-
1
-
-
0021505273
-
A high order method for the numerical solution of the one dimensional Schrodinger equation
-
J. R. Cash and A. D. Raptis, A high order method for the numerical solution of the onedimensional Schrodinger equation, Comput. Phys. Commun. 33, 299, (1984).
-
(1984)
Comput. Phys. Commun.
, vol.33
, pp. 299
-
-
Cash, J.R.1
Raptis, A.D.2
-
2
-
-
0000335011
-
A sixth-order exponentially fitted method for the numerical solution of the radial Schrodinger equation
-
J. R. Cash, A. D. Raptis and T. E. Simos, A sixth-order exponentially fitted method for the numerical solution of the radial Schrodinger equation, J. Comput. Phys. 91, 413, (1990).
-
(1990)
J. Comput. Phys.
, vol.91
, pp. 413
-
-
Cash, J.R.1
Raptis, A.D.2
Simos, T.E.3
-
3
-
-
0021578695
-
A Numerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
-
M. M. Chawla and P. S. Rao, A Numerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems, J. Comput. Appl. Math. 11, 277, (1984).
-
(1984)
J. Comput. Appl. Math.
, vol.11
, Issue.27
, pp. 7
-
-
Chawla, M.M.1
Rao, P.S.2
-
4
-
-
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, 329, (1986).
-
(1986)
J. Comput. Appl. Math.
, vol.15
, pp. 329
-
-
Chawla, M.M.1
Rao, P.S.2
-
5
-
-
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, 233, (1986).
-
(1986)
J. Comput. Appl. Math.
, vol.16
, pp. 233
-
-
Chawla, M.M.1
Rao, P.S.2
Neta, B.3
-
6
-
-
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, 365, (1987).
-
(1987)
J. Comput. Appl. Math.
, vol.16
, pp. 365
-
-
Chawla, M.M.1
Rao, P.S.2
-
7
-
-
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, 145, (1989).
-
(1989)
IMA J. Numer. Anal.
, vol.9
, pp. 145
-
-
Coleman, J.P.1
-
8
-
-
0005285043
-
P-stability and exponential-fitting methods for y- = f(x, y)
-
J. P. Coleman and L. Gr. Ixaru, P-stability and exponential-fitting methods for y- = f(x, y), IMA J. Numer. Anal. 16, 179, (1996).
-
(1996)
IMA J. Numer. Anal.
, vol.16
, pp. 179
-
-
Coleman, J.P.1
Gr. Ixaru, L.2
-
9
-
-
0002792006
-
A Numerov-like scheme for the numerical solution of the Schrodinger equation in the deep
-
continuum spectrum of energies
-
L. Gr. Ixaru and M. Rizea, A Numerov-like scheme for the numerical solution of the Schrodinger equation in the deep continuum spectrum of energies, Comput. Phys. Commun. 19, 23, (1980).
-
(1980)
Comput. Phys. Commun.
, vol.19
, pp. 23
-
-
Gr. Ixaru, L.1
Rizea, M.2
-
11
-
-
0001614569
-
A new variable step method for the numerical integration of the one-dimensional Schrodinger equation
-
H. Kobeissi and M. Kobeissi, A new variable step method for the numerical integration of the one-dimensional Schrodinger equation, J. Comput. Phys. 77, 501, (1988).
-
(1988)
J. Comput. Phys.
, vol.77
, pp. 501
-
-
Kobeissi, H.1
Kobeissi, M.2
-
12
-
-
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. Applics. 18, 189, (1976).
-
(1976)
J. Inst. Math. Applics.
, vol.18
, pp. 189
-
-
Lambert, J.D.1
Watson, I.A.2
-
13
-
-
0002481899
-
On the numerical solution of the Schrodinger equation
-
A. D. Raptis, On the numerical solution of the Schrodinger equation, Comput. Phys. Commun. 24, 1, (1981).
-
(1981)
Comput. Phys. Commun.
, vol.24
, pp. 1
-
-
Raptis, A.D.1
-
14
-
-
0020458747
-
Two-step methods for the numerical solution of the Schrodinger equation
-
A. D. Raptis, Two-step methods for the numerical solution of the Schrodinger equation, Computing Phy 28, 373, (1982).
-
(1982)
Computing Phy
, vol.28
, pp. 373
-
-
Raptis, A.D.1
-
15
-
-
0000172670
-
Exponentially-fitted solutions of the eigenvalue Schrodinger equation with automatic error control
-
A. D. Raptis, Exponentially-fitted solutions of the eigenvalue Schrodinger equation with automatic error control, Comput, Phys. Commun. 28, 427, (1983).
