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Professor Dr T.E. Simos ‐ CV 14. 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. 15. J.M. Franco, Journal of Computational Methods in Sciences and Engineering (JCMSE), 3, 415‐424(2003). 16. J.M. Franco, Journal of Computational and Applied Mathematics, 167, 1– 19(2004). 17. M. Calvo, J.M. Franco, L. Randez, Journal of Computational Physics, 201, 1‐ 12(2004). 18. Van de Vyver H, Computer Physics Communications, 166, 109‐122 (2005) 19 Van de Vyver H, New Astronomy, 10, 261‐269 (2005) 20 Van de Vyver H, Computer Physics Communications, 167, 129‐142 (2005) 21 H. Van De Vyver, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 184 (2): 442‐463 DEC 15 2005 22 Van de Vyver H, COMPUTER PHYSICS COMMUNICATIONS 173 (3): 115‐130 DEC 15 2005 23. H. Van De Vyver, COMPUTER PHYSICS COMMUNICATIONS 174 (4): 255‐262 FEB 15 2006 24. A. Tocino, J. Vigo‐Aguiar, MATHEMATICAL AND COMPUTER MODELLING 42 (7‐8): 873‐876 OCT 2005 25. Yonglei Fang and Xinyuan Wu, A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators, Applied Numerical Mathematics, Volume: 57 Issue: 2 Pages: 166‐175 Published: FEB 2007 26. 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 27. Calvo, M, Structure preservation of exponentially fitted Runge‐Kutta methods, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 218 Issue: 2 Pages: 421‐434 Published: SEP 1 2008 28. Calvo M (Calvo, M.), Franco JM (Franco, J. M.), Montijano JI (Montijano, J. I.), Randez L (Randez, L.), Sixth‐order symmetric and symplectic exponentially fitted modified Runge‐Kutta methods of Gauss type, COMPUTER PHYSICS COMMUNICATIONS Volume: 178 Issue: 10 Pages: 732‐744 Published: MAY 15 2008 29. Kalogiratou, Z, Symplectic trigonometrically fitted partitioned Runge‐Kutta methods, PHYSICS LETTERS A Volume: 370 Issue: 1 Pages: 1 Published: OCT 8 2007 30. H.L. Yang, X.Y. Wu, Trigonometrically‐fitted ARKN methods for perturbed oscillators, APPLIED NUMERICAL MATHEMATICS Volume: 58 Issue: 9 Pages: 1375‐1395(2008) 31. Yonglei Fang, Yongzhong Song, Xinyuan Wu, New embedded pairs of explicit Runge–Kutta methods with FSAL properties adapted to the numerical integration of oscillatory problems, Physics Letters A, In Press, Corrected Proof, Available online 10 September 2008 Page 121 of 379
Professor Dr T.E. Simos ‐ CV 32. M. Calvo, J.M. Franco, J.I. Montijano, L. Rández, Sixth‐order symmetric and symplectic exponentially fitted Runge–Kutta methods of the Gauss type, Journal of Computational and Applied Mathematics, 223(1) 387‐398, JAN 1 2009 33. HL Yang, XY Wu, X You, YL Fang, COMPUTER PHYSICS COMMUNICATIONS, 180(10) 1777‐1794(2009) 34. A. París, L. Rández, New embedded explicit pairs of exponentially fitted RungeKua methods, Journal of Computaonal and Applied Mathemacs 234, 767‐776(2010) 35. M. Calvo, J.M. Franco, J.I. Montijano and L. Randez, On high order symmetric and symplectic trigonometrically fitted Runge‐Kutta methods with an even number of stages, BIT NUMERICAL MATHEMATICS 50(1), 3‐21(2010) 36. L.Gr. Ixaru, METHODS TUNED ON THE PHYSICAL PROBLEM. A WAY TO IMPROVE NUMERICAL CODES, ROMANIAN JOURNAL OF PHYSICS, 55(5‐6), 619‐ 630(2010) 37. M. Calvo, J.M. Franco, J.I. Montijano, L. Randez, Symmetric and symplectic exponentially fitted Runge‐Kutta methods of high order, COMPUTER PHYSICS COMMUNICATIONS Volume: 181 Issue: 12 Pages: 2044‐2056 Published: DEC 2010 38. 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 39. R. D'Ambrosio, L.Gr. Ixaru and B. Paternoster, Construction of the ef‐based Runge‐Kutta methods revisited, COMPUTER PHYSICS COMMUNICATIONS Volume: 182 Issue: 2 Pages: 322‐329, FEB 2011 40. R. D’Ambrosio, E. Esposito and B. Paternoster, Exponentially fitted two‐step hybrid methods for y'' = f (x, y), Journal of Computational and Applied Mathematics 235, 4888–4897(2011) 41. R. D'Ambrosio, E. Esposito, B. Paternoster, Parameter estimation in exponentially fitted hybrid methods for second order differential problems, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 50 Issue: 1 Pages: 155‐168 DOI: 10.1007/s10910‐011‐9903‐7 Published: JAN 2012 42. L.G. Ixaru, Runge‐Kutta method with equation dependent coefficients, COMPUTER PHYSICS COMMUNICATIONS Volume: 183 Issue: 1 Pages: 63‐69 DOI: 10.1016/j.cpc.2011.08.017 Published: JAN 2012 43. D'Ambrosio R. ; Esposito E. ; Paternoster B., Exponentially fitted two‐step Runge‐Kutta methods: Construction and parameter selection, APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: 14 Pages: 7468‐7480 DOI: 10.1016/j.amc.2012.01.014 Published: MAR 15 2012 44. Hosseini Reza ; Poozesh Sadegh ; Dinarvand Saeed, MHD Flow of an Incompressible Viscous Fluid through Convergent or Divergent Channels in Presence of a High Magnetic Field, JOURNAL OF APPLIED MATHEMATICS Article Number: 157067 DOI: 10.1155/2012/157067 Published: 2012 45. D. Hollevoet and M. Van Daele, Exponentially‐fitted methods and their stability functions, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Page 122 of 379
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