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Professor Dr T.E. Simos ‐ CV 7. Yonglei Fang, Qinghe Ming, Xinyuan Wu, Extended RKN‐type methods with minimal dispersion error for perturbed oscillators, Computer Physics Communications 181, 639–650(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. Shokri, M.Y.R. Ardabili, S. Shahmorad and G. Hojjati, A new two‐step P‐ stable hybrid Obrechkoff method for the numerical integration of second‐order IVPs, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 235 Issue: 6 Pages: 1706‐1712 Published: JAN 15 2011 10. M. Gadella, L.P. Lara, An algebraic method to solve the radial Schrodinger equation, COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 60 Issue: 9 Pages: 2701‐2711 Published: NOV 2010 11. S.D. Achar, Symmetric multistep Obrechkoff methods with zero phase‐lag for periodic initial value problems of second order differential equations, APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: 5 Pages: 2237‐2248 DOI: 10.1016/j.amc.2011.07.040 Published: NOV 1 2011 12. Y. Ozdemir and M. Kucukunal, A Note on Nonlocal Boundary Value Problems for Hyperbolic Schrodinger Equations, ABSTRACT AND APPLIED ANALYSIS Article Number: 687321 DOI: 10.1155/2012/687321 Published: 2012 13. 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 14. Y. Ozdemir and M. Kucukunal, Numerical Solution of Hyperbolic‐ Schrodinger Equations with Nonlocal Boundary Condition, Editor(s): Ashyralyev, A; Lukashov, A, FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012) Book Series: AIP Conference Proceedings Volume: 1470 Pages: 214‐217 DOI: 10.1063/1.4747678 Published: 2012 15. 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 16. 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 17. 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 18. 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 Page 187 of 379
Professor Dr T.E. Simos ‐ CV MATHEMATICAL CHEMISTRY Volume: 51 Issue: 3 Pages: 937‐953 DOI: 10.1007/s10910‐012‐0127‐2 Published: MAR 2013 19. 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 20. Shokri, A (Shokri, Ali), AN EXPLICIT TRIGONOMETRICALLY FITTED TEN‐STEP METHOD WITH PHASE‐LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRODINGER EQUATION, APPLIED AND COMPUTATIONAL MATHEMATICS, Volume: 14 Issue: 1 Pages: 63‐74, Published: 2015 21. Shokri, A (Shokri, Ali)[ 1 ] ; Saadat, H (Saadat, Hosein)[ 1 ], High phase‐lag order trigonometrically fitted two‐step Obrechkoff methods for the numerical solution of periodic initial value problems, NUMERICAL ALGORITHMS, Volume: 68 Issue: 2 Pages: 337‐354, DOI: 10.1007/s11075‐014‐9847‐7, Published: FEB 2015 22. Yang, YP (Yang, Yanping)[ 1 ] ; Wu, K (Wu, Ke)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], Exponentially fitted TDRK pairs for the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 53 Issue: 6 Pages: 1470‐1487, DOI: 10.1007/s10910‐015‐0500‐z, Published: JUN 2015 Paper [P198] 1. G. Psihoyios, Explicit advanced step‐point (EAS) methods and the EAS2 multistep scheme for the solution of non‐stiff initial value problems, Applied Mathematics and Computation, 209 (1): 106‐124 MAR 1 2009 2. Psihoyios G, A family of numerical multistep methods with three distinct schemes: explicit advanced step‐point (EAS) methods and the EAS1 approach, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 46 Issue: 3 Special Issue: Sp. Iss. SI Pages: 866‐895 Published: OCT 2009 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. Y.M. Wang, On Numerov's method for a class of strongly nonlinear twopoint boundary value problems, APLLIED NUMERICAL MATHEMATICS Volume: 61 Issue: 1 Pages: 38‐52 Published: JAN 2011 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 Page 188 of 379
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