-
1
-
-
0037408314
-
Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation
-
Bao W., Jaksch D., and Markowich P. Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation. J. Comp. Phys. 187 (2003) 318-342
-
(2003)
J. Comp. Phys.
, vol.187
, pp. 318-342
-
-
Bao, W.1
Jaksch, D.2
Markowich, P.3
-
2
-
-
18144389899
-
A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates
-
Bao W., and Shen J. A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates. SIAM J. Sci. Comput. 26/6 (2005) 2010-2028
-
(2005)
SIAM J. Sci. Comput.
, vol.26-6
, pp. 2010-2028
-
-
Bao, W.1
Shen, J.2
-
3
-
-
0037406449
-
Ground-state solution of Bose-Einstein condensate by directly minimising the energy functional
-
Bao W., and Tang W. Ground-state solution of Bose-Einstein condensate by directly minimising the energy functional. J. Comp. Phys. 187 (2003) 230-254
-
(2003)
J. Comp. Phys.
, vol.187
, pp. 230-254
-
-
Bao, W.1
Tang, W.2
-
4
-
-
0036556648
-
Order estimates in time of splitting methods for the nonlinear Schrödinger equation
-
Besse C., Bidégaray B., and Descombes S. Order estimates in time of splitting methods for the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 40/5 (2002) 26-40
-
(2002)
SIAM J. Numer. Anal.
, vol.40-5
, pp. 26-40
-
-
Besse, C.1
Bidégaray, B.2
Descombes, S.3
-
5
-
-
0037095343
-
Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
-
Blanes S., and Moan P.C. Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods. J. Comput. Appl. Math. 142 (2002) 313-330
-
(2002)
J. Comput. Appl. Math.
, vol.142
, pp. 313-330
-
-
Blanes, S.1
Moan, P.C.2
-
7
-
-
85189837091
-
-
M. Caliari, G. Kirchner, M. Thalhammer, Convergence and energy conservation of the Strang time-splitting Hermite spectral method for nonlinear Schrödinger equations, Universität Innsbruck, 2007, Preprint.
-
M. Caliari, G. Kirchner, M. Thalhammer, Convergence and energy conservation of the Strang time-splitting Hermite spectral method for nonlinear Schrödinger equations, Universität Innsbruck, 2007, Preprint.
-
-
-
-
8
-
-
85189841129
-
-
M. Caliari, A. Ostermann, S. Rainer, M. Thalhammer, A minimisation approach for computing the ground state of Gross-Pitaevskii systems, J. Comp. Phys., in press, doi:10.1016/j.jcp.2008.09.018.
-
M. Caliari, A. Ostermann, S. Rainer, M. Thalhammer, A minimisation approach for computing the ground state of Gross-Pitaevskii systems, J. Comp. Phys., in press, doi:10.1016/j.jcp.2008.09.018.
-
-
-
-
9
-
-
85189836919
-
-
Th. Cazenave, An Introduction to Nonlinear Schrödinger Equations, Textos de Métodos Matemáticos 26, I.M.U.F.R.J., Rio de Janeiro, 1989.
-
Th. Cazenave, An Introduction to Nonlinear Schrödinger Equations, Textos de Métodos Matemáticos 26, I.M.U.F.R.J., Rio de Janeiro, 1989.
-
-
-
-
10
-
-
85189836897
-
-
E. Celledoni, D. Cohen, B. Owren, Symmetric exponential integrators for the cubic Schrödinger equation, Preprint Numerics 3/2006, University of Trondheim, 2006.
-
E. Celledoni, D. Cohen, B. Owren, Symmetric exponential integrators for the cubic Schrödinger equation, Preprint Numerics 3/2006, University of Trondheim, 2006.
