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Professor Dr T.E. Simos ‐ CV Pages: 1470‐1487, DOI: 10.1007/s10910‐015‐0500‐z, Published: JUN 2015 Paper [P205] 1. Van de Vyver H, COMPUTER PHYSICS COMMUNICATIONS 173 (3): 115‐ 130 DEC 15 2005 2. 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 3. DE VYVER HV, Efficient one‐step methods for the Schrödinger equation, MATCH‐COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 60 (3): 711‐732 2008 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. 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) 7. 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 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. 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 10. 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 11. 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 Page 195 of 379
Professor Dr T.E. Simos ‐ CV JOURNAL OF MODERN PHYSICS C Volume: 24 Issue: 10 Article Number: 1350073 DOI: 10.1142/S0129183113500733 Published: OCT 2013 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. 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 14. 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 15. 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 16. 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 [P206] 1. J.Q.W. Lo and B.D. Shizgal, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 44 Issue: 3 Pages: 787‐801(2008) 2. Schulte M and Arnold A, DISCRETE TRANSPARENT BOUNDARY CONDITIONS FOR THE SCHRODINGER EQUATION ‐ A COMPACT HIGHER ORDER SCHEME, KINETIC AND RELATED MODELS Volume: 1 Issue: 1 Pages: 101‐125 Published: MAR 2008 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) Page 196 of 379
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