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Professor Dr T.E. Simos ‐ CV 1. Wang ZC, Zhao DY, Dai YM, et al., Proceedings of the Royal Society AMathematical Physical and Engineering Sciences, 461, 1639‐1658 (2005) 2. Y.M. Wang, On Numerov's method for a class of strongly nonlinear twopoint boundary value problems, APLLIED NUMERICAL MATHEMATICS Volume: 61 Issue: 1 Pages: 38‐52 Published: JAN 2011 3. Jha, N (Jha, Navnit), A fifth order accurate geometric mesh finite difference method for general nonlinear two point boundary value problems, APPLIED MATHEMATICS AND COMPUTATION Volume: 219 Issue: 16 Pages: 8425‐8434 DOI: 10.1016/j.amc.2013.02.069 Published: APR 15 2013 Paper [P185] 1. T.C. Lim, Application of Maclaurin series in relating interatomic potential functions: A review, Journal of Mathematical Chemistry, 36, 147‐160(2004) 2. Hideaki Ishikawa, Numerical methods for the eigenvalue determination of second‐order ordinary differential equations, Journal of Computational and Applied Mathematics, Volume: 208 Issue: 2 Pages: 404‐424 Published: NOV 15 2007 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) 4. 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) 5. 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 6. 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 7. Vigo‐Aguiar, J (Vigo‐Aguiar, J.)[ 1 ] ; Ramos, H (Ramos, Higinio)[ 1,2 ], A strategy for selecting the frequency in trigonometrically‐fitted methods based on the minimization of the local truncation errors and the total energy error, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 4 Pages: 1050‐ 1058 Special Issue: SI, DOI: 10.1007/s10910‐013‐0282‐0, Published: APR 2014 Paper [P186] Page 175 of 379
Professor Dr T.E. Simos ‐ CV 1. H. Van De Vyver, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 184 (2): 442‐463 DEC 15 2005 2. Van De Vyver H (Van de Vyver, Hans), Phase‐fitted and amplification‐fitted two‐step hybrid methods for y '' = f (x, y), JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 209 Issue: 1 Pages: 33‐53 Published: DEC 1 2007 3. Vigo‐Aguiar J (Vigo‐Aguiar, J.), Martin‐Vaquero J (Martin‐Vaquero, J.), Ramos H (Ramos, H.), Exponential fitting BDF‐Runge‐Kutta algorithms, COMPUTER PHYSICS COMMUNICATIONS Volume: 178 Issue: 1 Pages: 15‐34 Published: JAN 1 2008 4. Ben‐yu Guo, Jian‐ping Yan, Legendre–Gauss collocation method for initial value problems of second order ordinary differential equations, Applied Numerical Mathematics, In Press, Corrected Proof, Available online 6 September 2008 5. Hans Van de Vyver, Scheifele two‐step methods for perturbed oscillators Journal of Computational and Applied Mathematics, 224 (1): 415‐432 FEB 1 2009 6. 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 7. F. Garcia‐Alonso, JA Reyes, JM Ferrandiz and J. Vigo‐Aguiar, ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 36(4) Article Number: 21(2009) 8. HL Yang, XY Wu, X You, YL Fang, COMPUTER PHYSICS COMMUNICATIONS, 180(10) 1777‐1794(2009) 9. X.Y. Wu, XO You, W. Shi and B. Wang, ERKN integrators for systems of oscillatory second‐order differential equations, COMPUTER PHYSICS COMMUNICATIONS, 181(11), 1873‐1887(2010) 10. G. Vanden Berghe and M. Van Daele, Symplectic exponentially‐fitted fourstage Runge‐Kutta methods of the Gauss type, NUMERICAL ALGORITHMS Volume: 56 Issue: 4 Pages: 591‐608, APR 2011 11. 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 12. J.Y. Li, B. Wang, X. You, X.Y. Wu, Two‐step extended RKN methods for oscillatory systems, COMPUTER PHYSICS COMMUNICATIONS Volume: 182 Issue: 12 Pages: 2486‐2507 DOI: 10.1016/j.cpc.2011.07.007 Published: DEC 2011 13. D. Hollevoet and M. Van Daele, Exponentially‐fitted methods and their stability functions, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 236 Issue: 16 Special Issue: SI Pages: 4006‐4015 DOI: 10.1016/j.cam.2012.02.016 Published: OCT 2012 Page 176 of 379
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