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1
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0023366337
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Explicit Runge-Kutta-Nyström methods with reduced phase errors for computing oscillating solutions
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P.J. van der Houwen, B.P. Sommeijer, Explicit Runge-Kutta- Nyström methods with reduced phase errors for computing oscillating solutions, SIAM J. Numer. Anal. 24 (1987) 595-617.
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(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 595-617
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van der Houwen, P.J.1
Sommeijer, B.P.2
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3
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0034744534
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A modified Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems
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T. E. Simos, Jesu's Vigo Aguiar, A modified Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems, Comput. Chem. 25 (2001) 275-281.
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(2001)
Comput. Chem.
, vol.25
, pp. 275-281
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Simos, T.E.1
Aguiar, J.V.2
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4
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70349509116
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A new Numerov-type method for the numerical solution of the Schrödinger equation
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T. E. Simos, A new Numerov-type method for the numerical solution of the Schrödinger equation, J. Math. Chem. 46 (2009) 9811007.
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(2009)
J. Math. Chem.
, vol.46
, pp. 9811007
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Simos, T.E.1
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5
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77955774009
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A modified phase-fitted and amplification-fitted Runge-Kutta-Nyström method for the numerical solution of the radial Schröinger equation
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D.F. Papadopoulos, Z.A. Anastassi, T.E. Simos, A modified phase-fitted and amplification-fitted Runge-Kutta-Nyström method for the numerical solution of the radial Schröinger equation, J. Mol. Model., 16 (2010) 1339-1346.
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(2010)
J. Mol. Model.
, vol.16
, pp. 1339-1346
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Papadopoulos, D.F.1
Anastassi, Z.A.2
Simos, T.E.3
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6
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79960758578
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A New Methodology for the Construction of Optimized Runge-Kutta-Nyström Methods
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D.F. Papadopoulos, T.E. Simos, A New Methodology for the Construction of Optimized Runge-Kutta-Nyström Methods, J. of Modern Physics C, 22 (2011) 623-634.
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(2011)
J. of Modern Physics C
, vol.22
, pp. 623-634
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Papadopoulos, D.F.1
Simos, T.E.2
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7
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77957352499
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High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation
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Ibraheem Alolyan and T.E. Simos, High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation , J. Math. Chem. 48 (2010) 925-958.
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(2010)
J. Math. Chem.
, vol.48
, pp. 925-958
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Alolyan, I.1
Simos, T.E.2
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8
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80052265429
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A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation
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Ibraheem Alolyan and T.E. Simos, A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation, J. Math. Chem. 49 (2011) 1843-1888.
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(2011)
J. Math. Chem.
, vol.49
, pp. 1843-1888
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Alolyan, I.1
Simos, T.E.2
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9
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79960304267
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A hybrid method with phase-lag and derivatives equal to zero for the numerical integration of the Schrödinger equation
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Konguetsof A, A hybrid method with phase-lag and derivatives equal to zero for the numerical integration of the Schrödinger equation, J. Math. Chem. 49 (2011) 1330-1356.
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(2011)
J. Math. Chem.
, vol.49
, pp. 1330-1356
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Konguetsof, A.1
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10
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72949109296
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An optimized explicit Runge-Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation and related problems
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A. A. Kosti, Z. A. Anastassi and T. E. Simos, An optimized explicit Runge-Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation and related problems, J. Math. Chem. 47 (2010) 315-330.
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(2010)
J. Math. Chem.
, vol.47
, pp. 315-330
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Kosti, A.A.1
Anastassi, Z.A.2
Simos, T.E.3
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12
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33645269140
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Stabilization of Cowell's method
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E. Stiefel and D. G. Bettis, Stabilization of Cowell's method, Numerische Mathematik, 13(2) (1969) 154-175
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(1969)
Numerische Mathematik
, vol.13
, Issue.2
, pp. 154-175
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Stiefel, E.1
Bettis, D.G.2
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13
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0042785945
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A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation
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A. Konguetsof and T.E. Simos, A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation, Journal of Computational and Applied Mathematics 158(1) 93-106(2003)
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(2003)
Journal of Computational and Applied Mathematics
, vol.158
, Issue.1
, pp. 93-106
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Konguetsof, A.1
Simos, T.E.2
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16
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0043287096
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Trigonometrically fitted predictor-corrector methods for IVPs with oscillating solutions
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G. Psihoyios and T.E. Simos, Trigonometrically fitted predictor-corrector methods for IVPs with oscillating solutions, Journal of Computational and Applied Mathematics 158(1) 135-144(2003)
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(2003)
Journal of Computational and Applied Mathematics
, vol.158
, Issue.1
, pp. 135-144
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Psihoyios, G.1
Simos, T.E.2
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17
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0347724134
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Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions
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T.E. Simos, I.T. Famelis and C. Tsitouras, Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions, Num. Algor. 34(1) 27-40(2003)
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(2003)
Num. Algor.
