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6
-
-
0141730856
-
Numerical methods for ID, 2D and 3D differential equations arising in chemical problems
-
T. E. Simos, Numerical methods for ID, 2D and 3D differential equations arising in chemical problems, Chemical Modelling: Application and Theory, Vol. 2 (2002), pp. 170-270.
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(2002)
Chemical Modelling: Application and Theory
, vol.2
, pp. 170-270
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-
Simos, T.E.1
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7
-
-
0001237676
-
On finite difference methods for the solution of the Schrödinger equation
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T. E. Simos and P. S. Williams, On finite difference methods for the solution of the Schrödinger equation, Computers & Chemistry 23, 513-554 (1999).
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(1999)
Computers & Chemistry
, vol.23
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Simos, T.E.1
Williams, P.S.2
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8
-
-
34249894146
-
-
T. E. Simos, Numerical Solution of Ordinary Differential Equations with Periodical Solution, doctoral dissertation (National Technical University of Athens, Greece, 1990) (in Greek).
-
T. E. Simos, Numerical Solution of Ordinary Differential Equations with Periodical Solution, doctoral dissertation (National Technical University of Athens, Greece, 1990) (in Greek).
-
-
-
-
9
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-
0000913326
-
On the construction of exponentially-fitted methods for the numerical solution of the Schrödinger equation
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A. Konguetsof and T. E. Simos, On the construction of exponentially-fitted methods for the numerical solution of the Schrödinger equation, Journal of Computational Methods in Sciences and Engineering 1, 143-165 (2001).
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(2001)
Journal of Computational Methods in Sciences and Engineering
, vol.1
, pp. 143-165
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-
Konguetsof, A.1
Simos, T.E.2
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10
-
-
1642456496
-
Trigonometrically-Fitted symmetric methods for the efficient solution of the Schrödinger equation and related problems
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T. E. Simos, A Family of Trigonometrically-Fitted symmetric methods for the efficient solution of the Schrödinger equation and related problems, Journal of Mathematical Chemistry 34, 39-58 (2003).
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(2003)
Journal of Mathematical Chemistry
, vol.34
, pp. 39-58
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-
Simos, T.E.1
Family of, A.2
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11
-
-
1642456494
-
Symplectic methods for the numerical solution of the radial Schrödinger equation
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K. Tselios and T. E. Simos, Symplectic methods for the numerical solution of the radial Schrödinger equation, Journal of Mathematical Chemistry 34, 83-94 (2003).
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(2003)
Journal of Mathematical Chemistry
, vol.34
, pp. 83-94
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-
Tselios, K.1
Simos, T.E.2
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12
-
-
0002481902
-
Exponential-fitting methods for the numerical solution of the Schrödinger equation
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A. D. Raptis and A. C. Allison, Exponential-fitting methods for the numerical solution of the Schrödinger equation, Computer Physics Communications 14, 1-5 (1978).
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(1978)
Computer Physics Communications
, vol.14
, pp. 1-5
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Raptis, A.D.1
Allison, A.C.2
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13
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-
0001176928
-
Exponential multistep methods for ordinary differential equations
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A. D. Raptis, Exponential multistep methods for ordinary differential equations, Bull. Greek Math. Soc. 25, 113-126 (1984).
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(1984)
Bull. Greek Math. Soc
, vol.25
, pp. 113-126
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Raptis, A.D.1
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15
-
-
0002792006
-
A Numerov-like scheme for the numerical solution of the Schrödinger equation in the deep continuum spectrum of energies
-
L. Gr. Ixaru and M. Rizea, A Numerov-like scheme for the numerical solution of the Schrödinger equation in the deep continuum spectrum of energies, Comput. Phys. Commun. 19, 23-27 (1980).
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Comput. Phys. Commun
, vol.19
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Ixaru, L.G.1
Rizea, M.2
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16
-
-
0036341591
-
A new Runge-Kutta-Nystrom method with Phase-Lag of order infinity for the numerical solution of the Schrödinger equation
-
T. E. Simos and P. S. Williams, A new Runge-Kutta-Nystrom method with Phase-Lag of order infinity for the numerical solution of the Schrödinger equation, MATCH Commun. Math. Comput. Chem. 45, 123-137 (2002).
