-
1
-
-
0002207932
-
Embedded methods for the numerical soluiton of the Schrödinger equation
-
G. Avdelas and T.E. Simos, Embedded methods for the numerical soluiton of the Schrödinger equation, Comput. Math. Appl. 31 (1996) 85-102.
-
(1996)
Comput. Math. Appl.
, vol.31
, pp. 85-102
-
-
Avdelas, G.1
Simos, T.E.2
-
2
-
-
0034229908
-
Dissipative high phase-lag order Numerov-type methods for the numerical solution of the Schrödinger equation
-
G. Avdelas and T.E. Simos, Dissipative high phase-lag order Numerov-type methods for the numerical solution of the Schrödinger equation, Phys. Rev. E. 62 (2000) 1375-1381.
-
(2000)
Phys. Rev. E.
, vol.62
, pp. 1375-1381
-
-
Avdelas, G.1
Simos, T.E.2
-
3
-
-
84968496738
-
Implicit Runge-Kutta processes
-
J.C. Butcher, Implicit Runge-Kutta processes, Math. Comp. 18 (1964) 50-64.
-
(1964)
Math. Comp.
, vol.18
, pp. 50-64
-
-
Butcher, J.C.1
-
4
-
-
84958480009
-
On Runge-Kutta processes of high order
-
J.C. Butcher, On Runge-Kutta processes of high order, J. Austral. Math. Soc. 4 (1964) 179-194.
-
(1964)
J. Austral. Math. Soc.
, vol.4
, pp. 179-194
-
-
Butcher, J.C.1
-
5
-
-
0021578695
-
Numerov-type method with minimal phase lag for the integration of second order periodic initial value problems
-
M.M. Chawla and P.S. Rao, Numerov-type method with minimal phase lag for the integration of second order periodic initial value problems, J. Comput. Appl. Math. 11 (1984) 277-281.
-
(1984)
J. Comput. Appl. Math.
, vol.11
, pp. 277-281
-
-
Chawla, M.M.1
Rao, P.S.2
-
6
-
-
0022752603
-
Numerov type method with minimal phase lag for the integration of second order periodic initial value problems 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 problems 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
-
7
-
-
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. 17 (1987) 365-368.
-
(1987)
J. Comput. Appl. Math.
, vol.17
, pp. 365-368
-
-
Chawla, M.M.1
Rao, P.S.2
-
8
-
-
0003997447
-
Classical eighth and lower order Runge-Kutta-Nyström formulas with stepsize control for special second order differential equations
-
G.C. Marsal Space Flight Center, Alabama
-
E. Fehlberg, Classical eighth and lower order Runge-Kutta-Nyström formulas with stepsize control for special second order differential equations, NASA Technical Report TR R-381, G.C. Marsal Space Flight Center, Alabama (1972).
-
(1972)
NASA Technical Report
, vol.TR R-381
-
-
Fehlberg, E.1
-
9
-
-
0003589989
-
-
Springer, Berlin
-
E. Hairer, S.P. Norsett and G. Wanner, Solving Ordinary Differential Equations, Vol. I (Springer, Berlin, 1987).
-
(1987)
Solving Ordinary Differential Equations
, vol.1
-
-
Hairer, E.1
Norsett, S.P.2
Wanner, G.3
-
10
-
-
0023366337
-
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions
-
P.J. Van Der Houwen and B.P. Sommeijer, Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions, SIAM J. Numer. Anal. 24 (1987) 595-617.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 595-617
-
-
Van Der Houwen, P.J.1
Sommeijer, B.P.2
-
11
-
-
0000417289
-
A sixth order P-stable symmetric multistep method for periodic initial value problems of second order differential equations
-
R.K. Jain, N.S. Kambo and R. Goel, A sixth order P-stable symmetric multistep method for periodic initial value problems of second order differential equations, IMA J. Numer. Anal. 4 (1984) 117-125.
-
(1984)
IMA J. Numer. Anal.
, vol.4
, pp. 117-125
-
-
Jain, R.K.1
Kambo, N.S.2
Goel, R.3
-
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. Appl. 18 (1976) 189-202.
-
(1976)
J. Inst. Math. Appl.
, vol.18
, pp. 189-202
-
-
Lambert, J.D.1
Watson, I.A.2
-
15
-
-
0035622406
-
Explicit Numerov-type methods for second order IVPs with oscillating solutions
-
G. Papageorgiou, C. Tsitouras and I.T. Famelis, Explicit Numerov-type methods for second order IVPs with oscillating solutions, Internat. J. Modern Phys. C 12 (2001) 657-666.
-
(2001)
Internat. J. Modern Phys. C
, vol.12
, pp. 657-666
-
-
Papageorgiou, G.1
Tsitouras, C.2
Famelis, I.T.3
-
16
-
-
0033297038
-
High algebraic order, high phase-lag order Runge-Kutta and Nyström pairs
-
S.N. Papakostas and C. Tsitouras, High algebraic order, high phase-lag order Runge-Kutta and Nyström pairs, SIAM J. Sci. Comput. 21 (1999) 747-763.
