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Professor Dr T.E. Simos ‐ CV 3. 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) 4. 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 5. N. Senu, M. Suleiman, F. Ismail and N.M. Arifin, New 4(3) Pairs Diagonally Implicit Runge‐Kutta‐Nystrom Method for Periodic IVPs, DISCRETE DYNAMICS IN NATURE AND SOCIETY Article Number: 324989 DOI: 10.1155/2012/324989 Published: 2012 Paper [P52] 1. R.A. Gonzales, J. Eisert, I. Koltracht, M. Neumann and G. Rawitschert, J. Comput. Phys. 134, 134‐149(1996). 2. K. Xiang and J. Zhang, Journal of Computational and Applied Mathematics 95, 1‐11(1998). 3. Z.C. Wang and Y.M. Dai, International Journal of Modern Physics C, 14, 1087‐ 1105(2003). 4. Zhongcheng Wang, Yonghua Ge, Yongming Dai, Deyin Zhao, Computer Physics Communications, in press 5. ZC Wang, YH Ge, YM Dai and DY Zhao, A Mathematica program for the twostep twelfth‐order method with multi‐derivative for the numerical solution of a one‐dimensional Schrodinger equation, Computer Physics Communications 160, 23‐45(2004) 6. Wang ZC, Chen QM, Computer Physics Communications, 170, 49‐64 (2005) 7. 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) 8. 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) 9. 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 10. N. Senu, M. Suleiman, F. Ismail and N.M. Arifin, New 4(3) Pairs Diagonally Implicit Runge‐Kutta‐Nystrom Method for Periodic IVPs, DISCRETE DYNAMICS IN NATURE AND SOCIETY Article Number: 324989 DOI: 10.1155/2012/324989 Published: 2012 Paper [P53] Page 105 of 379
Professor Dr T.E. Simos ‐ CV 1. R.A. Gonzales, S.Y. Kang, I. Koltracht, G. Rawitscher, Journal of Computational Physics, 153, 160‐202(1999). 2. S.Y. Kang, Volterra method for the radial Schrodinger equation, Journal of Computational and Applied Mathematics, 169, 277‐296(2004) 3. DE VYVER HV, Efficient one‐step methods for the Schrödinger equation, MATCH‐COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 60 (3): 711‐732 2008 Paper [P54] 1. S. Olszewski and T. Kwiatkowski, Computers and Chemistry, 22, 445‐ 461(1998). Paper [P55] 1. A. Zafer and H. Taseli, Journal of Computational and Applied Mathematics 95, 83‐100(1998). 2. I.R. Khan and R. Ohba, Journal of Computational and Applied Mathematics, 126, 269‐276(2000). 3. K. Ozawa, Japan Journal of Industrial and Applied Mathematics, 18, 107‐ 130(2001). 4. . G. Vanden Berghe and L.Gr. Ixaru, “Exponential Fitting”, Kluewer Publications, Volume 568, 2004. 5. 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) 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. Wu, JW (Wu, Jingwen)[ 1 ] ; Tian, HJ (Tian, Hongjiong)[ 2,3,4 ], Functionallyfitted block methods for ordinary differential equations, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Volume: 271 Pages: 356‐368, DOI: 10.1016/j.cam.2014.04.013, Published: DEC 1 2014 9. Mex, L (Mex, L.)[ 1 ] ; Cruz‐Villar, CA (Cruz‐Villar, Carlos A.)[ 2 ] ; Penunuri, F (Penunuri, F.)[ 1 ], Closed‐Form Solutions to Differential Equations via Differential Evolution, DISCRETE DYNAMICS IN NATURE AND SOCIETY, Article Number: 910316, DOI: 10.1155/2015/910316, Published: 2015 Paper [P56] Page 106 of 379
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