-
1
-
-
0003796630
-
-
Academic Press San Diego
-
Adams, R.A.: Sobolev Spaces. Academic Press, San Diego (1978)
-
(1978)
Sobolev Spaces
-
-
Adams, R.A.1
-
2
-
-
18144389899
-
A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates
-
6
-
W. Bao J. Shen 2005 A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates SIAM J. Sci. Comput. 26 6 2010 2028
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 2010-2028
-
-
Bao, W.1
Shen, J.2
-
3
-
-
0037408314
-
Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation
-
W. Bao D. Jaksch P. Markowich 2003 Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation J. Comput. Phys. 187 318 342
-
(2003)
J. Comput. Phys.
, vol.187
, pp. 318-342
-
-
Bao, W.1
Jaksch, D.2
Markowich, P.3
-
4
-
-
33745667769
-
Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation
-
3
-
W. Bao Q. Du Y. Zhang 2006 Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation SIAM J. Appl. Math. 66 3 758 786
-
(2006)
SIAM J. Appl. Math.
, vol.66
, pp. 758-786
-
-
Bao, W.1
Du, Q.2
Zhang, Y.3
-
5
-
-
0036556648
-
Order estimates in time of splitting methods for the nonlinear Schrödinger equation
-
5
-
C. Besse B. Bidégaray S. Descombes 2002 Order estimates in time of splitting methods for the nonlinear Schrödinger equation SIAM J. Numer. Anal. 40 5 26 40
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 26-40
-
-
Besse, C.1
Bidégaray, B.2
Descombes, S.3
-
6
-
-
0037095343
-
Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
-
S. Blanes P.C. Moan 2002 Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods J. Comput. Appl. Math. 142 313 330
-
(2002)
J. Comput. Appl. Math.
, vol.142
, pp. 313-330
-
-
Blanes, S.1
Moan, P.C.2
-
8
-
-
57649138663
-
High-order time-splitting Hermite and Fourier spectral methods for the Gross-Pitaevskii equation
-
M. Caliari Ch. Neuhauser M. Thalhammer 2009 High-order time-splitting Hermite and Fourier spectral methods for the Gross-Pitaevskii equation J. Comput. Phys. 228 822 832
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 822-832
-
-
Caliari, M.1
Neuhauser, Ch.2
Thalhammer, M.3
-
9
-
-
56549128326
-
A minimisation approach for computing the ground state of Gross-Pitaevskii systems
-
M. Caliari A. Ostermann S. Rainer M. Thalhammer 2009 A minimisation approach for computing the ground state of Gross-Pitaevskii systems J. Comput. Phys. 228 349 360
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 349-360
-
-
Caliari, M.1
Ostermann, A.2
Rainer, S.3
Thalhammer, M.4
-
10
-
-
0038202144
-
Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
-
C.M. Dion E. Cancès 2003 Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap Phys. Rev. E 67 046706
-
(2003)
Phys. Rev. e
, vol.67
, pp. 046706
-
-
Dion, C.M.1
Cancès, E.2
-
13
-
-
0000092377
-
Error bounds for exponential operator splittings
-
4
-
T. Jahnke Ch. Lubich 2000 Error bounds for exponential operator splittings BIT 40 4 735 744
-
(2000)
BIT
, vol.40
, pp. 735-744
-
-
Jahnke, T.1
Lubich, Ch.2
-
14
-
-
0039378243
-
Composition constants for raising the orders of unconventional schemes for ordinary differential equations
-
W. Kahan R.-C. Li 1997 Composition constants for raising the orders of unconventional schemes for ordinary differential equations Math. Comput. 66 1089 1099
-
(1997)
Math. Comput.
, vol.66
, pp. 1089-1099
-
-
Kahan, W.1
Li, R.-C.2
-
15
-
-
57049171510
-
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
-
Ch. Lubich 2008 On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations Math. Comput. 77 2141 2153
-
(2008)
Math. Comput.
, vol.77
, pp. 2141-2153
-
-
Lubich, Ch.1
-
16
-
-
0000194427
-
On the numerical integration of ordinary differential equations by symmetric composition methods
-
R.I. [tmp] McLachlan 1995 On the numerical integration of ordinary differential equations by symmetric composition methods SIAM J. Sci. Comput. 16 151 168
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, pp. 151-168
-
-
McLachlan, R.I.1
-
18
-
-
0037774726
-
Numerical methods for the simulation of trapped nonlinear Schrödinger equations
-
V.M. Pérez-García X. Liu 2003 Numerical methods for the simulation of trapped nonlinear Schrödinger equations J. Appl. Math. Comput. 144 215 235
-
(2003)
J. Appl. Math. Comput.
, vol.144
, pp. 215-235
-
-
Pérez-García, V.M.1
Liu, X.2
-
20
-
-
0001518684
-
On the construction and comparison of difference schemes
-
G. Strang 1968 On the construction and comparison of difference schemes SIAM J. Numer. Anal. 5 506 517
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, pp. 506-517
-
-
Strang, G.1
-
21
-
-
4244036883
-
Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations
-
M. Suzuki 1990 Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations Phys. Lett. A 146 319 323
-
(1990)
Phys. Lett. A
, vol.146
, pp. 319-323
-
-
Suzuki, M.1
-
22
-
-
55349108570
-
High-order exponential operator splitting methods for time-dependent Schrödinger equations
-
4
-
M. Thalhammer 2008 High-order exponential operator splitting methods for time-dependent Schrödinger equations SIAM J. Numer. Anal. 46 4 2022 2038
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, pp. 2022-2038
-
-
Thalhammer, M.1
-
23
-
-
84968520470
-
On the product of semi-groups of operators
-
H.F. Trotter 1959 On the product of semi-groups of operators Proc. Am. Math. Soc. 10 545 551
-
(1959)
Proc. Am. Math. Soc.
, vol.10
, pp. 545-551
-
-
Trotter, H.F.1
-
24
-
-
34547153222
-
A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations
-
R. Weishäupl Ch. Schmeiser P. Markowich J. Borgna 2007 A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations Commun. Math. Sci. 5 299 312
-
(2007)
Commun. Math. Sci.
, vol.5
, pp. 299-312
-
-
Weishäupl, R.1
Schmeiser, Ch.2
Markowich, P.3
Borgna, J.4
-
25
-
-
0001005075
-
Construction of higher order symplectic integrators
-
H. Yoshida 1990 Construction of higher order symplectic integrators Phys. Lett. A 150 262 268
-
(1990)
Phys. Lett. A
, vol.150
, pp. 262-268
-
-
Yoshida, H.1
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