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 747-763
-
-
Papakostas, S.N.1
Tsitouras, C.2
-
18
-
-
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 Schrödinger 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 Schrödinger equation, J. Comput. Appl. Math. 39 (1992) 89-94.
-
(1992)
J. Comput. Appl. Math.
, vol.39
, pp. 89-94
-
-
Simos, T.E.1
-
19
-
-
0031505794
-
Eighth-order methods for elastic scattering phase shifts
-
T.E. Simos, Eighth-order methods for elastic scattering phase shifts, Internat. J. Theoret. Phys. 36 (1997) 663-672.
-
(1997)
Internat. J. Theoret. Phys.
, vol.36
, pp. 663-672
-
-
Simos, T.E.1
-
20
-
-
0001292353
-
Dissipative high phase-lag order Numerov-type methods for the numerical solution of the Schrödinger equation
-
T.E. Simos, Dissipative high phase-lag order Numerov-type methods for the numerical solution of the Schrödinger equation, Comput. Chem. 23 (1999) 439-446.
-
(1999)
Comput. Chem.
, vol.23
, pp. 439-446
-
-
Simos, T.E.1
-
21
-
-
0033148222
-
Explicit eighth-order methods for the numerical integration of initial value problems with periodic or oscillating solutions
-
T.E. Simos, Explicit eighth-order methods for the numerical integration of initial value problems with periodic or oscillating solutions, Comput. Phys. Commun. 119 (1999) 32-44.
-
(1999)
Comput. Phys. Commun.
, vol.119
, pp. 32-44
-
-
Simos, T.E.1
-
23
-
-
0001237676
-
On finite difference methods for the solution of the Schrödinger equation
-
T.E. Simos and P.S. Williams, On finite difference methods for the solution of the Schrödinger equation, Comput. Chem. 23 (1999) 513-554.
-
(1999)
Comput. Chem.
, vol.23
, pp. 513-554
-
-
Simos, T.E.1
Williams, P.S.2
-
24
-
-
0034744662
-
New insights in the development of Numerov-type methods with minimal phase-lag for he numerical solution of the Schrödinger equation
-
T.E. Simos and P.S. Williams, New insights in the development of Numerov-type methods with minimal phase-lag for he numerical solution of the Schrödinger equation, Comput. Chem. 25 (2001) 77-82.
-
(2001)
Comput. Chem.
, vol.25
, pp. 77-82
-
-
Simos, T.E.1
Williams, P.S.2
-
25
-
-
0031357296
-
A family of hybrid exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation
-
R.M. Thomas and T.E. Simos, A family of hybrid exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation, J. Comput. Appl. Math. 87 (1997) 215-226.
-
(1997)
J. Comput. Appl. Math.
, vol.87
, pp. 215-226
-
-
Thomas, R.M.1
Simos, T.E.2
-
26
-
-
0002757148
-
A parameter study of a Runge-Kutta pair of orders 6(5)
-
C. Tsitouras, A parameter study of a Runge-Kutta pair of orders 6(5), Appl. Math. Lett. 11 (1998) 65-69.
-
(1998)
Appl. Math. Lett.
, vol.11
, pp. 65-69
-
-
Tsitouras, C.1
-
27
-
-
0036130788
-
Neural networks with multidimensional transfer functions
-
C. Tsitouras, Neural networks with multidimensional transfer functions, IEEE Trans. Neural Networks 13 (2002) 222-228.
-
(2002)
IEEE Trans. Neural Networks
, vol.13
, pp. 222-228
-
-
Tsitouras, C.1
-
28
-
-
0037287868
-
Explicit Numerov-type methods with reduced number of stages
-
C. Tsitouras, Explicit Numerov-type methods with reduced number of stages, Comput. Math. Appl. 45 (2003) 37-42.
-
(2003)
Comput. Math. Appl.
, vol.45
, pp. 37-42
-
-
Tsitouras, C.1
-
30
-
-
0033294722
-
Cheap error estimation for Runge-Kutta methods
-
C. Tsitouras and S.N. Papakostas, Cheap error estimation for Runge-Kutta methods, SIAM J. Sci. Comput. 20 (1999) 2067-2088.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 2067-2088
-
-
Tsitouras, C.1
Papakostas, S.N.2
-
31
-
-
0002746287
-
Explicit high order methods for the numerical integration of periodic initial value problems
-
C. Tsitouras and T.E. Simos, Explicit high order methods for the numerical integration of periodic initial value problems, Appl. Math. Comput. 95 (1998) 15-26.
-
(1998)
Appl. Math. Comput.
, vol.95
, pp. 15-26
-
-
Tsitouras, C.1
Simos, T.E.2
-
32
-
-
0001418178
-
Stabilization of Cowell's classical finite difference methods for numerical integration
-
R. van Dooren, Stabilization of Cowell's classical finite difference methods for numerical integration, J. Comput. Phys. 16 (1974) 186-192.
-
(1974)
J. Comput. Phys.
, vol.16
, pp. 186-192
-
-
Van Dooren, R.1
|