-
3
-
-
85050199002
-
-
I. Prigogine, S. Rice (Eds.). Advances in Chemical Physics 93: New Methods in Computational Quantum Mechanics. Wiley. New York. 1997.
-
I. Prigogine, S. Rice (Eds.). Advances in Chemical Physics Vol. 93: New Methods in Computational Quantum Mechanics. Wiley. New York. 1997.
-
-
-
-
5
-
-
0013350031
-
Atomic Structure Computations
-
A. Hinchliffe Ed, The Royal Society of Chemistry. London
-
T. E. Simos, Atomic Structure Computations, in: A. Hinchliffe (Ed.). Chemical Modelling: Applications and Theory The Royal Society of Chemistry. London. 2000, pp. 38-142.
-
(2000)
Chemical Modelling: Applications and Theory
, pp. 38-142
-
-
Simos, T.E.1
-
6
-
-
58149270181
-
-
T. E. Simos, Numerical methods for 1D. 2D and 3D differential equations arising in chemical problems, in: A. Hinchliffe (Ed.). Chemical Modelling: Applications and Theory 2 The Royal Society of Chemistry. London. 2002, pp. 170-270.
-
T. E. Simos, Numerical methods for 1D. 2D and 3D differential equations arising in chemical problems, in: A. Hinchliffe (Ed.). Chemical Modelling: Applications and Theory 2 The Royal Society of Chemistry. London. 2002, pp. 170-270.
-
-
-
-
7
-
-
0001237676
-
On finite difference methods for the solution of the Schrödinger equation
-
T. E. Simos, 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
-
9
-
-
0000913326
-
On the Construction of exponentially-fitted methods for the numerical solution of the Schrodinger liquation
-
A. Konguetsof. T. E. Simos, On the Construction of exponentially-fitted methods for the numerical solution of the Schrodinger liquation. J. Camput. Meth. Sri. Engin. 1 (2001) 143-165.
-
(2001)
J. Camput. Meth. Sri. Engin
, vol.1
, pp. 143-165
-
-
Konguetsof, A.1
Simos, T.E.2
-
10
-
-
0002481902
-
Exponential - fitting methods for the numerical solution of the Schrödinger equation
-
A. D. Raptis, A. C. Allison, Exponential - fitting methods for the numerical solution of the Schrödinger equation, Comput. Phys. Commun. 14 (1978) 1-5.
-
(1978)
Comput. Phys. Commun
, vol.14
, pp. 1-5
-
-
Raptis, A.D.1
Allison, A.C.2
-
11
-
-
0001176928
-
Exponential multistep methods for ordinary differential equations
-
A. D. Raptis, Exponential multistep methods for ordinary differential equations, Bull. Greek Math. Soc. 25 (1984) 113-126.
-
(1984)
Bull. Greek Math. Soc
, vol.25
, pp. 113-126
-
-
Raptis, A.D.1
-
13
-
-
0002792006
-
A Numerov-like scheme for the numerical solution of the Schrödinger equation in the deep continuum spectrum of energies
-
L. G. Ixaru, 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.G.1
Rizea, M.2
-
14
-
-
0036341591
-
A new Runge-Kutta-Nystrom method with phase-lag of order infinity for the numerical solution of the Schrödinger equation
-
T. E. Simos, 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 (2002) 123-137.
-
(2002)
MATCH Commun. Math. Comput. Chem
, vol.45
, pp. 123-137
-
-
Simos, T.E.1
Williams, P.S.2
-
15
-
-
11044228176
-
Multiderivative methods for the numerical solution of the Schrödinger equation
-
T. E. Simos, Multiderivative methods for the numerical solution of the Schrödinger equation, MATCH Commun. Math. Comput. Chem. 45 (2004) 7-26.
-
(2004)
MATCH Commun. Math. Comput. Chem
, vol.45
, pp. 7-26
-
-
Simos, T.E.1
-
16
-
-
0000172670
-
Exponentially-fitted solutions of the eigenvalue Shrödinger equation with automatic error control
-
A. D. Raptis, Exponentially-fitted solutions of the eigenvalue Shrödinger equation with automatic error control, Comput. Phys. Commun. 28 (1983) 427-431.