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(2002)
MATCH Commun. Math. Comput. Chem
, vol.45
, pp. 123-137
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-
Simos, T.E.1
Williams, P.S.2
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17
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-
11044228176
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Multiderivative methods for the numerical solution of the Schrödinger equation
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T. E. Simos, Multiderivative methods for the numerical solution of the Schrödinger equation, MATCH Commun. Math. Comput. Chem. 45, 7-26 (2004).
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(2004)
MATCH Commun. Math. Comput. Chem
, vol.45
, pp. 7-26
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Simos, T.E.1
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18
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0000172670
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Exponentially-fitted solutions of the eigenvalue Shrödinger equation with automatic error control
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A. D. Raptis, Exponentially-fitted solutions of the eigenvalue Shrödinger equation with automatic error control, Comput. Phys. Commun. 28, 427-431 (1983).
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(1983)
Comput. Phys. Commun
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Raptis, A.D.1
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19
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0002481899
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On the numerical solution of the Schrödinger equation
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A. D. Raptis, On the numerical solution of the Schrödinger equation, Comput. Phys. Commun. 24, 1-4 (1981).
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(1981)
Comput. Phys. Commun
, vol.24
, pp. 1-4
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Raptis, A.D.1
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20
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-
0002209148
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A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation
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Z. Kalogiratou and T. E. Simos, A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation, Applied Math, and Computation 112, 99-112 (2000).
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(2000)
Applied Math, and Computation
, vol.112
, pp. 99-112
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-
Kalogiratou, Z.1
Simos, T.E.2
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21
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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, 189-202 (1976).
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(1976)
J. Inst. Math. Appl
, vol.18
, pp. 189-202
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-
Lambert, J.D.1
Watson, I.A.2
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22
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0000926830
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A four-step phase-fitted method for the numerical integration of second order initial-value problem
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A. D. Raptis and T. E. Simos, A four-step phase-fitted method for the numerical integration of second order initial-value problem, BIT 31, 160-168 (1991).
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(1991)
BIT
, vol.31
, pp. 160-168
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Raptis, A.D.1
Simos, T.E.2
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24
-
-
0020983418
-
Uncoditionally stable Noumerov-type methods for second order differential equations
-
M. M. Chawla, Uncoditionally stable Noumerov-type methods for second order differential equations, BIT 23, 541-542 (1983).
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(1983)
BIT
, vol.23
, pp. 541-542
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Chawla, M.M.1
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26
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-
7244234215
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Special optimized Runge-Kutta methods for IVPs with oscillating solutions
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Z. A. Anastassi, T. E. Simos, Special optimized Runge-Kutta methods for IVPs with oscillating solutions, Int. J. Mod. Phys. C 15(1), 1-15 (2004).
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(2004)
Int. J. Mod. Phys. C
, vol.15
, Issue.1
, pp. 1-15
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-
Anastassi, Z.A.1
Simos, T.E.2
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27
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1842425400
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Closed Newton-Cotes trigonometrically-fitted formulae for long-time integration
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T. E. Simos, Closed Newton-Cotes trigonometrically-fitted formulae for long-time integration, Int. J. Mod. Phys. C 14(8), 1061-1074 (2003).
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(2003)
Int. J. Mod. Phys. C
, vol.14
, Issue.8
, pp. 1061-1074
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Simos, T.E.1
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28
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-
0042228856
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Exponentially and trigonometrically fitted explicit advanced step-point (EAS) methods for initial value problems with oscillating solutions
-
G. Psihoyios and T. E. Simos, Exponentially and trigonometrically fitted explicit advanced step-point (EAS) methods for initial value problems with oscillating solutions, Int. J. Mod. Phys. C 14(2), 175-184 (2003).
