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Professor Dr T.E. Simos ‐ CV<br />

4. Tsitouras, Ch, Trigonometric fitted Runge‐Kutta‐Nystrom pair of orders<br />

6(4), Edited by: Simos, T; Psihoyios, G; Tsitouras, C, Conference: 11th<br />

International Conference of Numerical Analysis and Applied Mathematics<br />

(ICNAAM) Location: GREECE Date: SEP 21‐27, 2013, Sponsor(s): European<br />

Soc Computat Methods Sci, Engn & Technol; Santilli Fdn, 11TH<br />

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED<br />

MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013) Book Series: AIP<br />

Conference Proceedings Volume: 1558 Pages: 2509‐2511 Published:<br />

2013<br />

Paper [P161]<br />

1. J.M. Franco, Journal of Computational and Applied Mathematics, 167, 1–<br />

19(2004).<br />

2. Van de Vyver H, Computer Physics Communications, 167, 129‐142 (2005)<br />

3. Van de Vyver H, New Astronomy, 10, 261‐269 (2005)<br />

4. H. Van de Vyver, NEW ASTRONOMY 11 (8): 577‐587 JUL 2006<br />

5. Hans Van de Vyver, A 5(3) pair of explicit Runge–Kutta–Nyström methods for<br />

oscillatory problems, Mathematical and Computer Modelling, 45(5‐6), March<br />

2007, pp. 708‐716<br />

6. J.M. Franco, Exponentially fitted symplectic integrators of RKN type for<br />

solving oscillatory problems, COMPUTER PHYSICS COMMUNICATIONS Volume:<br />

177 Issue: 6 Pages: 479‐492 Published: SEP 15 2007<br />

7. Fang YL (Fang, Yonglei), Wu XY (Wu, Xinyuan), A trigonometrically fitted<br />

explicit hybrid method for the numerical integration of orbital problems,<br />

APPLIED MATHEMATICS AND COMPUTATION Volume: 189 Issue: 1 Pages:<br />

178‐185 Published: JUN 1 2007<br />

8. Kalogiratou, Z, Symplectic trigonometrically fitted partitioned Runge‐Kutta<br />

methods, PHYSICS LETTERS A Volume: 370 Issue: 1 Pages: 1 Published: OCT 8<br />

2007<br />

9. Guo BY and Yan HP, Legendre‐Gauss collocation method for initial value<br />

problems of second order ordinary differential equations, APPLIED NUMERICAL<br />

MATHEMATICS Volume: 59 Issue: 6 Pages: 1386‐1408 Published: JUN<br />

2009<br />

10. A. Konguetsof, A new two‐step hybrid method for the numerical solution of<br />

the Schrodinger equation, Journal of Mathematical Chemistry 47(2), 871‐<br />

890(2010)<br />

11. A. Konguetsof, Two‐step high order hybrid explicit method for the numerical<br />

solution of the Schrödinger equation, Journal of Mathematical Chemistry,<br />

Journal of Mathematical Chemistry, 48(2), 224‐252(2010)<br />

12. Z.A. Anastassi, A new symmetric linear eight‐step method with fifth<br />

trigonometric order for the efficient integration of the Schrodinger equation,<br />

APPLIED MATHEMATICS LETTERS Volume: 24 Issue: 8 Pages: 1468‐1472, AUG<br />

2011<br />

Page 153 of 379

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