-
(1983)
Comput. Phys. Commun
, vol.28
, pp. 427-431
-
-
Raptis, A.D.1
-
17
-
-
0002481899
-
On the numerical solution of the Schrödinger equation
-
A. D. Raptis, On the numerical solution of the Schrödinger equation, Comput. Phys. Commun. 24 (1981) 1-4.
-
(1981)
Comput. Phys. Commun
, vol.24
, pp. 1-4
-
-
Raptis, A.D.1
-
18
-
-
0040346415
-
A new Numerov-type method for computing eigenvalues and resonances of the radial Schrödinger equation
-
T. E. Simos, A new Numerov-type method for computing eigenvalues and resonances of the radial Schrödinger equation, Int. J. Mod. Phys. C 7 (1996) 33-41.
-
(1996)
Int. J. Mod. Phys. C
, vol.7
, pp. 33-41
-
-
Simos, T.E.1
-
19
-
-
84987141698
-
Predictor corrector phase-fitted methods for Y″=F(X,Y) and an application to the Schrödinger equation
-
T. E. Simos, Predictor corrector phase-fitted methods for Y″=F(X,Y) and an application to the Schrödinger equation, Int. J. Quantum Chem. 53 (1995) 473-483.
-
(1995)
Int. J. Quantum Chem
, vol.53
, pp. 473-483
-
-
Simos, T.E.1
-
20
-
-
84950431066
-
Some new Numerov-type methods with minimal phase-lag for the numerical-integration of the radial Schrodinger equation
-
T. E. Simos, G. Mousadis, Some new Numerov-type methods with minimal phase-lag for the numerical-integration of the radial Schrodinger equation, Mol. Phys. 83 (1994) 1145-1153.
-
(1994)
Mol. Phys
, vol.83
, pp. 1145-1153
-
-
Simos, T.E.1
Mousadis, G.2
-
21
-
-
0039754348
-
-
T. E. Simos, A Numerov-type method for the numerical-solution of the radial Schrödinger equation, Appl. Numer. Math/ 7 (1991) 201-206.
-
T. E. Simos, A Numerov-type method for the numerical-solution of the radial Schrödinger equation, Appl. Numer. Math/ 7 (1991) 201-206.
-
-
-
-
22
-
-
0345831862
-
High algebraic order methods with minimal phase-lag for accurate solution of the Schrödinger equation
-
T. E. Simos, High algebraic order methods with minimal phase-lag for accurate solution of the Schrödinger equation, Int. J. Mod. Phys. C 9 (1998) 1055-1071.
-
(1998)
Int. J. Mod. Phys. C
, vol.9
, pp. 1055-1071
-
-
Simos, T.E.1
-
23
-
-
0001590149
-
Bessel and Neumann-fitted methods for the numerical solution of the radial Schrödinger equation
-
T. E. Simos, P. S. Williams, Bessel and Neumann-fitted methods for the numerical solution of the radial Schrödinger equation, Comput. Chem. 21 (1997) 175-179.
-
(1997)
Comput. Chem
, vol.21
, pp. 175-179
-
-
Simos, T.E.1
Williams, P.S.2
-
24
-
-
0000335011
-
A 6th-order exponentially fitted method for the numerical-solution of the radial Schrödinger equation
-
J. R. Cash, A. D. Raptis, T. E. Simos. A 6th-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
-
25
-
-
0000168727
-
A 4-step method for the numerical-solution of the Schrödinger equation
-
T. E. Simos, A 4-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
-
26
-
-
30244570721
-
Some new 4-step exponential-fitting methods for the numerical-solution of the radial Schrödinger equation
-
T. E. Simos, Some new 4-step exponential-fitting methods for the numerical-solution of the radial Schrödinger equation. IMA J. Numer. Anal. 11 (1991) 347-356.
-
(1991)
IMA J. Numer. Anal
, vol.11
, pp. 347-356
-
-
Simos, T.E.1
-
27
-
-
0002207932
-
Embedded methods for the numerical solution of the Schrodinger equation
-
G. Avdelas, T. E. Simos, Embedded methods for the numerical solution of the Schrodinger equation. Comput. Math. Appl. 31 (1996) 85-102.
-
(1996)
Comput. Math. Appl
, vol.31
, pp. 85-102
-
-
Avdelas, G.1
Simos, T.E.2
-
28
-
-
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
-
29
-
-
0025596658
-
Numerov-type methods with minimal phase-lag for the numerical-integration of the one-dimensional Schrödinger equation
-
T. E. Simos, A. D. Raptis, Numerov-type methods with minimal phase-lag for the numerical-integration of the one-dimensional Schrödinger equation. Computing 45 (1990) 175-181.
