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Professor Dr T.E. Simos ‐ CV 7. Monovasilis Th, Symplectic partitioned Runge‐Kutta methods with the phase‐lag property, APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: 18 Pages: 9075‐9084 DOI: 10.1016/j.amc.2012.02.042 Published: MAY 15 2012 8. Guimaraes Osvaldo ; Piqueira Jose Roberto C., Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial‐Value Problems, MATHEMATICAL PROBLEMS IN ENGINEERING Article Number: 565896 DOI: 10.1155/2012/565896 Published: 2012 9. 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 10. 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 11. 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 12. 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 13. 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 14. 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 15. 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 16. 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 Page 189 of 379
Professor Dr T.E. Simos ‐ CV 17. 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 18. Liu, QX (Liu, Q. X.)[ 1 ] ; Liu, JK (Liu, J. K.)[ 1 ] ; Chen, YM (Chen, Y. M.)[ 1 ], Non‐diminishing relative error of the predictor‐corrector algorithm for certain fractional differential equations, MATHEMATICS AND COMPUTERS IN SIMULATION, Volume: 117 Pages: 10‐19, DOI: 10.1016/j.matcom.2015.05.001, Published: NOV 2015 Paper [P199] 1. Van de Vyver H, COMPUTER PHYSICS COMMUNICATIONS 173 (3): 115‐ 130 DEC 15 2005 2. Van de Vyver H, An explicit Numerov‐type method for second‐order differential equations with oscillating solutions, COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 53 Issue: 9 Pages: 1339‐1348 Published: MAY 2007 3. LIU HW, LIU LB, CHEN YP, A semi‐discretization method based on quartic splines for solving one‐space‐dimensional hyperbolic equations, APPLIED MATHEMATICS AND COMPUTATION, 210 (2): 508‐514 APR 15 2009 4. Gousidou‐Koutita M and Kalvouridis TJ, On the efficiency of Newton and Broyden numerical methods in the investigation of the regular polygon problem of (N+1) bodies, APPLIED MATHEMATICS AND COMPUTATION Volume: 212 Issue: 1 Pages: 100‐112 Published: JUN 1 2009 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. Yonglei Fang, Qinghe Ming, Xinyuan Wu, Extended RKN‐type methods with minimal dispersion error for perturbed oscillators, Computer Physics Communications 181, 639–650(2010) 7. 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) 8. 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 9. Guimaraes Osvaldo ; Piqueira Jose Roberto C., Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial‐Value Problems, MATHEMATICAL PROBLEMS IN ENGINEERING Article Number: 565896 DOI: 10.1155/2012/565896 Published: 2012 Page 190 of 379
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