-
1
-
-
0039235668
-
A first-order perturbative numerical method for the solution of the radial Schrödinger equation
-
Gh. Adam, L. Gr. Ixaru and A. Corciovei, A first-order perturbative numerical method for the solution of the radial Schrödinger equation, J. Comput. Phys. 22 (1976) 1-33.
-
(1976)
J. Comput. Phys.
, vol.22
, pp. 1-33
-
-
Adam, Gh.1
Ixaru, L.Gr.2
Corciovei, A.3
-
2
-
-
0001401038
-
The numerical solution of coupled differential equations arising from the Schrödinger equation
-
A.C. Allison, The numerical solution of coupled differential equations arising from the Schrödinger equation, J. Comput. Phys. 6 (1970) 378-391.
-
(1970)
J. Comput. Phys.
, vol.6
, pp. 378-391
-
-
Allison, A.C.1
-
3
-
-
85033122249
-
A generator of high order embedded p-stable methods for the numerical solution of the Schrödinger equation
-
to appear
-
G. Avdelas and T.E. Simos, A generator of high order embedded P-stable methods for the numerical solution of the Schrödinger equation, J. Comput. Appl. Math., to appear.
-
J. Comput. Appl. Math.
-
-
Avdelas, G.1
Simos, T.E.2
-
5
-
-
0000981521
-
Practical points concerning the solution of the Schrödinger equation
-
J.M. Blatt, Practical points concerning the solution of the Schrödinger equation, J. Comput. Phys. 1 (1967) 382-396.
-
(1967)
J. Comput. Phys.
, vol.1
, pp. 382-396
-
-
Blatt, J.M.1
-
6
-
-
0019010803
-
A one-step method for direct integration of structural dynamic equations
-
L. Brusa and L. Nigro, A one-step method for direct integration of structural dynamic equations, Int. J. Numer. Methods Eng. 15 (1980) 685-699.
-
(1980)
Int. J. Numer. Methods Eng.
, vol.15
, pp. 685-699
-
-
Brusa, L.1
Nigro, L.2
-
7
-
-
0000335011
-
A sixth-order exponentially fitted method for the numerical solution of the radial Schrödinger equation
-
J.R. Cash, A.D. Raptis and T.E. Simos, A sixth-order exponentially fitted method for the numerical solution of the radial Schrödinger equation, J. Comput. Phys. 91 (1990) 413-423.
-
(1990)
J. Comput. Phys.
, vol.91
, pp. 413-423
-
-
Cash, J.R.1
Raptis, A.D.2
Simos, T.E.3
-
8
-
-
0022752603
-
Numerov-type method with minimal phase-lag for the integration of second order periodic initial-value problem. II. Explicit method
-
M.M. Chawla and P.S. Rao, Numerov-type method with minimal phase-lag for the integration of second order periodic initial-value problem. II. Explicit method, J. Comput. Appl. Math. 15 (1986) 329-337.
-
(1986)
J. Comput. Appl. Math.
, vol.15
, pp. 329-337
-
-
Chawla, M.M.1
Rao, P.S.2
-
9
-
-
0023315288
-
An explicit sixth-order method with phase-lag of order eight for y″ = f(t, y)
-
M.M. Chawla and P.S. Rao, An explicit sixth-order method with phase-lag of order eight for y″ = f(t, y), J. Comput. Appl. Math. 16 (1987) 365-368.
-
(1987)
J. Comput. Appl. Math.
, vol.16
, pp. 365-368
-
-
Chawla, M.M.1
Rao, P.S.2
-
10
-
-
0022789944
-
Two-step fourth-order P-stable methods with phase-lag of order six for y″ = f(t, y)
-
M.M. Chawla, P.S. Rao and B. Neta, Two-step fourth-order P-stable methods with phase-lag of order six for y″ = f(t, y), J Comput. Appl. Math. 16 (1986) 233-236.
-
(1986)
J Comput. Appl. Math.
, vol.16
, pp. 233-236
-
-
Chawla, M.M.1
Rao, P.S.2
Neta, B.3
-
11
-
-
0001330331
-
Numerical methods for y″ = f(x, y) via rational approximation for the cosine
-
J.P. Coleman, Numerical methods for y″ = f(x, y) via rational approximation for the cosine, IMA J. Numer. Anal. 9 (1989) 145-165.
-
(1989)
IMA J. Numer. Anal.
, vol.9
, pp. 145-165
-
-
Coleman, J.P.1
-
12
-
-
84968515967
-
An improved eigenvalue corrector formula for solving Schrödinger's equation for central fields
-
J.W. Cooley, An improved eigenvalue corrector formula for solving Schrödinger's equation for central fields. Math. Comput. 15 (1961) 363-374.
-
(1961)
Math. Comput.
, vol.15
, pp. 363-374
-
-
Cooley, J.W.1
-
14
-
-
0023454250
-
Some finite difference methods for computing eigenvalues and eigenvectors of special two-point boundary value problems
-
V. Fack, H. De Meyer and G. Vanden Berghe, Some finite difference methods for computing eigenvalues and eigenvectors of special two-point boundary value problems J. Comput. Appl. Math. 20 (1987) 211-217.
-
(1987)
J. Comput. Appl. Math.
, vol.20
, pp. 211-217
-
-
Fack, V.1
De Meyer, H.2
Berghe, G.V.3
-
15
-
-
36149040101
-
A finite difference approach for the calculation of perturbed oscillator energies
-
V. Fack and G. Vanden Berghe, A finite difference approach for the calculation of perturbed oscillator energies, J. Phys. A: Math. Gen. 18 (1985) 3355-3363.
