-
2
-
-
0032498043
-
Magnus and Fer expansions for matrix differential equations: The convergence problem
-
Blanes S, Casas F, Oteo J A and Ros J 1998 Magnus and Fer expansions for matrix differential equations: the convergence problem J. Phys. A: Math. Gen. 22 259-68
-
(1998)
J. Phys. A: Math. Gen.
, vol.31
, Issue.1
, pp. 259-268
-
-
Blanes, S.1
Casas, F.2
Oteo, J.A.3
Ros, J.4
-
4
-
-
0001292617
-
Improved high order integrators based on the Magnus expansion
-
Blanes S, Casas F and Ros J 2000 Improved high order integrators based on the Magnus expansion BIT 40 434-50
-
(2000)
BIT
, vol.40
, Issue.3
, pp. 434-450
-
-
Blanes, S.1
Casas, F.2
Ros, J.3
-
5
-
-
0013364797
-
High order optimized geometric integrators for linear differential equations
-
Blanes S, Casas F and Ros J 2002 High order optimized geometric integrators for linear differential equations BIT 42 262-84
-
(2002)
BIT
, vol.42
, Issue.2
, pp. 262-284
-
-
Blanes, S.1
Casas, F.2
Ros, J.3
-
6
-
-
0000819022
-
Recursion formulas for the Lie integral
-
Chacon R V and Fomenko A T 1991 Recursion formulas for the Lie integral Adv. Math. 88 200-57
-
(1991)
Adv. Math.
, vol.88
, Issue.2
, pp. 200-257
-
-
Chacon, R.V.1
Fomenko, A.T.2
-
8
-
-
0000352005
-
L'application exponentielle dans les groupes de Lie résolubles
-
Dixmier J 1957 L'application exponentielle dans les groupes de Lie résolubles Bull. Soc. Math. France 85 113-21
-
(1957)
Bull. Soc. Math. France
, vol.85
, pp. 113-121
-
-
Dixmier, J.1
-
10
-
-
0039300310
-
On the convergence of the Magnus expansion for spin systems in periodic magnetic fields
-
Fel'dman E B 1984 On the convergence of the Magnus expansion for spin systems in periodic magnetic fields Phys. Lett. A 104 479-81
-
(1984)
Phys. Lett.
, vol.104
, Issue.9
, pp. 479-481
-
-
Fel'Dman, E.B.1
-
12
-
-
0001249155
-
Note on the derivatives with respect to a parameter of the solutions of a system of differential equation
-
Gronwall T H 1919 Note on the derivatives with respect to a parameter of the solutions of a system of differential equation Ann. Math. 20 292-6
-
(1919)
Ann. Math.
, vol.20
, Issue.4
, pp. 292-296
-
-
Gronwall, T.H.1
-
16
-
-
0346968523
-
On the solution of linear differential equations in Lie groups
-
Iserles A and Nørsett S P 1999 On the solution of linear differential equations in Lie groups Phil. Trans. R. Soc. A 357 983-1019
-
(1999)
Phil. Trans. R. Soc.
, vol.357
, Issue.1754
, pp. 983-1019
-
-
Iserles, A.1
Nørsett, S.P.2
-
17
-
-
0346516514
-
Infinite products and T products of exponentials
-
Karasev M V and Mosolova M V 1977 Infinite products and T products of exponentials J. Theor. Math. Phys. 28 721-30
-
(1977)
J. Theor. Math. Phys.
, vol.28
, Issue.2
, pp. 721-730
-
-
Karasev, M.V.1
Mosolova, M.V.2
-
18
-
-
38249026175
-
Analytic properties of the Magnus operator for two solvable Hamiltonians
-
Klarsfeld S and Oteo J A 1989 Analytic properties of the Magnus operator for two solvable Hamiltonians Phys. Lett. A 142 393-7
-
(1989)
Phys. Lett.
, vol.142
, Issue.6-7
, pp. 393-397
-
-
Klarsfeld, S.1
Oteo, J.A.2
-
19
-
-
0001291205
-
Recursive generation of higher-order terms in the Magnus expansion
-
Klarsfeld S and Oteo J A 1989 Recursive generation of higher-order terms in the Magnus expansion Phys. Rev. A 39 3270-3273
-
(1989)
Phys. Rev.
, vol.39
, Issue.7
, pp. 3270-3273
-
-
Klarsfeld, S.1
Oteo, J.A.2
-
21
-
-
84940252991
-
On the exponential solution of differential equations for a linear operator
-
Magnus W 1954 On the exponential solution of differential equations for a linear operator Commun. Pure Appl. Math. VII 649-73
-
(1954)
Commun. Pure Appl. Math.
, vol.7
, Issue.4
, pp. 649-673
-
-
Magnus, W.1
-
22
-
-
36549092408
-
Convergence of Magnus expansion for time-dependent two-level systems
-
Maricq M M 1987 Convergence of Magnus expansion for time-dependent two-level systems J. Chem. Phys. 86 5647-51
-
(1987)
J. Chem. Phys.
, vol.86
, Issue.10
, pp. 5647-5651
-
-
Maricq, M.M.1
-
24
-
-
36749056642
-
-
Moan P C 1998 Efficient approximation of Sturm-Liouville problems using Lie-group methods Technical Report 1998/NA11 Department of Applied Mathematics and Theoretical Physics, University of Cambridge, England
-
(1998)
Technical Report 1998/NA11
-
-
Moan, P.C.1
-
25
-
-
0039657206
-
On the existence of the exponential solution of linear differential systems
-
Moan P C, Oteo J A and Ros J 1999 On the existence of the exponential solution of linear differential systems J. Phys. A: Math. Gen. 32 5133-9
-
(1999)
J. Phys. A: Math. Gen.
, vol.32
, Issue.27
, pp. 5133-5139
-
-
Moan, P.C.1
Oteo, J.A.2
Ros, J.3
-
26
-
-
33646376070
-
-
Moan P C 2002 On backward error analysis and Nekhoroshev stability in the numerical analysis of conservative systems of ODEs PhD Thesis University of Cambridge
-
(2002)
PhD Thesis
-
-
Moan, P.C.1
-
28
-
-
36849102615
-
On the exponential form of time-displacement operators in quantum mechanics
-
Pechukas P and Light J C 1966 On the exponential form of time-displacement operators in quantum mechanics J. Chem. Phys. 44 3897-912
-
(1966)
J. Chem. Phys.
, vol.44
, Issue.10
, pp. 3897-3912
-
-
Pechukas, P.1
Light, J.C.2
-
30
-
-
0009689191
-
Convergence of Magnus and Magnus-like expansions in the Schrödinger representation
-
Salzman W R 1986 Convergence of Magnus and Magnus-like expansions in the Schrödinger representation J. Chem. Phys. 85 4605-13
-
(1986)
J. Chem. Phys.
, vol.85
, Issue.8
, pp. 4605-4613
-
-
Salzman, W.R.1
-
31
-
-
36849123046
-
Note on global validity of the Baker-Hausdorff and Magnus theorems
-
Wei J 1963 Note on global validity of the Baker-Hausdorff and Magnus theorems J. Math. Phys. 4 1337-41
-
(1963)
J. Math. Phys.
, vol.4
, Issue.10
, pp. 1337-1341
-
-
Wei, J.1
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