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Professor Dr T.E. Simos ‐ CV 10. Fang, YL (Fang, Yonglei); You, X (You, Xiong); Ming, QH (Ming, Qinghe), A new phase‐fitted modified Runge‐Kutta pair for the numerical solution of the radial Schrodinger equation, APPLIED MATHEMATICS AND COMPUTATION, Volume: 224 Pages: 432‐441, DOI: 10.1016/j.amc.2013.08.081, Published: NOV 1 2013 11. Fang, YL (Fang, Yonglei)[ 1 ] ; You, X (You, Xiong)[ 2 ], New optimized twoderivative Runge‐Kutta type methods for solving the radial Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 1 Pages: 240‐254, DOI: 10.1007/s10910‐013‐0259‐z, Published: JAN 2014 12. Liu, SW (Liu, Shiwei)[ 1 ] ; Zheng, J (Zheng, Juan)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], A new embedded 5(3) pair of modified Runge‐Kutta‐Nystrom methods for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 4 Pages: 1081‐1098 Special Issue: SI, DOI: 10.1007/s10910‐014‐0328‐y, Published: APR 2014 13. 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 14. Zhang, Yanwei; Che, Haitao; Fang, Yonglei; et al., A New Trigonometrically Fitted Two‐Derivative Runge‐Kutta Method for the Numerical Solution of the Schrodinger Equation and Related Problems, JOURNAL OF APPLIED MATHEMATICS Article Number: 937858 Published: 2013 Paper [P131] 1. Van de Vyver H, Computer Physics Communications, 167, 129‐142 (2005) 2. Van de Vyver H, Applied Mathematics and Computation, 171 (2): 1025‐1036 DEC 15 2005 3. H. Van de Vyver, INTERNATIONAL JOURNAL OF MODERN PHYSICS C 16 (6): 879‐894 JUN 2005 4. Hans Van de Vyver, A 5(3) pair of explicit Runge–Kutta–Nyström methods for oscillatory problems, Mathematical and Computer Modelling, 45(5‐6), March 2007, pp. 708‐716 5. Mahmood MS (Mahmood, Mohammed Shuker), Analysis of Galerkincharacteristics algorithm for variably saturated flow in porous media, INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS Volume: 85 Issue: 3‐4 Pages: 509‐525 Published: 2008 6. Kalogiratou, Z, Symplectic trigonometrically fitted partitioned Runge‐Kutta methods, PHYSICS LETTERS A Volume: 370 Issue: 1 Pages: 1 Published: OCT 8 2007 7. Guo BY and Yan HP, Legendre‐Gauss collocation method for initial value problems of second order ordinary differential equations, APPLIED NUMERICAL MATHEMATICS Volume: 59 Issue: 6 Pages: 1386‐1408 Published: JUN 2009 Page 135 of 379
Professor Dr T.E. Simos ‐ CV 8. JLG Guirao and RG Rubio, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 233(4) 1091‐1095(2009) 9. J. Alvarez and A. Duran, A numerical scheme for periodic travelling‐wave simulations in some nonlinear dispersive wave models, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 235 Issue: 7 Special Issue: SI Pages: 1790‐1797, FEB 1 2011 10. J.P. Yan, B.Y. Guo, Laguerre‐Gauss collocation method for initial value problems of second order ODEs, APPLIED MATHEMATICS AND MECHANICS‐ ENGLISH EDITION Volume: 32 Issue: 12 Pages: 1541‐1564 DOI: 10.1007/s10483‐011‐1522‐x Published: DEC 2011 11. Rodrigues, HS, Monteiro, MTT,Torres, DFM; Zinober, A; Dengue disease, basic reproduction number and control, INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS Volume: 89 Issue: 3 Special Issue: SI Pages: 334‐ 346 DOI: 10.1080/00207160.2011.554540 Published: 2012 12. 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 13. X.Y. Zhang, and Y. Li, Generalized Laguerre pseudospectral method based Laguerre interpolation, APPLIED MATHEMATICS AND COMPUTATION Volume: 219 Issue: 5 Pages: 2545‐2563 DOI: 10.1016/j.amc.2012.08.090 Published: NOV 15 2012 14. Fang, YL (Fang, Yonglei)[ 1 ] ; You, X (You, Xiong)[ 2,3 ] ; Ming, QH (Ming, Qinghe)[ 1 ], New optimized explicit modified RKN methods for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 51 Issue: 1 Pages: 390‐411 DOI: 10.1007/s10910‐012‐0090‐y Published: JAN 2013 15. Moo, KW (Moo, K. W.)[ 1 ] ; Senu, N (Senu, N.)[ 2,1 ] ; Ismail, F (Ismail, F.)[ 2,1 ] ; Suleiman, M (Suleiman, M.)[ 2,1 ], New Phase‐Fitted and Amplification‐ Fitted Fourth‐Order and Fifth‐Order Runge‐Kutta‐Nystrom Methods for Oscillatory Problems, ABSTRACT AND APPLIED ANALYSIS Article Number: 939367 DOI: 10.1155/2013/939367 Published: 2013 16. Fang, YL (Fang, Yonglei)[ 1 ] ; You, X (You, Xiong)[ 2 ] ; Ming, QH (Ming, Qinghe)[ 1 ], EXPONENTIALLY FITTED TWO‐DERIVATIVE RUNGE‐KUTTA METHODS FOR THE SCHRODINGER EQUATION, INTERNATIONAL JOURNAL OF MODERN PHYSICS C Volume: 24 Issue: 10 Article Number: 1350073 DOI: 10.1142/S0129183113500733 Published: OCT 2013. 17. Fang, YL (Fang, Yonglei)[ 1 ] ; You, X (You, Xiong)[ 2 ], New optimized twoderivative Runge‐Kutta type methods for solving the radial Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 1 Pages: 240‐254, DOI: 10.1007/s10910‐013‐0259‐z, Published: JAN 2014. 18. Liu, SW (Liu, Shiwei)[ 1 ] ; Zheng, J (Zheng, Juan)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], A new embedded 5(3) pair of modified Runge‐Kutta‐Nystrom methods for the numerical solution of the Schrodinger equation, JOURNAL OF Page 136 of 379
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