-
1
-
-
2542474478
-
A Mathematica program for the two-step twelfth-order method with multi-derivative for the numerical solution of a one-dimensional Schrödinger equation
-
Z. Wang, Y. Ge, Y. Dai, and D. Zhao A Mathematica program for the two-step twelfth-order method with multi-derivative for the numerical solution of a one-dimensional Schrödinger equation Comput. Phys. Comm. 160 2004 23 45
-
(2004)
Comput. Phys. Comm.
, vol.160
, pp. 23-45
-
-
Wang, Z.1
Ge, Y.2
Dai, Y.3
Zhao, D.4
-
2
-
-
0019697924
-
Two-step fourth-order P-stable methods for second order differential equations
-
M.M. Chawla Two-step fourth-order P-stable methods for second order differential equations BIT 21 1981 190 193
-
(1981)
BIT
, vol.21
, pp. 190-193
-
-
Chawla, M.M.1
-
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 1984 277 281
-
(1984)
J. Comput. Appl. Math.
, vol.11
, pp. 277-281
-
-
Chawla, M.M.1
Rao, P.S.2
-
4
-
-
0002481902
-
Exponential-fitting methods for the numerical solution of the Schrödinger equation
-
A. Raptis, and A.C. Allison Exponential-fitting methods for the numerical solution of the Schrödinger equation Comput. Phys. Comm. 14 1978 1 5
-
(1978)
Comput. Phys. Comm.
, vol.14
, pp. 1-5
-
-
Raptis, A.1
Allison, A.C.2
-
5
-
-
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. Comm. 19 1980 23 27
-
(1980)
Comput. Phys. Comm.
, vol.19
, pp. 23-27
-
-
Ixaru, L.Gr.1
Rizea, M.2
-
6
-
-
0000926830
-
A four-step phase-fitted method for the numerical integration of the Schrödinger equation
-
A.D. Raptis, and T.E. Simos A four-step phase-fitted method for the numerical integration of the Schrödinger equation BIT 31 1991 160 168
-
(1991)
BIT
, vol.31
, pp. 160-168
-
-
Raptis, A.D.1
Simos, T.E.2
-
7
-
-
0002779398
-
Exponential and Bessel fitting methods for the numerical integration of the Schrödinger equation
-
A.D. Raptis, and J.R. Cash Exponential and Bessel fitting methods for the numerical integration of the Schrödinger equation Comput. Phys. Comm. 44 1987 95 103
-
(1987)
Comput. Phys. Comm.
, vol.44
, pp. 95-103
-
-
Raptis, A.D.1
Cash, J.R.2
-
8
-
-
0000132696
-
Numerical integration of ordinary differential equations based on trigonometric polynoms
-
W. Gautschi Numerical integration of ordinary differential equations based on trigonometric polynoms Numer. Math. 3 1961 381 397
-
(1961)
Numer. Math.
, vol.3
, pp. 381-397
-
-
Gautschi, W.1
-
9
-
-
34250466523
-
Chebyshevian multistep methods for ordinary differential equations
-
T. Lyche Chebyshevian multistep methods for ordinary differential equations Numer. Math. 19 1972 65 75
-
(1972)
Numer. Math.
, vol.19
, pp. 65-75
-
-
Lyche, T.1
-
10
-
-
0034392111
-
Exponentially fitted Runge-Kutta fourth algebraic order methods for the numerical solution of the Schrödinger equation and related problems
-
P.S. Williams, and T.E. Simos Exponentially fitted Runge-Kutta fourth algebraic order methods for the numerical solution of the Schrödinger equation and related problems Int. J. Modern Phys. C 11 2000 785 807
-
(2000)
Int. J. Modern Phys. C
, vol.11
, pp. 785-807
-
-
Williams, P.S.1
Simos, T.E.2
-
11
-
-
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. Modern Phys. C 11 2000 1115 1133
-
(2000)
Int. J. Modern Phys. C
, vol.11
, pp. 1115-1133
-
-
Simos, T.E.1
-
12
-
-
0034274825
-
An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems
-
G. Avdelas, T.E. Simos, and J. Vigo-Aguiar An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems Comput. Phys. Comm. 131 2000 52 67
-
(2000)
Comput. Phys. Comm.
, vol.131
, pp. 52-67
-
-
Avdelas, G.1
Simos, T.E.2
Vigo-Aguiar, J.3
-
13
-
-
0035541118
-
A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation
-
T.E. Simos A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation IMA J. Numer. Anal. 21 2001 919 931
-
(2001)
IMA J. Numer. Anal.