-
(1990)
Computing
, vol.45
, pp. 175-181
-
-
Simos, T.E.1
Raptis, A.D.2
-
30
-
-
30244538518
-
A 2-step method with phase-lag of order infinity for the numerical-integration of 2nd-order periodic initial-value problem
-
T. E. Simos, A 2-step method with phase-lag of order infinity for the numerical-integration of 2nd-order periodic initial-value problem. Int. J. Comput. Math. 39 (1991) 135-140.
-
(1991)
Int. J. Comput. Math
, vol.39
, pp. 135-140
-
-
Simos, T.E.1
-
31
-
-
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
-
32
-
-
0001424633
-
A Numerov-type method for computing eigenvalues and resonances of the radial Schrödinger equation
-
bf 20 () 397-401
-
T. E. Simos, G. Tougelidis, A Numerov-type method for computing eigenvalues and resonances of the radial Schrödinger equation. Comput. Chem. bf 20 (1996) 397-401.
-
(1996)
Comput. Chem
-
-
Simos, T.E.1
Tougelidis, G.2
-
33
-
-
0002586288
-
Explicit 2-step methods with minimal phase-lag for the numerical-integration of special 2nd-order initial-value problems and their application to the one-dimensional Schrödinger-equation
-
T. E. Simos, Explicit 2-step methods with minimal phase-lag for the numerical-integration of special 2nd-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
-
34
-
-
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 (1996) 825-835.
-
(1996)
Int. J. Mod. Phys. C
, vol.7
, pp. 825-835
-
-
Simos, T.E.1
-
35
-
-
0030211501
-
A generator of high-order embedded P-stable methods for the numerical solution of the Schrödinger equation
-
G. Avdelas, T. E. Simos, A generator of high-order embedded P-stable methods for the numerical solution of the Schrödinger equation. J. Cornput. Appl. Math. 72 (1996) 345-358.
-
(1996)
J. Cornput. Appl. Math
, vol.72
, pp. 345-358
-
-
Avdelas, G.1
Simos, T.E.2
-
36
-
-
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. Commun. 115 (1998) 1-8.
-
(1998)
Comput. Phys. Commun
, vol.115
, pp. 1-8
-
-
Simos, T.E.1
-
37
-
-
0040440161
-
An explicit almost P-stable 2-step method with phase-lag of order infinity for the numerical-integration of 2nd-order periodic initial-value problems
-
T. E. Simos An explicit almost P-stable 2-step method with phase-lag of order infinity for the numerical-integration of 2nd-order periodic initial-value problems. Appl. Math. Comput. 49 (1992) 261-268.
-
(1992)
Appl. Math. Comput
, vol.49
, pp. 261-268
-
-
Simos, T.E.1
-
38
-
-
0032380346
-
An eighth order exponentially fitted method for the numerical solution of the Schrödinger equation
-
T. E. Simos, An eighth order exponentially fitted method for the numerical solution of the Schrödinger equation, Int. J. Mod. Phys. C 9 (1998) 271-288.
-
(1998)
Int. J. Mod. Phys. C
, vol.9
, pp. 271-288
-
-
Simos, T.E.1
-
39
-
-
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
-
40
-
-
0031357296
-
A family of hybrid exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation
-
R. M. Thomas, 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
-
41
-
-
0001590147
-
A family of Numerov-type exponentially fitted methods for the numerical integration of the Schrödinger equation
-
T. E. Simos, P. S. Williams, A family of Numerov-type exponentially fitted methods for the numerical integration of the Schrödinger equation, Comput. Chem. 21 (1997) 403-417.
-
(1997)
Comput. Chem
, vol.21
, pp. 403-417
-
-
Simos, T.E.1
Williams, P.S.2
-
42
-
-
0002209148
-
A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation
-
Z. Kalogiratou, T. E. Simos, A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation, Appl. Math. Comput. 112 (2000) 99-112.
-
(2000)
Appl. Math. Comput
, vol.112
, pp. 99-112
-
-
Kalogiratou, Z.1
Simos, T.E.2
-
43
-
-
77958409581
-
Symmetric multistep methods for periodic initial values problems
-
J. D. Lambert, I. A. Watson, Symmetric multistep methods for periodic initial values 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
-
44
-
-
0000926830
-
A four-step phase-fitted method for the numerical integration of second order initial-value problem
-
A. D. Raptis, T. E. Simos, A four-step phase-fitted method for the numerical integration of second order initial-value problem, Bit 31 (1991) 160-168.