-
-
-
-
11
-
-
0038202144
-
Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
-
Dion C.M., and Cancès E. Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap. Phys. Rev. E 67 (2003) 046706
-
(2003)
Phys. Rev. E
, vol.67
, pp. 046706
-
-
Dion, C.M.1
Cancès, E.2
-
13
-
-
14844341327
-
Orthogonal polynomials (in Matlab)
-
Gautschi W. Orthogonal polynomials (in Matlab). J. Comput. Appl. Math. 178 (2005) 215-234
-
(2005)
J. Comput. Appl. Math.
, vol.178
, pp. 215-234
-
-
Gautschi, W.1
-
14
-
-
51249193203
-
Structure of a quantized vortex in boson systems
-
Gross E.P. Structure of a quantized vortex in boson systems. Nuovo. Cimento. 20 (1961) 454-477
-
(1961)
Nuovo. Cimento.
, vol.20
, pp. 454-477
-
-
Gross, E.P.1
-
16
-
-
0039378243
-
Composition constants for raising the orders of unconventional schemes for ordinary differential equations
-
Kahan W., and Li R.-C. Composition constants for raising the orders of unconventional schemes for ordinary differential equations. Math. Comput. 66 (1997) 1089-1099
-
(1997)
Math. Comput.
, vol.66
, pp. 1089-1099
-
-
Kahan, W.1
Li, R.-C.2
-
17
-
-
57049171510
-
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
-
Lubich Ch. On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations. Math. Comp. 77/264 (2008) 2141-2153
-
(2008)
Math. Comp.
, vol.77-264
, pp. 2141-2153
-
-
Lubich, Ch.1
-
18
-
-
0000194427
-
On the numerical integration of ordinary differential equations by symmetric composition methods
-
McLachlan R.I. On the numerical integration of ordinary differential equations by symmetric composition methods. SIAM J. Sci. Comput. 16 (1995) 151-168
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, pp. 151-168
-
-
McLachlan, R.I.1
-
20
-
-
0037774726
-
Numerical methods for the simulation of trapped nonlinear Schrödinger systems
-
Pérez-García V.M., and Liu X. Numerical methods for the simulation of trapped nonlinear Schrödinger systems. Appl. Math. Comp. 144 (2003) 215-235
-
(2003)
Appl. Math. Comp.
, vol.144
, pp. 215-235
-
-
Pérez-García, V.M.1
Liu, X.2
-
21
-
-
0000196586
-
Vortex lines in an imperfect Bose gas
-
Pitaevskii L.P. Vortex lines in an imperfect Bose gas. Sov. Phys. JETP 13 (1961) 451-454
-
(1961)
Sov. Phys. JETP
, vol.13
, pp. 451-454
-
-
Pitaevskii, L.P.1
-
22
-
-
0001518684
-
On the construction and comparison of difference schemes
-
Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5 (1968) 506-517
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, pp. 506-517
-
-
Strang, G.1
-
23
-
-
4244036883
-
Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations
-
Suzuki M. Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations. Phys. Lett. A 146 (1990) 319-323
-
(1990)
Phys. Lett. A
, vol.146
, pp. 319-323
-
-
Suzuki, M.1
-
25
-
-
48549114390
-
Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
-
Taha T.R., and Ablowitz M.J. Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation. J. Comput. Phys. 55/2 (1984) 203-230
-
(1984)
J. Comput. Phys.
, vol.55-2
, pp. 203-230
-
-
Taha, T.R.1
Ablowitz, M.J.2
-
26
-
-
55349108570
-
High-order exponential operator splitting methods for time-dependent Schrödinger equations
-
Thalhammer M. High-order exponential operator splitting methods for time-dependent Schrödinger equations. SIAM J. Numer. Anal. 46/4 (2008) 2022-2038
-
(2008)
SIAM J. Numer. Anal.
, vol.46-4
, pp. 2022-2038
-
-
Thalhammer, M.1
-
27
-
-
84968520470
-
On the product of semi-groups of operators
-
Trotter H.F. On the product of semi-groups of operators. Proc. Am. Math. Soc. 10 (1959) 545-551
-
(1959)
Proc. Am. Math. Soc.
, vol.10
, pp. 545-551
-
-
Trotter, H.F.1
-
28
-
-
0001005075
-
Construction of higher order symplectic integrators
-
Yoshida H. Construction of higher order symplectic integrators. Phys. Let. A 150 (1990) 262-268
-
(1990)
Phys. Let. A
, vol.150
, pp. 262-268
-
-
Yoshida, H.1
|