, vol.21
, pp. 919-931
-
-
Simos, T.E.1
-
14
-
-
0034744534
-
A modified Runge-Kutta 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 modified Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems Comput. Chem. 25 2001 275 281
-
(2001)
Comput. Chem.
, vol.25
, pp. 275-281
-
-
Simos, T.E.1
Vigo Aguiar, J.2
-
15
-
-
0032300656
-
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
-
T.E. Simos An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions Comput. Phys. Comm. 115 1998 1 8
-
(1998)
Comput. Phys. Comm.
, vol.115
, pp. 1-8
-
-
Simos, T.E.1
-
16
-
-
0000825514
-
Runge-Kutta algorithms for oscillatory problems
-
D.G. Bettis Runge-Kutta algorithms for oscillatory problems J. Appl. Math. Phys. (ZAMP) 30 1979 699 704
-
(1979)
J. Appl. Math. Phys. (ZAMP)
, vol.30
, pp. 699-704
-
-
Bettis, D.G.1
-
17
-
-
0023366337
-
Explicit Runge-Kutta(-Nyström) methods with reduced phase errors for computing oscillating solution
-
P.J. Van der Houwen, and B.P. Sommeijer Explicit Runge-Kutta(- Nyström) methods with reduced phase errors for computing oscillating solution 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
-
19
-
-
0000688555
-
Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems
-
P.J. Van der Houwen, and B.P. Sommeijer Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems SIAM J. Numer. Anal. 26 1989 414 429
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 414-429
-
-
Van Der Houwen, P.J.1
Sommeijer, B.P.2
-
20
-
-
0013397128
-
A modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutions
-
T.E. Simos A modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutions Appl. Math. Lett. 9 1996 61 66
-
(1996)
Appl. Math. Lett.
, vol.9
, pp. 61-66
-
-
Simos, T.E.1
-
21
-
-
0032183736
-
Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based in trigonometric polynomials
-
B. Paternoster Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based in trigonometric polynomials Appl. Numer. Math. 28 1998 401 412
-
(1998)
Appl. Numer. Math.
, vol.28
, pp. 401-412
-
-
Paternoster, B.1
-
22
-
-
0034512338
-
Mixed collocation methods for y ″ = f (x, y)
-
J.P. Coleman, and S.C. Duxbury Mixed collocation methods for y ″ = f (x, y) J. Comp. Appl. Math. 126 2000 47 75
-
(2000)
J. Comp. Appl. Math.
, vol.126
, pp. 47-75
-
-
Coleman, J.P.1
Duxbury, S.C.2
-
24
-
-
0034509539
-
A phase-fitted collocation based Runge-Kutta(-Nyström) method
-
B. Paternoster A phase-fitted collocation based Runge-Kutta(- Nyström) method Appl. Numer. Math. 28 2000 339 355
-
(2000)
Appl. Numer. Math.
, vol.28
, pp. 339-355
-
-
Paternoster, B.1
-
25
-
-
0040531663
-
A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
-
A.B. González, P. Martín, and J.M. Farto A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators Numer. Math. 82 1999 635 646
-
(1999)
Numer. Math.
, vol.82
, pp. 635-646
-
-
González, A.B.1
Martín, P.2
Farto, J.M.3
-
26
-
-
0036679951
-
New methods for oscillatory problems based on classical codes
-
A. García, P. Martín, and A.B. González New methods for oscillatory problems based on classical codes Appl. Numer. Math. 42 2002 141 157
-
(2002)
Appl. Numer. Math.
, vol.42
, pp. 141-157
-
-
García, A.1
Martín, P.2
González, A.B.3
-
27
-
-
0036719933
-
Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
-
J.M. Franco Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators Comput. Phys. Comm. 147 2002 770 787
-
(2002)
Comput. Phys. Comm.
, vol.147
, pp. 770-787
-
-
Franco, J.M.1
-
28
-
-
0004317158
-
-
second ed. Springer-Verlag Berlin, Heidelberg, New York
-
E. Hairer, S.P. Nørsett, and G. Wanner Solving Ordinary Differential Equations I, Nonstiff Problems second ed. 1993 Springer-Verlag Berlin, Heidelberg, New York
-
(1993)
Solving Ordinary Differential Equations I, Nonstiff Problems
-
-
Hairer, E.1
Nørsett, S.P.2
Wanner, G.3
-
31
-
-
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
-
32
-
-
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
|