-
(1991)
Bit
, vol.31
, pp. 160-168
-
-
Raptis, A.D.1
Simos, T.E.2
-
46
-
-
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 (1983) 541-542.
-
(1983)
Bit
, vol.23
, pp. 541-542
-
-
Chawla, M.M.1
-
48
-
-
30244503462
-
Comparison of some four-step methods for the numerical solution of the Schrödinger equation
-
L. G. Ixaru, M. Rizea, Comparison of some four-step methods for the numerical solution of the Schrödinger equation, Comput. Phys. Commun., 38 (1985) 329-337.
-
(1985)
Comput. Phys. Commun
, vol.38
, pp. 329-337
-
-
Ixaru, L.G.1
Rizea, M.2
-
49
-
-
33846421675
-
A family of exponentially-fitted Runge-Kutta methods with exponential order up to three for the numerical solution of the Schrödinger equation
-
Z. A. Anastassi, T. E. Simos, A family of exponentially-fitted Runge-Kutta methods with exponential order up to three for the numerical solution of the Schrödinger equation, J. Math. Chem. 41 (2007) 79-100.
-
(2007)
J. Math. Chem
, vol.41
, pp. 79-100
-
-
Anastassi, Z.A.1
Simos, T.E.2
-
50
-
-
33750286640
-
Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation
-
T. Monovasilis, Z. Kalogiratou, T. E. Simos, Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation, J. Math. Chem. 40 (2006) 257-267.
-
(2006)
J. Math. Chem
, vol.40
, pp. 257-267
-
-
Monovasilis, T.1
Kalogiratou, Z.2
Simos, T.E.3
-
51
-
-
33750356621
-
The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order predictor-corrector methods
-
G. Psihoyios, T. E. Simos, The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order predictor-corrector methods, J. Math. Chem. 40 (2006) 269-293.
-
(2006)
J. Math. Chem
, vol.40
, pp. 269-293
-
-
Psihoyios, G.1
Simos, T.E.2
-
52
-
-
33750373771
-
A four-step exponentially fitted method for the numerical solution of the Schrödinger equation
-
T. E. Simos, A four-step exponentially fitted method for the numerical solution of the Schrödinger equation, J. Math. Chem. 40 (2006) 305-318.
-
(2006)
J. Math. Chem
, vol.40
, pp. 305-318
-
-
Simos, T.E.1
-
53
-
-
17744387720
-
Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation
-
T. Monovasilis, Z. Kalogiratou, T. E. Simos, Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation J. Math. Chem. 37 (2005) 263-270.
-
(2005)
J. Math. Chem
, vol.37
, pp. 263-270
-
-
Monovasilis, T.1
Kalogiratou, Z.2
Simos, T.E.3
-
54
-
-
17744377181
-
Numerical solution of the two-dimensional time independent Schrödinger equation with Numerov-type methods
-
Z. Kalogiratou, T. Monovasilis, T. E. Simos, Numerical solution of the two-dimensional time independent Schrödinger equation with Numerov-type methods J. Math. Chem. 37 (2005) 271-279.
-
(2005)
J. Math. Chem
, vol.37
, pp. 271-279
-
-
Kalogiratou, Z.1
Monovasilis, T.2
Simos, T.E.3
-
55
-
-
17744361851
-
Trigonometrically fitted Runge-Kutta methods for the numerical solution of the Schrödinger equation J
-
Z. A. Anastassi, T. E. Simos, Trigonometrically fitted Runge-Kutta methods for the numerical solution of the Schrödinger equation J. Math. Chun. 37 (2005) 281-293.
-
(2005)
Math. Chun
, vol.37
, pp. 281-293
-
-
Anastassi, Z.A.1
Simos, T.E.2
-
56
-
-
17744398419
-
Sixth algebraic order trigonometrically fitted predictor-corrector methods for the numerical solution of the radial Schrödinger equation
-
G. Psihoyios, T. E. Simos, Sixth algebraic order trigonometrically fitted predictor-corrector methods for the numerical solution of the radial Schrödinger equation. J. Math. Chem. 37 (2005) 295 316.