, vol.34
, Issue.1
, pp. 27-40
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Simos, T.E.1
Famelis, I.T.2
Tsitouras, C.3
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18
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3242667053
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Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution
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T.E. Simos, Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution, Appl. Math. Lett. 17(5) 601-607(2004)
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(2004)
Appl. Math. Lett.
, vol.17
, Issue.5
, pp. 601-607
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Simos, T.E.1
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19
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11044225131
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Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics
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K. Tselios and T.E. Simos, Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics, Journal of Computational and Applied Mathematics Volume: 175(1) 173-181(2005)
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(2005)
Journal of Computational and Applied Mathematics Volume
, vol.175
, Issue.1
, pp. 173-181
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Tselios, K.1
Simos, T.E.2
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20
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11044223038
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Multiderivative methods of eighth algrebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation
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D.P. Sakas and T.E. Simos, Multiderivative methods of eighth algrebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation, Journal of Computational and Applied Mathematics 175(1) 161-172(2005)
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(2005)
Journal of Computational and Applied Mathematics
, vol.175
, Issue.1
, pp. 161-172
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Sakas, D.P.1
Simos, T.E.2
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21
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11044230652
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A fourth algebraic order trigonometrically fitted predictor-corrector scheme for IVPs with oscillating solutions
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G. Psihoyios and T.E. Simos, A fourth algebraic order trigonometrically fitted predictor-corrector scheme for IVPs with oscillating solutions, Journal of Computational and Applied Mathematics 175(1) 137-147(2005)
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(2005)
Journal of Computational and Applied Mathematics
, vol.175
, Issue.1
, pp. 137-147
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Psihoyios, G.1
Simos, T.E.2
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23
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68449089413
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Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems
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T.E. Simos, Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems, Appl. Math. Lett. 22 (10) 1616-1621(2009)
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(2009)
Appl. Math. Lett.
, vol.22
, Issue.10
, pp. 1616-1621
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Simos, T.E.1
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24
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67650001624
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Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPs
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S. Stavroyiannis and T.E. Simos, Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPs, Appl. Num. Math. 59(10) 2467-2474(2009)
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(2009)
Appl. Num. Math.
, vol.59
, Issue.10
, pp. 2467-2474
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Stavroyiannis, S.1
Simos, T.E.2
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25
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77957331657
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Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation
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T.E. Simos, Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation, Acta Appl. Math. 110(3) 1331-1352(2010)
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(2010)
Acta Appl. Math.
, vol.110
, Issue.3
, pp. 1331-1352
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Simos, T.E.1
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26
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84862274750
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New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration
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Article ID 182536, 15 pages, 2012 doi:10.1155/2012/182536
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T. E. Simos, New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration, Abstract and Applied Analysis, Volume 2012, Article ID 182536, 15 pages, 2012 doi:10.1155/2012/182536
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(2012)
Abstract and Applied Analysis
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Simos, T.E.1
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27
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84861088351
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Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag
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Article ID 420387, 17 pages, doi:10.1155/2012/420387, 2012
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T.E. Simos, Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag, Journal of Applied Mathematics, Volume 2012, Article ID 420387, 17 pages, doi:10.1155/2012/420387, 2012
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(2012)
Journal of Applied Mathematics
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Simos, T.E.1
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28
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84861723014
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A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems
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Z.A. Anastassi and T.E. Simos, A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems, Journal of Computational and Applied Mathematics 236 38803889(2012)
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(2012)
Journal of Computational and Applied Mathematics
, vol.236
, pp. 3880-3889
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Anastassi, Z.A.1
Simos, T.E.2
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