-
(1983)
Comput, Phys. Commun.
, vol.28
, pp. 427
-
-
Raptis, A.D.1
-
16
-
-
0001176928
-
Exponentially multistep methods for ordinary differential equations
-
A. D. Raptis, Exponentially multistep methods for ordinary differential equations, Bull. Greek Math. Soc. 25, 113, (1984).
-
(1984)
Bull. Greek Math. Soc.
, vol.25
, pp. 113
-
-
Raptis, A.D.1
-
17
-
-
0002481902
-
Exponentially-fitting methods for the numerical solution of the Schrodinger equation
-
A. D. Raptis and A.C. Allison, Exponentially-fitting methods for the numerical solution of the Schrodinger equation, Comput, Phys. Commun. 14, 1, (1978).
-
(1978)
Comput, Phys. Commun.
, vol.14
, pp. 1
-
-
Raptis, A.D.1
Allison, A.C.2
-
18
-
-
0002779398
-
Exponential and Bessel fitting methods for the numerical solution of the Schrodinger equation
-
A. D. Raptis and J.R. Cash, Exponential and Bessel fitting methods for the numerical solution of the Schrodinger equation, Comput, Phys. Commun. 44, 95, (1987).
-
(1987)
Comput, Phys. Commun.
, vol.44
, pp. 95
-
-
Raptis, A.D.1
Cash, J.R.2
-
20
-
-
0000168727
-
A four-step method for the numerical solution of the Schrodinger equation
-
T. E. Simos, A four-step method for the numerical solution of the Schrodinger equation, J. Comput. Appl. Math. 30, 251, (1990).
-
(1990)
J. Comput. Appl. Math.
, vol.30
, pp. 251
-
-
Simos, T.E.1
-
21
-
-
30244570721
-
Some new four-step exponential-fitting methods for the numerical solution of the radial Schrodinger equation
-
T. E. Simos, Some new four-step exponential-fitting methods for the numerical solution of the radial Schrodinger equation, IMA J. Numer. Anal. 11, 347, (1991).
-
(1991)
IMA J. Numer. Anal.
, vol.11
, pp. 347
-
-
Simos, T.E.1
-
22
-
-
0026904411
-
Exponential-fitted methods for the numerical integration of the Schrodinger equation
-
T. E. Simos, Exponential-fitted methods for the numerical integration of the Schrodinger equation, Comput. Phys. Commun. 71, 32, (1992).
-
(1992)
Comput. Phys. Commun.
, vol.71
, pp. 32
-
-
Simos, T.E.1
-
23
-
-
0000778465
-
Error analysis of exponential-fitted methods for the numerical solution of the one-dimensional Schrodinger equation
-
T. E. Simos, Error analysis of exponential-fitted methods for the numerical solution of the one-dimensional Schrodinger equation, Phys. Letters A 177, 345, (1993).
-
(1993)
Phys. Letters A
, vol.177
, pp. 345
-
-
Simos, T.E.1
-
24
-
-
0002586288
-
Explicit two-step methods with minimal phase-lag for the numerical integration of special second order initial value problems and their application to the one-dimensional Schrodinger equation
-
T. E. Simos, Explicit two-step methods with minimal phase-lag for the numerical integration of special second order initial value problems and their application to the one-dimensional Schrodinger equation, J. Comput. Appl. Commun. 39, 89, (1992).
-
(1992)
J. Comput. Appl. Commun.
, vol.39
, pp. 89
-
-
Simos, T.E.1
-
25
-
-
0025596658
-
Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrodinger equation
-
T. E. Simos and A.D. Raptis, Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrodinger equation, Computing 45, 175, (1990).
-
(1990)
Computing
, vol.45
, pp. 175
-
-
Simos, T.E.1
Raptis, A.D.2
-
27
-
-
0001401038
-
The numerical solution of coupled differential equations arising from the Schrodinger equation
-
A.C. Allison, The numerical solution of coupled differential equations arising from the Schrodinger equation, J. Comput. Phys. 6, 378-391 (1970).
-
(1970)
J. Comput. Phys.
, vol.6
, pp. 378-391
-
-
Allison, A.C.1
-
28
-
-
0001107120
-
Thermal scattering of atoms by homonuclear diatomic molecules
-
R.B. Berstein, A. Dalgarno, H. Massey and I.C. Percival, Thermal scattering of atoms by homonuclear diatomic molecules, Proc. Royal Soc. London, Series A 274, 427-442 (1963).