-
(1985)
J. Phys. A: Math. Gen.
, vol.18
, pp. 3355-3363
-
-
Fack, V.1
Berghe, G.V.2
-
16
-
-
0001248061
-
Numerov method for computing eigenvalues of specific Schrödinger equations
-
V. Fack and G. Vanden Berghe, (Extended) Numerov method for computing eigenvalues of specific Schrödinger equations, J. Phys. A: Math. Gen. 20 (1987) 4153-4160.
-
(1987)
J. Phys. A: Math. Gen.
, vol.20
, pp. 4153-4160
-
-
Fack, V.1
Berghe, G.V.2
-
17
-
-
0000575790
-
2) interaction
-
2) interaction, Phys. Lett. 83A (1981) 121-122.
-
(1981)
Phys. Lett.
, vol.83 A
, pp. 121-122
-
-
Flessas, G.P.1
-
21
-
-
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 (1980), 23-27.
-
(1980)
Comput. Phys. Commun.
, vol.19
, pp. 23-27
-
-
Ixaru, L.Gr.1
Rizea, M.2
-
22
-
-
0005295750
-
Numerov method maximally adapted to the Schrödinger equation
-
L.Gr. Ixaru and M. Rizea, Numerov method maximally adapted to the Schrödinger equation, J. Comput. Phys. 73, (19XX) 306-324.
-
(1919)
J. Comput. Phys.
, vol.73
, pp. 306-324
-
-
Ixaru, L.Gr.1
Rizea, M.2
-
25
-
-
77958409581
-
Symmetric multistep methods for periodic initial value problems
-
J.D. Lambert and I.A. Watson, Symmetric multistep methods for periodic initial value problems, J. Inst. Math. Appl. 18 (1976) 189-202.
-
(1976)
J. Inst. Math. Appl.
, vol.18
, pp. 189-202
-
-
Lambert, J.D.1
Watson, I.A.2
-
28
-
-
12144268141
-
Diatomic molecules according to the wave mechanics. II vibrational levels
-
P.M. Morse, Diatomic molecules according to the wave mechanics. II Vibrational levels, Phys. Rev. 34 (1929) 57-64.
-
(1929)
Phys. Rev.
, vol.34
, pp. 57-64
-
-
Morse, P.M.1
-
29
-
-
0000926830
-
A four-step phase-fitted method for the numerical integration of second order initial-value problems
-
A.D. Raptis and T.E. Simos, A four-step phase-fitted method for the numerical integration of second order initial-value problems, BIT 31 (1991) 160-168.
-
(1991)
BIT
, vol.31
, pp. 160-168
-
-
Raptis, A.D.1
Simos, T.E.2
-
30
-
-
11544286006
-
An exactly soluble Schrödinger equation with a bistable potential
-
M. Razavy, An exactly soluble Schrödinger equation with a bistable potential, Am. J. Phys. 48 (1980) 285-291.
-
(1980)
Am. J. Phys.
, vol.48
, pp. 285-291
-
-
Razavy, M.1
-
32
-
-
0000168727
-
A four-step method for the numerical solution of the Schrödinger equation
-
T.E. Simos, A four-step method for the numerical solution of the Schrödinger equation, J. Comput. Appl. Math. 30 (1990) 251-255.
-
(1990)
J. Comput. Appl. Math.
, vol.30
, pp. 251-255
-
-
Simos, T.E.1
-
33
-
-
0026904411
-
Exponential fitted methods for the numerical integration of the Schrödinger equation
-
T.E. Simos, Exponential fitted methods for the numerical integration of the Schrödinger equation, Comput. Phys. Commun. 71 (1992) 32-38.
-
(1992)
Comput. Phys. Commun.
, vol.71
, pp. 32-38
-
-
Simos, T.E.1
-
34
-
-
0000778465
-
Error analysis of exponential-fitted methods for the numerical solution of the one-dimensional Schrödinger equation
-
T.E. Simos, Error analysis of exponential-fitted methods for the numerical solution of the one-dimensional Schrödinger equation, Phys. Lett. A 177 (1993) 345-350.
-
(1993)
Phys. Lett. A
, vol.177
, pp. 345-350
-
-
Simos, T.E.1
-
35
-
-
0001591709
-
New variable-step procedure for the numerical integration of the one-dimensional Schrödinger equation
-
T.E. Simos, New variable-step procedure for the numerical integration of the one-dimensional Schrödinger equation, J. Comput. Phys. 108 (1993) 175-179.
-
(1993)
J. Comput. Phys.
, vol.108
, pp. 175-179
-
-
Simos, T.E.1
-
36
-
-
0021316047
-
Phase properties of high order almost P-stable formulae
-
R.M. Thomas, Phase properties of high order almost P-stable formulae, BIT 24 (1984) 225-238.
-
(1984)
BIT
, vol.24
, pp. 225-238
-
-
Thomas, R.M.1
-
37
-
-
0000348458
-
Numerical methods for solving radial Schrödinger equation
-
G. Vanden Berghe, V. Fack and H.E. De Meyer, Numerical methods for solving radial Schrödinger equation, J. Comput. Appl. Math. 29 (1989) 391-401.
-
(1989)
J. Comput. Appl. Math.
, vol.29
, pp. 391-401
-
-
Berghe, G.V.1
Fack, V.2
De Meyer, H.E.3
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