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Professor Dr T.E. Simos ‐ CV 2. Jiang, CX (Jiang, Chengxiang)[ 1 ] ; Cong, YH (Cong, Yuhao)[ 1 ], A SIXTH ORDER DIAGONALLY IMPLICIT SYMMETRIC AND SYMPLECTIC RUNGE‐ KUTTA METHOD FOR SOLVING HAMILTONIAN SYSTEMS, APPLIED ANALYSIS AND COMPUTATION, Volume: 5 Issue: 1 Pages: 159‐167, Published: FEB 2015 Paper [R1] 1. K. Kubica, Computers & Chemistry, 25, 245‐250(2001). 2. G. G. Cash, Computers & Chemistry, 25, 577‐582(2001). 3. G. Vanden Berghe, L.Gr. Ixaru and M. Van Daele, Computer Physics Communications, 140, 346‐357(2001). 4. E. Cortazar, A. Usobiaga, L.A. Fernandez. A de Diego and J.M. Madariaga, Computers & Chemistry, 26, 253‐264(2002). 5. L.Gr. Ixaru, G. Vanden Berghe, H. De Meyer, Journal of Computational and Applied Mathematics, 140, 423‐434(2002). 6. J. Leszczynski and M. Ciesielski, Lecture Notes in Computer Science, 2328, 695‐702(2002). 7. A. Pielorz, Lecture Notes in Computer Science, 2328, 738‐746(2002). 8. L.G. Ixaru, B. Paternoster, Function fitting two‐step BDF algorithms for ODEs, COMPUTATIONAL SCIENCE ‐ ICCS 2004, PROCEEDINGS, LECTURE NOTES IN COMPUTER SCIENCE, 3039: 443‐450 Part 4(2004) 9. Vigo‐Aguiar J, Ramos H, Journal Of Mathematical Chemistry, 37, 255‐262 (2005) 10. Li QH, Applied Mathematics And Computation, 165, 37‐44 (2005) 11. Qinghong Li and Xinyuan Wu, APPLIED MATHEMATICS AND COMPUTATION 171 (2): 1239‐1252 DEC 15 2005 12. Z.C. Wang, COMPUTER PHYSICS COMMUNICATIONS 171 (3): 162‐174 OCT 1 2005 13. J.I. Ramos, APPLIED MATHEMATICS AND COMPUTATION 181 (1): 123‐146 OCT 1 2006 14. T.C. Lim, JOURNAL OF MATHEMATICAL CHEMISTRY 39 (1): 177‐186 JAN 2006 15. DE VYVER HV, Efficient one‐step methods for the Schrödinger equation, MATCH‐COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 60 (3): 711‐732 2008 16. Romanowski Z, Application of h‐adaptive, high order finite element method to solve radial Schrodinger equation, MOLECULAR PHYSICS Volume: 107 Issue: 13 Pages: 1339‐1348 Published: 2009 17. 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 279 of 379
Professor Dr T.E. Simos ‐ CV 18. Q.H. Li, Two‐step explicit methods for second‐order IVPs with oscillatory solutions, International Journal of Computer Mathematics 87(2), 353‐366(2010) 19. 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) 20. 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) 21. 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 22. J.M. Perez‐Jorda, Variational solution of the three‐dimensional Schrodinger equation using plane waves in adaptive coordinates, JOURNAL OF CHEMICAL PHYSICS Volume: 135 Issue: 20 Article Number: 204104 DOI: 10.1063/1.3663278 Published: NOV 28 2011 23. 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 24. 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 25. Moodley, M (Moodley, Mervlyn), ACCURATE ROVIBRATIONAL STATE ENERGIES OF BOSONIC VAN DER WAAL DIMERS, INTERNATIONAL JOURNAL OF MODERN PHYSICS C Volume: 24 Issue: 8 Article Number: 1350057 DOI: 10.1142/S0129183113500575 Published: AUG 2013 26. Sovizi, M (Sovizi, Mandi)[ 1 ] ; Mohsseni, M (Mohsseni, Mandi)[ 1 ], NUMERICAL CALCULATION OF EIGEN FUNCTIONS AND ENERGY LEVELS OF QUANTUM WELLS, BASED ON BOUNDARY ELEMENT METHOD, UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN‐SERIES A‐APPLIED MATHEMATICS AND PHYSICS, Volume: 76 Issue: 2 Pages: 169‐180, Published: 2014 27. Tay, WC (Tay, Wei Choon)[ 1 ] ; Tan, EL (Tan, Eng Leong)[ 1 ], Pentadiagonal alternating‐direction‐implicit finite‐difference time‐domain method for twodimensional Schrodinger equation, COMPUTER PHYSICS COMMUNICATIONS, Volume: 185 Issue: 7 Pages: 1886‐1892, DOI: 10.1016/j.cpc.2014.03.014, Published: JUL 2014 28. Perez‐Jorda, JM (Perez‐Jorda, Jose M.), Variational solution of Poisson's equation using plane waves in adaptive coordinates, PHYSICAL REVIEW E, Volume: 90 Issue: 5, Article Number: 053307, DOI: 10.1103/PhysRevE.90.053307, Published: NOV 13 2014 Page 280 of 379
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