-
(1963)
Proc. Royal Soc. London, Series A
, vol.274
, pp. 427-442
-
-
Berstein, R.B.1
Dalgarno, A.2
Massey, H.3
Percival, I.C.4
-
29
-
-
0000633647
-
Quantum mechanical (phase shift) analysis of differential elastic scattering of molecular beams
-
R.B. Berstrein, Quantum mechanical (phase shift) analysis of differential elastic scattering of molecular beams, J. Chem. Phys. 33, 795-804 (1960).
-
(1960)
J. Chem. Phys.
, vol.33
, pp. 795-804
-
-
Berstrein, R.B.1
-
30
-
-
0345831862
-
High algebraic order methods with minimal phase-lag for accurate solution of the Schrodinger equation
-
T.E. Simos, High algebraic order methods with minimal phase-lag for accurate solution of the Schrodinger equation, International Journal of Modern Physics C 9, 1055-1071 (1998).
-
(1998)
International Journal of Modern Physics C
, Issue.9
, pp. 1055-1071
-
-
Simos, T.E.1
-
31
-
-
0001752844
-
A variable step method for the numerical integration of the onedimensionaSchr odinger equation
-
A.D. Raptis and J.R. Cash, A variable step method for the numerical integration of the onedimensionaSchr odinger equation, Comput. Phys. Commun. 36, 113-119 (1985).
-
(1985)
Comput. Phys. Commun.
, vol.36
, pp. 113-119
-
-
Raptis, A.D.1
Cash, J.R.2
-
32
-
-
0002305257
-
A generator of hybrid explicit methods for the numerical solution of the Schrodinger equation and related problems
-
in press
-
G. Avdelas, A. Konguetsof and T.E. Simos, A generator of hybrid explicit methods for the numerical solution of the Schrodinger equation and related problems, Comput. Phys. Commun., in press (2000).
-
(2000)
Comput. Phys. Commun.
-
-
Avdelas, G.1
Konguetsof, A.2
Simos, T.E.3
-
33
-
-
0030367389
-
An eighth order method with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem
-
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, 825-835 (1996).
-
(1996)
Int. J. Mod. Phys. C
, vol.7
, pp. 825-835
-
-
Simos, T.E.1
-
34
-
-
0000410643
-
Computer algebra programmes for the construction of a family of Numerov-type exponentially-fitted methods for the numerical solution of the Schrodinger equation
-
T.E. Simos and P.S. Williams, Computer algebra programmes for the construction of a family of Numerov-type exponentially-fitted methods for the numerical solution of the Schrodinger equation, Computers & Chemistry 22, 185-218 (1998).
-
(1998)
Computers & Chemistry
, vol.22
, pp. 185-218
-
-
Simos, T.E.1
Williams, P.S.2
-
35
-
-
0001590149
-
Bessel and Neuman-fitted methods for the numerical solution of the radial Schrodinger equation
-
T.E. Simos and P.S. Williams, Bessel and Neuman-fitted methods for the numerical solution of the radial Schrodinger equation, Computers & Chemistry 21, 175-179 (1997).
-
(1997)
Computers & Chemistry
, vol.21
, pp. 175-179
-
-
Simos, T.E.1
Williams, P.S.2
-
36
-
-
0002207932
-
Embedded methods for the numerical solution of the Schrodinger equation
-
G. Avdelas and T.E. Simos, Embedded methods for the numerical solution of the Schrodinger equation, Comput. Math. Applic. 31, 85-102 (1996).
-
(1996)
Comput. Math. Applic.
, vol.31
, pp. 85-102
-
-
Avdelas, G.1
Simos, T.E.2
-
37
-
-
0000647840
-
An explicit eighth order method with minimal phase-lag for accurate computations of eigenvalues, resonances and phase shifts
-
T.E. Simos and G. Tougelidis, An explicit eighth order method with minimal phase-lag for accurate computations of eigenvalues, resonances and phase shifts, Computers & Chemistry 21, 327-334 (1997).
-
(1997)
Computers & Chemistry
, vol.21
, pp. 327-334
-
-
Simos, T.E.1
Tougelidis, G.2
-
38
-
-
0016971912
-
Solving nonstiff ordinary differential equations-The state of the art
-
L.F. Shampine, H.A. Watts, and S.M. Davenport, Solving nonstiff ordinary differential equations-The state of the art, SIAM Rev. 18, 376-411 (1976).
-
(1976)
SIAM Rev.
, vol.18
, pp. 376-411
-
-
Shampine, L.F.1
Watts, H.A.2
Davenport, S.M.3
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