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Professor Dr T.E. Simos ‐ CV<br />

2. Dane Taylor, Edward Ott and Juan G. Restrepo, Spontaneous<br />

synchronization of coupled oscillator systems with frequency adaptation,<br />

PHYSICAL REVIEW E 81(4) Article Number: 046214 (2010)<br />

3. Vigo‐Aguiar, J (Vigo‐Aguiar, J.)[ 1 ] ; Ramos, H (Ramos, Higinio)[ 1,2 ], A<br />

strategy for selecting the frequency in trigonometrically‐fitted methods<br />

based on the minimization of the local truncation errors and the total<br />

energy error, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52<br />

Issue: 4 Pages: 1050‐1058 Special Issue: SI, DOI: 10.1007/s10910‐013‐<br />

0282‐0, Published: APR 2014<br />

4. Loukopoulos, VC (Loukopoulos, V. C.)[ 1 ] ; Bourantas, GC (Bourantas, G.<br />

C.)[ 2 ], Solution of Two‐dimensional Linear and Nonlinear Unsteady<br />

Schrodinger Equation using "Quantum Hydrodynamics" Formulation with<br />

a MLPG Collocation Method, CMES‐COMPUTER MODELING IN<br />

ENGINEERING & SCIENCES, Volume: 103 Issue: 1 Pages: 49‐70,<br />

Published: DEC 2014<br />

Paper [P256]<br />

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

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

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

Paper [P257]<br />

1. LIU HW, LIU LB, CHEN YP, A semi‐discretization method based on quartic<br />

splines for solving one‐space‐dimensional hyperbolic equations, APPLIED<br />

MATHEMATICS AND COMPUTATION, 210 (2): 508‐514 APR 15 2009<br />

2. Gousidou‐Koutita M and Kalvouridis TJ, On the efficiency of Newton and<br />

Broyden numerical methods in the investigation of the regular polygon<br />

problem of (N+1) bodies, APPLIED MATHEMATICS AND COMPUTATION<br />

Volume: 212 Issue: 1 Pages: 100‐112 Published: JUN 1 2009<br />

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

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

871‐890(2010)<br />

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

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

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

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

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

equation, APPLIED MATHEMATICS LETTERS Volume: 24 Issue: 8 Pages:<br />

1468‐1472, AUG 2011<br />

6. A. Konguetsof, A hybrid method with phase‐lag and derivatives equal to<br />

zero for the numerical integration of the Schrödinger equation, JOURNAL<br />

Page 228 of 379

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