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1
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0000613873
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Symmetric Multistep Methods for the Numerical Integration of Planetary Orbits
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D.G. Quinlan and S. Tremaine, Symmetric Multistep Methods for the Numerical Integration of Planetary Orbits, The Astronomical Journal, 100, 5, 1694-1700 (1990)
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Numerical Methods for Ordinary Differential Systems
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John Wiley and Sons.
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J.D.Lambert, Numerical Methods for Ordinary Differential Systems, The Initial Value Problem, Pages 104-107, John Wiley and Sons. (1991)
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The Initial Value Problem
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Lambert, J.D.1
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4
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33645269140
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Stabilization of Cowell's method
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E. Stiefel, D.G. Bettis, Stabilization of Cowell's method, Numer. Math. 13, 154-175 (1969)
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Numer. Math.
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Stiefel, E.1
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5
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54049139508
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Two New Optimized Eight-Step Symmetric Methods for the Efficient Solution of the Schrödinger Equation and Related Problems, MATCH Commun
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G.A. Panopoulos, Z.A. Anastassi and T.E. Simos: Two New Optimized Eight-Step Symmetric Methods for the Efficient Solution of the Schrödinger Equation and Related Problems, MATCH Commun. Math. Comput. Chem., 60, 3, 773-785 (2008)
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Math. Comput. Chem.
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Panopoulos, G.A.1
Anastassi, Z.A.2
Simos, T.E.3
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6
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67650601032
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Two optimized symmetric eight-step implicit methods for initialvalue problems with oscillating solutions
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G.A. Panopoulos, Z.A. Anastassi and T.E. Simos, Two optimized symmetric eight-step implicit methods for initialvalue problems with oscillating solutions, Journal of Mathematical Chemistry 46(2) 604-620(2009)
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(2009)
Journal of Mathematical Chemistry
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, pp. 604-620
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Panopoulos, G.A.1
Anastassi, Z.A.2
Simos, T.E.3
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7
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84873458140
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http://www.burtleburtle.net/bob/math/multistep.html
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8
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0001590149
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Bessel and Neumann fitted methods for the numerical solution of the radial Schrödinger equation
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T.E. Simos and P.S. Williams, Bessel and Neumann fitted methods for the numerical solution of the radial Schrödinger equation, Computers and Chemistry, 21, 175-179 (1977)
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(1977)
Computers and Chemistry
, vol.21
, pp. 175-179
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Simos, T.E.1
Williams, P.S.2
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9
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0037447749
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A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems
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T.E. Simos and Jesus Vigo-Aguiar, A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems, Computer Physics Communications, 152, 274-294 (2003)
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(2003)
Computer Physics Communications
, vol.152
, pp. 274-294
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Simos, T.E.1
Vigo-Aguiar, J.2
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11
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34250466523
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Chebyshevian multistep methods for Ordinary Differential Eqations
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T. Lyche, Chebyshevian multistep methods for Ordinary Differential Eqations, Num. Math. 19, 65-75 (1972)
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(1972)
Num. Math.
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Lyche, T.1
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12
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0346517093
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Specialist Periodical Reports, The Royal Society of Chemistry, Cambridge
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T.E. Simos, Chemical Modelling - Applications and Theory Vol.1, Specialist Periodical Reports, The Royal Society of Chemistry, Cambridge (2000)
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(2000)
Chemical Modelling - Applications and Theory
, vol.1
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Simos, T.E.1
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13
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77958409581
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Symmetric multistep methods for periodic initial values problems
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J.D. Lambert and I.A. Watson, Symmetric multistep methods for periodic initial values problems, J. Inst. Math. Appl. 18 189202 (1976)
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(1976)
J. Inst. Math. Appl.
, vol.18
, pp. 189202
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Lambert, J.D.1
Watson, I.A.2
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14
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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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17
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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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18
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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, NUMERICAL ALGORITHMS 34(1) 27-40(2003)
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(2003)
Numerical Algorithms
, 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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19
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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, APPLIED MATHEMATICS LETTERS 17(5) 601-607(2004)
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(2004)
Applied Mathematics Letters
, vol.17
, Issue.5
, pp. 601-607
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Simos, T.E.1
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20
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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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21
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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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22
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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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24
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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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Volume
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T.E. Simos, Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems, APPLIED MATHEMATICS LETTERS Volume: 22 (10) 1616-1621(2009)
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(2009)
Applied Mathematics Letters
, vol.22
, Issue.10
, pp. 1616-1621
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Simos, T.E.1
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25
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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, APPLIED NUMERICAL MATHEMATICS 59(10) 2467-2474(2009)
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(2009)
Applied Numerical Mathematics
, vol.59
, Issue.10
, pp. 2467-2474
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Stavroyiannis, S.1
Simos, T.E.2
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26
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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 APPLICANDAE MATHEMATICAE 110(3) 1331- 1352(2010)
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(2010)
Acta Applicandae Mathematicae
, vol.110
, Issue.3
, pp. 1331-1352
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Simos, T.E.1
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27
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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, 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
, vol.2012
, pp. 15
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Simos, T.E.1
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28
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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, doi:10.1155/2012/420387
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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
, vol.2012
, pp. 17
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Simos, T.E.1
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29
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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. 38803889
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Anastassi, Z.A.1
Simos, T.E.2
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