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(2003)
Int. J. Mod. Phys. C
, vol.14
, Issue.2
, pp. 175-184
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-
Psihoyios, G.1
Simos, T.E.2
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29
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-
0038326811
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Dissipative trigonometrically-fitted methods for second order IVPs with oscillating solution
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T. E. Simos, Dissipative trigonometrically-fitted methods for second order IVPs with oscillating solution, Int. J. Mod. Phys. C 13(10), 1333-1345 (2002).
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(2002)
Int. J. Mod. Phys. C
, vol.13
, Issue.10
, pp. 1333-1345
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Simos, T.E.1
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30
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0035562245
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On the construction of efficient methods for second order IVPS with oscillating solution
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T. E. Simos and J. Vigo-Aguiar, On the construction of efficient methods for second order IVPS with oscillating solution, Int. J. Mod. Phys. C 12(10), 1453-1476 (2001).
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(2001)
Int. J. Mod. Phys. C
, vol.12
, Issue.10
, pp. 1453-1476
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-
Simos, T.E.1
Vigo-Aguiar, J.2
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31
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-
0035604926
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A symmetric high order method with minimal phase-lag for the numerical solution of the Schrödinger equation
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T. E. Simos and J. Vigo-Aguiar, A symmetric high order method with minimal phase-lag for the numerical solution of the Schrödinger equation, Int. J. Mod. Phys. C 12(7), 1035-1042 (2001).
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(2001)
Int. J. Mod. Phys. C
, vol.12
, Issue.7
, pp. 1035-1042
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Simos, T.E.1
Vigo-Aguiar, J.2
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32
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0035592606
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An adapted symplectic integrator for Hamiltonian problems
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J. Vigo-Aguiar, T. E. Simos and A. Tocino, An adapted symplectic integrator for Hamiltonian problems, Int. J. Mod. Phys. C 12(2), 225-234 (2001).
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(2001)
Int. J. Mod. Phys. C
, vol.12
, Issue.2
, pp. 225-234
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-
Vigo-Aguiar, J.1
Simos, T.E.2
Tocino, A.3
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33
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-
0034555538
-
An embedded Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation
-
T. E. Simos, An embedded Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation, Int. J. Mod. Phys. C 11(6), 1115-1133 (2000).
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(2000)
Int. J. Mod. Phys. C
, vol.11
, Issue.6
, pp. 1115-1133
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-
Simos, T.E.1
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34
-
-
0034549225
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A new modified Runge-Kutta-Nystrom method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems
-
T. E. Simos and J. Vigo-Aguiar, A new modified Runge-Kutta-Nystrom method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems, Int. J. Mod. Phys. C 11(6), 1195-1208 (2000).
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(2000)
Int. J. Mod. Phys. C
, vol.11
, Issue.6
, pp. 1195-1208
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-
Simos, T.E.1
Vigo-Aguiar, J.2
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35
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0346454407
-
Exponentially-fitted Runge-Kutta third algebraic order methods for the numerical solution of the Schrödinger equation and related problems
-
T. E. Simos and P. S. Williams, Exponentially-fitted Runge-Kutta third algebraic order methods for the numerical solution of the Schrödinger equation and related problems, Int. J. Mod. Phys. C 10(5), 839-851 (1999).
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(1999)
Int. J. Mod. Phys. C
, vol.10
, Issue.5
, pp. 839-851
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-
Simos, T.E.1
Williams, P.S.2
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36
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0032380346
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An eighth order exponentially fitted method for the numerical solution of the Schrödinger equation
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T. E. Simos, An eighth order exponentially fitted method for the numerical solution of the Schrödinger equation, Int. J. Mod. Phys. C 9(2), 271-288 (1998).
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(1998)
Int. J. Mod. Phys. C
, vol.9
, Issue.2
, pp. 271-288
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Simos, T.E.1
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37
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0030367389
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An eighth-order method with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem
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T. E. Simos, An eighth-order method with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem, Int. J. Mod. Phys. C 7(6), 825-835 (1996).