-
(2005)
J. Math. Chem
, vol.37
, pp. 295-316
-
-
Psihoyios, G.1
Simos, T.E.2
-
57
-
-
17744365569
-
A family of multiderivative methods for the numerical solution of the Schrödinger equation
-
D. P. Sakas, T. E. Simos, A family of multiderivative methods for the numerical solution of the Schrödinger equation. J. Math. Chem. 37 (2005) 317-331.
-
(2005)
J. Math. Chem
, vol.37
, pp. 317-331
-
-
Sakas, D.P.1
Simos, T.E.2
-
58
-
-
3543013740
-
Exponentially-fitted multiderivative methods for the numerical solution of the Schrödinger equation
-
T. E. Simos, Exponentially-fitted multiderivative methods for the numerical solution of the Schrödinger equation. J. Math. Chem. 36 (2004) 13-27.
-
(2004)
J. Math. Chem
, vol.36
, pp. 13-27
-
-
Simos, T.E.1
-
59
-
-
3542994480
-
Symplectic methods of fifth order for the numerical solution of the radial Shrödinger equation
-
K. Tselios, T. E. Simos, Symplectic methods of fifth order for the numerical solution of the radial Shrödinger equation. J. Math. Chem. 35 (200-1) 55-63.
-
J. Math. Chem
, vol.35
, Issue.200-201
, pp. 55-63
-
-
Tselios, K.1
Simos, T.E.2
-
60
-
-
1642456496
-
A family of trigonometrically-fitted symmetric methods for the efficient solution of the Schrödinger equation and related problems
-
T. E. Simos, A family of trigonometrically-fitted symmetric methods for the efficient solution of the Schrödinger equation and related problems J. Math. Chem. 34 (2003) 39-58.
-
(2003)
J. Math. Chem
, vol.34
, pp. 39-58
-
-
Simos, T.E.1
-
61
-
-
1642456494
-
Symplectic methods for the numerical solution of the radial Shrödinger equation
-
K. Tselios, T. E. Simos, Symplectic methods for the numerical solution of the radial Shrödinger equation, J. Math. Chem. 34 (2003) 83-94.
-
(2003)
J. Math. Chem
, vol.34
, pp. 83-94
-
-
Tselios, K.1
Simos, T.E.2
-
62
-
-
0141831831
-
Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation
-
J. Vigo-Aguiar, J. T. E. Simos, Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation. J. Math. Chem. 32 (2002) 257-270.
-
(2002)
J. Math. Chem
, vol.32
, pp. 257-270
-
-
Vigo-Aguiar, J.1
Simos, J.T.E.2
-
63
-
-
0141608674
-
New P-stable eighth algebraic order exponentially-fitted methods for the numerical integration of the Schrödinger equation
-
G. Avdelas, E. Kefalidis. T. E. Simos. New P-stable eighth algebraic order exponentially-fitted methods for the numerical integration of the Schrödinger equation, J. Math. Chem. 31 (2002) 371-404.
-
(2002)
J. Math. Chem
, vol.31
, pp. 371-404
-
-
Avdelas, G.1
Kefalidis, E.2
Simos, T.E.3
-
64
-
-
0036485707
-
Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation
-
T. E. Simos, J. Vigo-Aguiar, Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation J. Math. Chem. 31 (2002) 135-144.
-
(2002)
J. Math. Chem
, vol.31
, pp. 135-144
-
-
Simos, T.E.1
Vigo-Aguiar, J.2
-
65
-
-
0036485703
-
Construction of trigonometrically and exponentially fitted Runge-Kutta-Nystrom methods for the numerical solution of the Schrödinger equation and related problems a method of 8th algebraic order
-
Z. Kalogiratou, T. E. Simos, Construction of trigonometrically and exponentially fitted Runge-Kutta-Nystrom methods for the numerical solution of the Schrödinger equation and related problems a method of 8th algebraic order. J. Math. Chem. 31 (2002) 211-232.
-
(2002)
J. Math. Chem
, vol.31
, pp. 211-232
-
-
Kalogiratou, Z.1
Simos, T.E.2
-
66
-
-
0035384934
-
-
T. E. Simos, J. Vigo-Aguiar, A modified phase-fit ted Runge-Kutta method for the numerical solution (of the Schrödinger equation. J. Math. Chem. 30 (2001) 121 -131.
