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Professor Dr T.E. Simos ‐ CV 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. 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 Paper [P124] 1. Ch. Tsitouras, Computers & Mathematics with Applications, Special Issue: Numerical Methods in Physics, Chemistry and Engineering (Guest Editor: T.E. Simos, Guest Co‐Editors: G. Avdelas and J. Vigo‐Aguiar), 45, 37‐42(2003). 2. E. Celik, E. Karaduman, M. Bayram, International Journal of Quantum Chemistry, 89, 447‐451(2002) 3. Tang C, Zhang F, Yan HQ, Chen ZQ, Luo T, COMMUNICATIONS IN THEORETICAL PHYSICS 44 (3): 435‐439 SEP 15 2005 4. Aloy R, Casaban MC and Jodar L, A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme, APPLIED MATHEMATICS AND COMPUTATION Volume: 215 Issue: 1 Pages: 333‐343 Published: SEP 1 2009 5. 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 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. 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 8. M. Kostoglou, The equimaterial approach for the numerical solution of the one dimensional transient diffusion equation with zero flux boundary conditions, APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: 4 Pages: 1353‐1359 DOI: 10.1016/j.amc.2011.04.087 Published: OCT 15 2011 Paper [P125] 1. M. Selg, Physical Review E, 64, 6701‐6712(2001). 2. G. Vanden Berghe, L.Gr. Ixaru and M. Van Daele, Computer Physics Communications, 140, 346‐357(2001). Page 131 of 379
Professor Dr T.E. Simos ‐ CV 3. J.M. Franco, Journal of Computational and Applied Mathematics, 149, 407‐ 414(2002). 4. Ch. Tsitouras, IEEE T NEURAL NETWORK, 13, 222‐228(2002). 5. Alfred Tang, Daniel R. Shillinglaw and George Nill, The relaxation method for solving the Schrödinger equation in configuration space with the Coulomb and Linear potentials, arXiv: quant‐ph/0011116v6, 20 Jan 2001. 6. M. Calvo, J.M. Franco and L. Randez, Computers & Mathematics with Applications, Special Issue: Numerical Methods in Physics, Chemistry and Engineering (Guest Editor: T.E. Simos, Guest Co‐Editors: G. Avdelas and J. Vigo‐ Aguiar), 45, 535‐545(2003). 7. G.Vanden Berghe, M.Van Daele., H.Vande Vyver , Journal of Computational and Applied Mathematics 159, 217–239(2003). 8. J.M. Franco, A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators , Journal of Computational and Applied Mathematics, in press, 2003. 9. G. Vanden Berghe and M. Van Daele, Journal of Computational Methods in Sciences and Engineering (JCMSE), 3, 489‐497(2003). 10. J.M. Franco, Journal of Computational Methods in Sciences and Engineering (JCMSE), 3, 415‐424(2003). 11. J.M. Franco, Journal of Computational and Applied Mathematics, 167, 1– 19(2004) 12. M. Calvo, J.M. Franco, L. Randez, Journal of Computational Physics, 201, 1‐ 12(2004) 13. Van de Vyver H, Computer Physics Communications, 166, 109‐122 (2005) 14. Van de Vyver H, Applied Mathematics and Computation, 171 (2): 1025‐1036 DEC 15 2005 15. J.I. Ramos, APPLIED MATHEMATICS AND COMPUTATION 181 (1): 123‐146 OCT 1 2006 16. H. Van de Vyver, INTERNATIONAL JOURNAL OF MODERN PHYSICS C 16 (6): 879‐894 JUN 2005 17. J.M. Franco, Exponentially fitted symplectic integrators of RKN type for solving oscillatory problems, COMPUTER PHYSICS COMMUNICATIONS Volume: 177 Issue: 6 Pages: 479‐492 Published: SEP 15 2007 18. Hezhu Shao, Zhongcheng Wang, Arbitrarily precise numerical solutions of the one‐dimensional Schrödinger equation, Computer Physics Communications, 180 (1): 1‐7 JAN 1 2009 19. Shi Wei ; Wu Xinyuan, On symplectic and symmetric ARKN methods, COMPUTER PHYSICS COMMUNICATIONS Volume: 183 Issue: 6 Pages: 1250‐ 1258 DOI: 10.1016/j.cpc.2012.02.005 Published: JUN 2012 20. 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 Page 132 of 379
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