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(1996)
Int. J. Mod. Phys. C
, vol.7
, Issue.6
, pp. 825-835
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Simos, T.E.1
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38
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11144232061
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Exponentially-fitted algorithms: Fixed or frequency dependent knot points?
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G. V. Berghe, M. Van Daele and H. Vande Vyver, Exponentially-fitted algorithms: fixed or frequency dependent knot points?, Appl. Num. Anal. Comp. Math. 1(1), 49-65 (2004).
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Appl. Num. Anal. Comp. Math
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Berghe, G.V.1
Van Daele, M.2
Vande Vyver, H.3
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39
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17044394452
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Numerical solution of the two-dimensional time independent Schrödinger equation by symplectic schemes
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Th. Monovasilis, Z. Kalogiratou and T. E. Simos, Numerical solution of the two-dimensional time independent Schrödinger equation by symplectic schemes, Appl. Num. Anal. Comp. Math. 1(1), 195-204 (2004).
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(2004)
Appl. Num. Anal. Comp. Math
, vol.1
, Issue.1
, pp. 195-204
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Monovasilis, T.1
Kalogiratou, Z.2
Simos, T.E.3
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40
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27544438161
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Effective numerical approximation of Schrödinger type equations through Multiderivative Exponentially-fitted Schemes
-
G. Psihoyios and T. E. Simos, Effective numerical approximation of Schrödinger type equations through Multiderivative Exponentially-fitted Schemes, Appl. Num. Anal. Comp. Math. 1(1), 205-215 (2004).
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Appl. Num. Anal. Comp. Math
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, Issue.1
, pp. 205-215
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Psihoyios, G.1
Simos, T.E.2
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41
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30344475763
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Efficient numerical solution of orbital problems with the use of symmetric four-step trigonometrically-fitted methods
-
G. Psihoyios and T. E. Simos, Efficient numerical solution of orbital problems with the use of symmetric four-step trigonometrically-fitted methods, Appl. Num. Anal. Comp. Math. 1(1), 216-222 (2004).
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(2004)
Appl. Num. Anal. Comp. Math
, vol.1
, Issue.1
, pp. 216-222
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Psihoyios, G.1
Simos, T.E.2
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42
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30344461537
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Extended one-step methods: An exponential fitting approach
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M. Van Daele and G. V. Berghe, Extended one-step methods: An exponential fitting approach, Appl. Num. Anal. Comp. Math. 1(2), 353-362 (2004).
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Appl. Num. Anal. Comp. Math
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, Issue.2
, pp. 353-362
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Van Daele, M.1
Berghe, G.V.2
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43
-
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29144492975
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Partitioned linear multistep method for long term integration of the N-body problem
-
D. S. Vlachos and T. E. Simos, Partitioned linear multistep method for long term integration of the N-body problem, Appl. Num. Anal. Comp. Math. 1(2), 540-546 (2004).
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(2004)
Appl. Num. Anal. Comp. Math
, vol.1
, Issue.2
, pp. 540-546
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Vlachos, D.S.1
Simos, T.E.2
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44
-
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30344440630
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Trigonometrically and exponentially fitted symplectic methods of third order for the numerical integration of the Schrödinger equation
-
Th. Monovasilis and Z. Kalogiratou, Trigonometrically and exponentially fitted symplectic methods of third order for the numerical integration of the Schrödinger equation, Appl. Num. Anal. Comp. Math. 2(2), 238-244 (2005).
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Appl. Num. Anal. Comp. Math
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, Issue.2
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Monovasilis, T.1
Kalogiratou, Z.2
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45
-
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30344464634
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P-stable four-step exponentially-fitted method for the numerical integration of the Schrödinger equation
-
T. E. Simos, P-stable four-step exponentially-fitted method for the numerical integration of the Schrödinger equation, Computing Lett. 1(1), 37-45 (2005).
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(2005)
Computing Lett
, vol.1
, Issue.1
, pp. 37-45
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Simos, T.E.1
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