-
T. E. Simos, J. Vigo-Aguiar, A modified phase-fit ted Runge-Kutta method for the numerical solution (of the Schrödinger equation. J. Math. Chem. 30 (2001) 121 -131.
-
-
-
-
67
-
-
0035539374
-
-
[67 G. Avdelas, A. Konguetsof, T. E. Simos, A generator and an optimized generator of high-order hybrid explicit methods for the numerical solution of the Schrödinger equation. Part 1. Development of the basic method, J. Math. Chem. 29 (2001) 281-291.
-
[67) G. Avdelas, A. Konguetsof, T. E. Simos, A generator and an optimized generator of high-order hybrid explicit methods for the numerical solution of the Schrödinger equation. Part 1. Development of the basic method, J. Math. Chem. 29 (2001) 281-291.
-
-
-
-
68
-
-
0035539372
-
A generator and an optimized generator of high-order hybrid explicit methods for the numerical solution of the Schrödinger equation. Part 2. Development of the generator; optimization of the generator and numerical results
-
68
-
[68J G. Avdelas, A. Konguetsof, T. E. Simos, A generator and an optimized generator of high-order hybrid explicit methods for the numerical solution of the Schrödinger equation. Part 2. Development of the generator; optimization of the generator and numerical results, J. Math. Chem. 29 (2001) 293-305.
-
(2001)
J. Math. Chem
, vol.29
, pp. 293-305
-
-
Avdelas, J.G.1
Konguetsof, A.2
Simos, T.E.3
-
69
-
-
0035315407
-
A family of P-stable eighth algebraic order methods with exponential fitting facilities
-
J. Vigo-Aguiar, T. E. Simos, A family of P-stable eighth algebraic order methods with exponential fitting facilities, J. Math. Chem. 29 (2001) 177-189.
-
(2001)
J. Math. Chem
, vol.29
, pp. 177-189
-
-
Vigo-Aguiar, J.1
Simos, T.E.2
-
70
-
-
0034338028
-
A new explicit Bessel and Neumann fitted eighth algebraic order method for the numerical solution of the Schrödinger equation
-
T. E. Simos, A new explicit Bessel and Neumann fitted eighth algebraic order method for the numerical solution of the Schrödinger equation J. Math. Chem. 27 (2000) 343-356.
-
(2000)
J. Math. Chem
, vol.27
, pp. 343-356
-
-
Simos, T.E.1
-
71
-
-
0033114512
-
Embedded eighth order methods for the numerical solution of the Schrödinger equation
-
G. Avdelas, T. E. Simos, Embedded eighth order methods for the numerical solution of the Schrödinger equation, J. Math. Chem. 26 (1999) 327-341.
-
(1999)
J. Math. Chem
, vol.26
, pp. 327-341
-
-
Avdelas, G.1
Simos, T.E.2
-
72
-
-
0033429763
-
A family of P-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation
-
T. E. Simos, A family of P-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation, J. Math. Chem. 25 (1999) 65-84.
-
(1999)
J. Math. Chem
, vol.25
, pp. 65-84
-
-
Simos, T.E.1
-
73
-
-
0039065106
-
Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations
-
T. E. Simos, Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations, J. Math. Chem. 24 (1998) 23-37.
-
(1998)
J. Math. Chem
, vol.24
, pp. 23-37
-
-
Simos, T.E.1
-
74
-
-
0031326292
-
Eighth order methods with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem
-
T. E. Simos, Eighth order methods with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem, J. Math. Chem. 21 (1997) 359-372.
-
(1997)
J. Math. Chem
, vol.21
, pp. 359-372
-
-
Simos, T.E.1
-
76
-
-
33846400845
-
Lobatto-Obrechkoff formulae for 2nd order two-point boundary value problems
-
S. D. Capper, J. R. Cash, D. R. Moore, Lobatto-Obrechkoff formulae for 2nd order two-point boundary value problems, J. Numer. Anal. Indust. Appl. Math. 1 (2006) 13-25.
-
(2006)
J. Numer. Anal. Indust. Appl. Math
, vol.1
, pp. 13-25
-
-
Capper, S.D.1
Cash, J.R.2
Moore, D.R.3
-
77
-
-
35348846610
-
On high order MIRK schemes and Hermite-Birkhoff interpolants
-
S. D. Capper, D. R. Moore, On high order MIRK schemes and Hermite-Birkhoff interpolants, J. Numer. Anal. Indust. Appl. Math. 1 (2006) 27-47.
