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Professor Dr T.E. Simos ‐ CV MATHEMATICAL CHEMISTRY Volume: 50 Issue: 7 Pages: 1736‐1746 DOI: 10.1007/s10910‐012‐0003‐0 Published: AUG 2012 9. 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 10. 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 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. B. Wang, X.Y. Wu and H. Zhao, Novel improved multidimensional Stormer‐Verlet formulas with applications to four aspects in scientific computation, MATHEMATICAL AND COMPUTER MODELLING Volume: 57 Issue: 3‐4 Pages: 857‐872 DOI: 10.1016/j.mcm.2012.09.014 Published: FEB 2013 15. 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 16. Xinyuan Wu, Bin Wang and Wei Shi, Efficient energy‐preserving integrators for oscillatory Hamiltonian systems, Journal of Computational Physics 235 (2013) 587‐605 17. 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 18. Causley, MF (Causley, Matthew F.)[ 1 ] ; Christlieb, AJ (Christlieb, Andrew J.)[ 1,2 ], HIGHER ORDER A‐STABLE SCHEMES FOR THE WAVE EQUATION USING A SUCCESSIVE CONVOLUTION APPROACH, SIAM JOURNAL ON NUMERICAL ANALYSIS, Volume: 52 Issue: 1 Pages: 220‐235, DOI: 10.1137/130932685, Published: 2014 Page 237 of 379
Professor Dr T.E. Simos ‐ CV 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, 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 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 22. Wang, B (Wang, Bin)[ 1 ] ; Wu, XY (Wu, Xinyuan)[ 2 ], Explicit multifrequency symmetric extended RKN integrators for solving multifrequency and multidimensional oscillatory reversible systems, CALCOLO, Volume: 52 Issue: 2 Pages: 207‐231, DOI: 10.1007/s10092‐014‐0114‐z, Published: JUN 2015 Paper [P270] 1. 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) 2. Z.A. Anastassi, A new symmetric linear eight‐step method with fifth trigonometric order for the efficient integration of the Schrodinger equation, APPLIED MATHEMATICS LETTERS Volume: 24 Issue: 8 Pages: 1468‐1472, AUG 2011 3. 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 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. Liu Yanqin, Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method, ABSTRACT AND APPLIED ANALYSIS Article Number: 752869 DOI: 10.1155/2012/752869 Published: 2012 Page 238 of 379
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