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Professor Dr T.E. Simos ‐ CV 1. C. Tsitouras, INTERNATIONAL JOURNAL OF MODERN PHYSICS C 17 (6): 861‐ 876 JUN 2006 2. H. Van de Vyver, INTERNATIONAL JOURNAL OF MODERN PHYSICS C 17 (5): 663‐675 MAY 2006 3. G. Psihoyios, Solving time dependent PDEs via an improved modified extended BDF scheme, Applied Mathematics and Computation, In Press 4. Liu XS (Liu, Xue‐Shen), Qi YY (Qi, Yue‐Ying), Hei JF (Hei, Jian‐Feng), Ding PZ (Ding, Pei‐Zhu), Recent progress in symplectic algorithms for use in quantum systems, COMMUNICATIONS IN COMPUTATIONAL PHYSICS Volume: 2 Issue: 1 Pages: 1‐53 Published: FEB 2007 5. S.D. Achar, Symmetric multistep Obrechkoff methods with zero phase‐lag for periodic initial value problems of second order differential equations, APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: 5 Pages: 2237‐2248 DOI: 10.1016/j.amc.2011.07.040 Published: NOV 1 2011 6. Shokri, A (Shokri, Ali)[ 1 ] ; Saadat, H (Saadat, Hosein)[ 1 ], Trigonometrically fitted high‐order predictor‐corrector method with phase‐lag of order infinity for the numerical solution of radial Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 7 Pages: 1870‐1894, DOI: 10.1007/s10910‐014‐0353‐x, Published: AUG 2014 7. Shokri, A (Shokri, Ali), AN EXPLICIT TRIGONOMETRICALLY FITTED TEN‐STEP METHOD WITH PHASE‐LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRODINGER EQUATION, APPLIED AND COMPUTATIONAL MATHEMATICS, Volume: 14 Issue: 1 Pages: 63‐74, Published: 2015 8. Shokri, A (Shokri, Ali)[ 1 ] ; Saadat, H (Saadat, Hosein)[ 1 ], High phase‐lag order trigonometrically fitted two‐step Obrechkoff methods for the numerical solution of periodic initial value problems, NUMERICAL ALGORITHMS, Volume: 68 Issue: 2 Pages: 337‐354, DOI: 10.1007/s11075‐014‐9847‐7, Published: FEB 2015 Paper [P235] 1. Barrio R (Barrio, Roberto), Serrano S (Serrano, Sergio), Performance of perturbation methods on orbit prediction, MATHEMATICAL AND COMPUTER MODELLING Volume: 48 Issue: 3‐4 Pages: 594‐600 Published: AUG 2008 Paper [P236] 1. Tang C, Zhang F, Yan HQ, Chen ZQ, Luo T, COMMUNICATIONS IN THEORETICAL PHYSICS 44 (3): 435‐439 SEP 15 2005 2. Hezhu Shao, Zhongcheng Wang, Arbitrarily precise numerical solutions of the one‐dimensional Schrödinger equation, Computer Physics Communications, 180 (1): 1‐7 JAN 1 2009 3. Utku Erdogan and Turgut Ozis, A smart nonstandard finite difference scheme for second order nonlinear boundary value problems, JOURNAL Page 213 of 379
Professor Dr T.E. Simos ‐ CV OF COMPUTATIONAL PHYSICS Volume: 230 Issue: 17 Pages: 6464‐ 6474 DOI: 10.1016/j.jcp.2011.04.033 Published: JUL 20 2011 4. Erdogan, U (Erdogan, Utku), Improved Upwind Discretization of the Advection Equation, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Volume: 30 Issue: 3 Pages: 773‐787, DOI: 10.1002/num.21828, Published: MAY 2014 Paper [P237] 1. J.Q.W. Lo and B.D. Shizgal, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 44 Issue: 3 Pages: 787‐801(2008) 2. Yazdan Shirvany, Mohsen Hayati, Rostam Moradian, Multilayer perceptron neural networks with novel unsupervised training method for numerical solution of the partial differential equations, Applied Soft Computing, Volume 9, Issue 1, January 2009, Pages 20‐29 3. SHIRVANY Y, HAYATI M, MORADIAN R, Multilayer perceptron neural networks with novel unsupervised training method for numerical solution of the partial differential equations, APPLIED SOFT COMPUTING, 9 (1): 20‐29 JAN 2009 4. Monovasilis Th, Symplectic partitioned Runge‐Kutta methods with the phaselag property, APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: 18 Pages: 9075‐9084 DOI: 10.1016/j.amc.2012.02.042 Published: MAY 15 2012 5. Sun Zhigang ; Yang Weitao ; Zhang Dong H., Higher‐order split operator schemes for solving the Schrodinger equation in the time‐dependent wave packet method: applications to triatomic reactive scattering calculations, PHYSICAL CHEMISTRY CHEMICAL PHYSICS Volume: 14 Issue: 6 Pages: 1827‐ 1845 DOI: 10.1039/c1cp22790d Published: 2012 6. 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 7. Fang, YL (Fang, Yonglei)[ 1 ] ; You, X (You, Xiong)[ 2,3 ] ; Ming, QH (Ming, Qinghe)[ 1 ], New optimized explicit modified RKN methods for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 51 Issue: 1 Pages: 390‐411 DOI: 10.1007/s10910‐012‐0090‐y Published: JAN 2013 8. Fang, YL (Fang, Yonglei)[ 1 ] ; You, X (You, Xiong)[ 2 ] ; Ming, QH (Ming, Qinghe)[ 1 ], EXPONENTIALLY FITTED TWO‐DERIVATIVE RUNGE‐KUTTA METHODS FOR THE SCHRODINGER EQUATION, INTERNATIONAL JOURNAL OF MODERN PHYSICS C Volume: 24 Issue: 10 Article Number: 1350073 DOI: 10.1142/S0129183113500733 Published: OCT 2013 9. Yang, YP (Yang, Yanping)[ 1 ] ; Wu, K (Wu, Ke)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], Exponentially fitted TDRK pairs for the Schrodinger equation, JOURNAL OF Page 214 of 379
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