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Professor Dr T.E. Simos ‐ CV 7. T. Van Hecke, M. Van Daele, G. Vanden Berghe, H. De Meyer, J. Comput. Appl. Math. 78, 161‐177(1997). 8. G. Denk and Chr. Penski, J. Comput. Appl. Math. 82, 79‐91(1997). 9. L.Gr. Ixaru and B. Paternoster, Journal of Computational and Applied Mathematics 106, 87‐98(1999). 10. G. Denk, EPOCH: A coherent P‐stable discretization scheme for highly oscillatory ODEs, Tech. Univ. München, Fak. f. Math., Report TUM M9321(1993). 11. Wang ZC, Zhao DY, Dai YM, et al., Proceedings of the Royal Society A ‐ Mathematical Physical and Engineering Sciences, 461, 1639‐1658 (2005) 12. Z.C. Wang and Y.Wang, COMPUTER PHYSICS COMMUNICATIONS 171 (2): 79‐ 92 SEP 15 2005 13. Z.C. Wang, COMPUTER PHYSICS COMMUNICATIONS 171 (3): 162‐174 OCT 1 2005 14. Y.M. Dai, Z.C. Wang, D.M. Wu, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 187 (2): 192‐201 MAR 15 2006 15. Van Daele M (Van Daele, Marnix), Vanden Berghe G (Vanden Berghe, Guido), P‐stable Obrechkoff methods of arbitrary order for second‐order differential equations, NUMERICAL ALGORITHMS Volume: 44 Issue: 2 Pages: 115‐131 Published: FEB 2007 16. Van Daele M (Van Daele, M.), Vanden Berghe G (Vanden Berghe, G.), P‐ stable exponentially‐fitted Obrechkoff methods of arbitrary order for secondorder differential equations, NUMERICAL ALGORITHMS Volume: 46 Issue: 4 Pages: 333‐350 Published: DEC 2007 17. G. Vanden Berghe, M. Van Daele, Exponentially‐fitted Obrechkoff methods for second‐order differential equations, Applied Numerical Mathematics, In Press, Corrected Proof, Available online 21 March 2008 Paper [P12] 1. M. Van Daele, G. Vanden Berghe and H. De Meyer, Comput.Math. Appl. 30, 37‐54(1995). 2. J.M. Franco and F. Petriz, Inter. J. Numer. Meth. Engrg. 38, 3855‐3887 (1995). 3. L.Gr. Ixaru, H. De Meyer, G. Vanden Berghe and M. Van Daele, Numer. Lin. Alg. Appl. 3, 81‐90(1996). 4. J.P. Coleman and L.Gr. Ixaru, IMA J. Numer. Anal. 16,179‐199(1996). 5. J.P. Coleman, Numerical methods for y''=f(x,y), invited lecture in First International Colloquium on Numerical Analysis,Plovdiv, Bulgaria. Published by VSP in the "Selected Invited Lectures and Short Communications Delivered at the First International Colloquium on Numerical Analysis and the Third International Colloquium on Differential Equations", Plovdiv,Bulgaria (August 1992) pp. 19‐30.) 6. L.Gr. Ixaru, Computer Physics Communications, 105, 1‐19(1997). Page 83 of 379
Professor Dr T.E. Simos ‐ CV 7. I.R. Khan and R. Ohba, Journal of Computational and Applied Mathematics, 126, 269‐276(2000). 8. L.Gr. Ixaru, Computers & Chemistry, 25, 39‐53(2001). 9. K. Murugesan, D.P. Dhayabaran, E.C.H. Amirtharaj and D.J. Evans, International Journal of Computer Mathematics, 80, 233‐241(2003). 10. G. Vanden Berghe and L.Gr. Ixaru, “Exponential Fitting”, Kluewer Publications, Volume 568, 2004. 11. H. Van de Vyver, INTERNATIONAL JOURNAL OF MODERN PHYSICS C 17 (5): 663‐675 MAY 2006 12. Y.M. Dai, Z.C. Wang, D.M. Wu, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 187 (2): 192‐201 MAR 15 2006 13. Z.C. Wang and Y.Wang, COMPUTER PHYSICS COMMUNICATIONS 171 (2): 79‐ 92 SEP 15 2005 14. 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 15. Van de Vyver H, An explicit Numerov‐type method for second‐order differential equations with oscillating solutions, COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 53 Issue: 9 Pages: 1339‐1348 Published: MAY 2007 16. Van Daele M (Van Daele, Marnix), Vanden Berghe G (Vanden Berghe, Guido), P‐stable Obrechkoff methods of arbitrary order for second‐order differential equations, NUMERICAL ALGORITHMS Volume: 44 Issue: 2 Pages: 115‐131 Published: FEB 2007 17. Van Daele M (Van Daele, M.), Vanden Berghe G (Vanden Berghe, G.), P‐ stable exponentially‐fitted Obrechkoff methods of arbitrary order for secondorder differential equations, NUMERICAL ALGORITHMS Volume: 46 Issue: 4 Pages: 333‐350 Published: DEC 2007 18. G. Vanden Berghe, M. Van Daele, Exponentially‐fitted Obrechkoff methods for second‐order differential equations, Applied Numerical Mathematics, In Press, Corrected Proof, Available online 21 March 2008 19. 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 Paper [P13] 1. C.G. Joslin, C.G. Gray and J.D. Poll, Comput. Phys. Commun. 75, 1‐9(1993). 2. M. Vandaele, G. Vanden Berghe, H. De Meyer, Comput. Math. Appl. 30, 37‐ 54(1995). 3. O. Bludsky, V. Spirko, J. Cizek, J. Phys. Chem. 99, 15608‐15610(1995). 4. J.P. Coleman and L.Gr. Ixaru, IMA J. Numer. Anal. 16, 179‐199(1996). Page 84 of 379
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