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Professor Dr T.E. Simos ‐ CV<br />

2. Van Daele M (Van Daele, M.), Vanden Berghe G (Vanden Berghe, G.), P‐stable<br />

exponentially‐fitted Obrechkoff methods of arbitrary order for second‐order<br />

differential equations, NUMERICAL ALGORITHMS Volume: 46 Issue: 4<br />

Pages: 333‐350 Published: DEC 2007<br />

3. G. Vanden Berghe, M. Van Daele, Exponentially‐fitted Obrechkoff methods<br />

for second‐order differential equations, Applied Numerical Mathematics, 59 (3‐<br />

4): 815‐829 Sp. Iss. SI, MAR‐APR 2009<br />

4. Berkdemir C and Sever R, Modified l‐states of diatomic molecules subject to<br />

central potentials plus an angle‐dependent potential more options, JOURNAL<br />

OF MATHEMATICAL CHEMISTRY Volume: 46 Issue: 4 Pages: 1122‐1136<br />

Published: NOV 2009<br />

5. 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 />

6. 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 />

7. A. Shokri, M.Y.R. Ardabili, S. Shahmorad and G. Hojjati, A new two‐step P‐<br />

stable hybrid Obrechkoff method for the numerical integration of second‐order<br />

IVPs, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:<br />

235 Issue: 6 Pages: 1706‐1712 Published: JAN 15 2011<br />

8. S.D. Achar, Symmetric multistep Obrechkoff methods with zero phase‐lag for<br />

periodic initial value problems of second order differential equations, APPLIED<br />

MATHEMATICS AND COMPUTATION Volume: 218 Issue: 5 Pages: 2237‐2248<br />

DOI: 10.1016/j.amc.2011.07.040 Published: NOV 1 2011<br />

9. Fang, YL (Fang, Yonglei)[ 1 ] ; You, X (You, Xiong)[ 2,3 ] ; Ming, QH (Ming,<br />

Qinghe)[ 1 ], New optimized explicit modified RKN methods for the numerical<br />

solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY<br />

Volume: 51 Issue: 1 Pages: 390‐411 DOI: 10.1007/s10910‐012‐0090‐y<br />

Published: JAN 2013<br />

10. Liu, SW (Liu, Shiwei)[ 1 ] ; Zheng, J (Zheng, Juan)[ 1 ] ; Fang, YL (Fang,<br />

Yonglei)[ 1 ], A new modified embedded 5(4) pair of explicit Runge‐Kutta<br />

methods for the numerical solution of the Schrodinger equation, JOURNAL OF<br />

MATHEMATICAL CHEMISTRY Volume: 51 Issue: 3 Pages: 937‐953 DOI:<br />

10.1007/s10910‐012‐0127‐2 Published: MAR 2013<br />

11. Shokri, A (Shokri, Ali)[ 1 ] ; Saadat, H (Saadat, Hosein)[ 1 ], Trigonometrically<br />

fitted high‐order predictor‐corrector method with phase‐lag of order infinity for<br />

the numerical solution of radial Schrodinger equation, JOURNAL OF<br />

MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 7 Pages: 1870‐1894, DOI:<br />

10.1007/s10910‐014‐0353‐x, Published: AUG 2014<br />

12. Shokri, A (Shokri, Ali), AN EXPLICIT TRIGONOMETRICALLY FITTED TEN‐STEP<br />

METHOD WITH PHASE‐LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION<br />

OF THE RADIAL SCHRODINGER EQUATION, APPLIED AND COMPUTATIONAL<br />

MATHEMATICS, Volume: 14 Issue: 1 Pages: 63‐74, Published: 2015<br />

Page 193 of 379

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