOI: 10.1155/2013/857205 Published: 2013 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. Duru, K (Duru, Kenneth)[ 1,2 ] ; Kreiss, G (Kreiss, Gunilla)[ 2 ] ; Mattsson, K (Mattsson, Ken)[ 2 ], STABLE AND HIGH‐ORDER ACCURATE BOUNDARY TREATMENTS FOR THE ELASTIC WAVE EQUATION ON SECOND‐ORDER FORM, SIAM JOURNAL ON SCIENTIFIC COMPUTING, Volume: 36 Issue: 6 Pages: A2787‐ A2818, DOI: 10.1137/130947210, Published: 2014 15. Mohanty, RK (Mohanty, R. K.)[ 1 ] ; McKee, S (McKee, Sean)[ 2 ], On the stability of two new two‐step explicit methods for the numerical integration of second order initial value problem on a variable mesh, APPLIED MATHEMATICS LETTERS, Volume: 45 Pages: 31‐36, DOI: 10.1016/j.aml.2015.01.008, Published: JUL 2015 Paper [P234] Page 212 of 379
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