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Professor Dr T.E. Simos ‐ CV 6. 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 7. 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 8. J. Ma, B.D. Zheng and C.R. Zhang, A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay‐Differential Systems, JOURNAL OF APPLIED MATHEMATICS Article Number: 749847 DOI: 10.1155/2012/749847 Published: 2012 9. 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 10. W. Shi, X.Y. Wu and J.L. Xia, Explicit multi‐symplectic extended leap‐frog methods for Hamiltonian wave equations, JOURNAL OF COMPUTATIONAL PHYSICS Volume: 231 Issue: 22 Pages: 7671‐7694 DOI: 10.1016/j.jcp.2012.07.004 Published: SEP 15 2012 11. 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 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. Xinyuan Wu, Bin Wang, Kai Liu, Hua Zhao, ERKN methods for long‐term integration of multidimensional orbital problems, Applied Mathematical Modelling 37 (2013) 2327‐2336 15. J.M. Franco and I. Gómez, Construction of explicit symmetric and symplectic methods of Runge–Kutta–Nyström type for solving perturbed oscillators, Applied Mathematics and Computation 219 (2013) 4637– 4649 16. 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 Page 239 of 379
Professor Dr T.E. Simos ‐ CV 17. Wu, XY (Wu, Xinyuan)[ 1 ] ; Wang, B (Wang, Bin)[ 1 ] ; Liu, K (Liu, Kai)[ 1 ] ; Zhao, H (Zhao, Hua)[ 2 ], ERKN methods for long‐term integration of multidimensional orbital problems, APPLIED MATHEMATICAL MODELLING Volume: 37 Issue: 4 Pages: 2327‐2336 DOI: 10.1016/j.apm.2012.05.021 Published: FEB 15 2013 18. 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 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. Ma, J (Ma, Jian)[ 1 ] ; Zheng, BD (Zheng, Baodong)[ 2 ], The Applications of Algebraic Methods on Stable Analysis for General Differential Dynamical Systems with Multidelays, DISCRETE DYNAMICS IN NATURE AND SOCIETY, Article Number: 984323, DOI: 10.1155/2015/984323, Published: 2015 21. 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 [P271] 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. W. K. Zahra, A smooth approximation based on exponential spline solutions for nonlinear fourth order two point boundary value problems, APPLIED MATHEMATICS AND COMPUTATION Volume: 217 Issue: 21 Pages: 8447‐8457, JUL 1 2011 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. 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 Page 240 of 379
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