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Professor Dr T.E. Simos ‐ CV 35. Monovasilis Th, Symplectic partitioned Runge‐Kutta methods with the phase‐lag property, APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: 18 Pages: 9075‐9084 DOI: 10.1016/j.amc.2012.02.042 Published: MAY 15 2012 36. T. Monovasilis, Phase fitted symplectic partitioned Runge‐Kutta methods for the numerical integration of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 50 Issue: 7 Pages: 1736‐1746 DOI: 10.1007/s10910‐012‐0003‐0 Published: AUG 2012 37. 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 38. Z.X. Chen, X. You, X. Shu, X and M. Zhang, A New Family of Phase‐Fitted and Amplification‐Fitted Runge‐Kutta Type Methods for Oscillators, JOURNAL OF APPLIED MATHEMATICS Article Number: 236281 DOI: 10.1155/2012/236281 Published: 2012 39. 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 40. You, X (You, Xiong)[ 1,2 ], Limit‐Cycle‐Preserving Simulation of Gene Regulatory Oscillators, DISCRETE DYNAMICS IN NATURE AND SOCIETY Article Number: 673296 DOI: 10.1155/2012/673296 Published: 2012 41. Wu, JW (Wu, Jingwen)[ 1 ] ; Tian, HJ (Tian, Hongjiong)[ 2,3,4 ], Functionallyfitted block methods for ordinary differential equations, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Volume: 271 Pages: 356‐368, DOI: 10.1016/j.cam.2014.04.013, Published: DEC 1 2014 Paper [P17] 1. J.M. Franco and F. Petriz, Inter. J. Numer. Meth. Engrg. 38, 3855‐3887(1995). 2. Xiang Kaili, Applied Mathematics ‐ A Journal of Chinese Universities, Vol 10. Ser. A. No. 4, 369‐374(1995). 3. J.M. Franco, I. Gomez and L. Randez, Journal of Computational andApplied Mathematics 81, 197‐209(1997). 4. K. Stys and T. Stys, Journal of Computational and Applied Mathematics 83, 195‐203(1997). 5. K. Xiang and J. Zhang, Journal of Computational and Applied Mathematics 95, 1‐11(1998). 6. Ch. Tsitouras, Applied Mathematics and Computation, 117, 35‐43(2001). 7. 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). Page 89 of 379
Professor Dr T.E. Simos ‐ CV 8. G. Papageorgiou, Ch. Tsitouras and I.Th. Famelis, International Journal of Modern Physics C, 12, 657‐666(2001). 9. Ch. Tsitouras, Computers & Mathematics with Applications, 43, 943‐ 949(2002). 10. Ch. Tsitouras, Applied Mathematics and Computation, 135, 169‐178(2003). 11. J.P. Coleman, IMA J NUMER ANAL 23, 197‐220(2003). 12. Wang ZC, Zhao DY, Dai YM, et al., Proceedings of The Royal Society A‐ Mathematical Physical And Engineering Sciences, 461, 1639‐1658 (2005) 13. Z.C. Wang and Y.Wang, COMPUTER PHYSICS COMMUNICATIONS 171 (2): 79‐ 92 SEP 15 2005 14. J.M. Franco, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 187 (1): 41‐57 MAR 1 2006 15. Y.M. Dai, Z.C. Wang, D.M. Wu, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 187 (2): 192‐201 MAR 15 2006 16. 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) 17. 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) 18. 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 Paper [P18] 1. P. Zitnan, J. Comput. Appl. Math. 54, 297‐306(1994). 2. L. Gr. Ixaru and M. Rizea, J. Comput. Appl. Math. 79, 87‐99(1997). 3. J. Vigo‐Aguiar and J.M. Ferrandiz, Computers in Physics 12, 467‐470(1998). 4. Jesus Vigo‐Aguiar and Jose M. Ferrandiz, SIAM Journal of Numerical Analysis, 35, 1684‐1708(1998). 5. Jesus Vigo‐Aguiar, Computers & Chemistry, 25, 97‐100(2001). 6. J. Vigo‐Aguiar, L.M. Quintales, S. Natesan, LECT NOTES COMPUT SC, 1981, 262‐270(2001) 7. 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) 8. F. Garcia‐Alonso, JA Reyes, JM Ferrandiz and J. Vigo‐Aguiar, ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 36(4) Article Number: 21(2009) 9. 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 90 of 379
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