-
(2006)
J. Numer. Anal. Indust. Appl. Math
, vol.1
, pp. 27-47
-
-
Capper, S.D.1
Moore, D.R.2
-
78
-
-
35348924948
-
The derivation of interpolants for nonlinear two-point boundary value problems
-
J. R. Cash, N. Sumarti, T. J. Abdulla, I. Vieira, The derivation of interpolants for nonlinear two-point boundary value problems, J. Numer. Anal. Indust. Appl. Math. 1 (2006) 49-58.
-
(2006)
J. Numer. Anal. Indust. Appl. Math
, vol.1
, pp. 49-58
-
-
Cash, J.R.1
Sumarti, N.2
Abdulla, T.J.3
Vieira, I.4
-
79
-
-
84946899933
-
Variable step Runge-Kutta-Nystrom methods for the numerical solution of reversible systems
-
J. R. Cash, S. Girdlestone, Variable step Runge-Kutta-Nystrom methods for the numerical solution of reversible systems, J. Numer. Anal. Indust. Appl. Math. 1 (2006) 59-80.
-
(2006)
J. Numer. Anal. Indust. Appl. Math
, vol.1
, pp. 59-80
-
-
Cash, J.R.1
Girdlestone, S.2
-
80
-
-
48349113977
-
-
.1. R. Cash, F. Mazzia, Hybrid mesh selection algorithms based on conditioning for two-point boundary value problems. J. Numer. Anal. Indust. Appl. Math. 1 (2006) 81-90.
-
.1. R. Cash, F. Mazzia, Hybrid mesh selection algorithms based on conditioning for two-point boundary value problems. J. Numer. Anal. Indust. Appl. Math. 1 (2006) 81-90.
-
-
-
-
82
-
-
35348858669
-
Discrete conservative vector fields induced by the trapezoidal method
-
F. Iavernaro, D. Trigiante, Discrete conservative vector fields induced by the trapezoidal method. J. Numer. Anal. Indust. Appl. Math. 1 l(2006) 13-130.
-
(2006)
J. Numer. Anal. Indust. Appl. Math
, vol.1
, Issue.L
, pp. 13-130
-
-
Iavernaro, F.1
Trigiante, D.2
-
87
-
-
33846374833
-
A block implicit advanced step-point (BIAS) algorithm for stiff differential systems
-
G. Psihoyios, A block implicit advanced step-point (BIAS) algorithm for stiff differential systems. Comput. Lett. 2 (2006) 51-58.
-
(2006)
Comput. Lett
, vol.2
, pp. 51-58
-
-
Psihoyios, G.1
-
88
-
-
48349127709
-
On the use of arc length and defect for mesh selection for differential equations
-
W. H. Enright, On the use of arc length and defect for mesh selection for differential equations. Comput. Lett. 1 (2005)47 52.
-
(2005)
Comput. Lett
, vol.1
, pp. 47-52
-
-
Enright, W.H.1
-
89
-
-
30344464634
-
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. Comput. Lett. 1 (2005) 37-45.
-
(2005)
Comput. Lett
, vol.1
, pp. 37-45
-
-
Simos, T.E.1
-
90
-
-
34249905635
-
Stabilization of a four-step exponentially-fitted method and its application to the Schrödinger equation
-
T. E. Simos, Stabilization of a four-step exponentially-fitted method and its application to the Schrödinger equation. Int. J. Mod. Phys. C 18 (2007) 315-328.
-
(2007)
Int. J. Mod. Phys. C
, vol.18
, pp. 315-328
-
-
Simos, T.E.1
-
91
-
-
24644444204
-
P-stable linear symmetric multistep methods for periodic initial-value problems
-
Z. Wang, P-stable linear symmetric multistep methods for periodic initial-value problems. Comput. Phys. Commun. 171 (2005) 162 174.
-
(2005)
Comput. Phys. Commun
, vol.171
, pp. 162-174
-
-
Wang, Z.1
-
92
-
-
48349083727
-
A family of four-step trigonomterically-fitted methods and its application to the Schrödinger equation
-
in press
-
T. E. Simos, A family of four-step trigonomterically-fitted methods and its application to the Schrödinger equation, J. Math. Chem., in press.
-
J. Math. Chem
-
-
Simos, T.E.1
|