-
1
-
-
21344479280
-
Finite difference discretization of the cubic Schrödinger equation
-
G. Akrivis, Finite difference discretization of the cubic Schrödinger equation, IMA J. Numer. Anal., 13 (1993), pp. 115-124.
-
(1993)
IMA J. Numer. Anal.
, vol.13
, pp. 115-124
-
-
Akrivis, G.1
-
2
-
-
0002341433
-
On fully discrete Galerkin methods of secondorder temporal accuracy for the nonlinear Schrödinger equation
-
G. Akrivis, V. Dougalis, and O. Karakashian, On fully discrete Galerkin methods of secondorder temporal accuracy for the nonlinear Schrödinger equation, Numer. Math., 59 (1991), pp. 31-53.
-
(1991)
Numer. Math.
, vol.59
, pp. 31-53
-
-
Akrivis, G.1
Dougalis, V.2
Karakashian, O.3
-
3
-
-
84861382951
-
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
-
to appear
-
W. Bao and Y. Cai, Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation, Math. Comp., to appear.
-
Math. Comp
-
-
Bao, W.1
Cai, Y.2
-
4
-
-
84855647334
-
Analysis and comparison of numerical methods for Klein-Gordon equation in nonrelativistic limit regime
-
W. Bao and X. Dong, Analysis and comparison of numerical methods for Klein-Gordon equation in nonrelativistic limit regime, Numer. Math., 120 (2012), pp. 189-229.
-
Numer. Math.
, vol.120
, Issue.2012
, pp. 189-229
-
-
Bao, W.1
Dong, X.2
-
5
-
-
84855710301
-
Comparisons between sine-Gordon equation and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse
-
W. Bao, X. Dong, and J. Xin, Comparisons between sine-Gordon equation and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse, Phys. D, 239 (2010), pp. 1120-1134.
-
(2010)
Phys. D
, vol.239
, pp. 1120-1134
-
-
Bao, W.1
Dong, X.2
Xin, J.3
-
6
-
-
0037408314
-
Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation
-
DOI 10.1016/S0021-9991(03)00102-5
-
W. Bao, D. Jaksch, and P. A. Markowich, Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation, J. Comput. Phys., 187 (2003), pp. 318-342. (Pubitemid 36515583)
-
(2003)
Journal of Computational Physics
, vol.187
, Issue.1
, pp. 318-342
-
-
Bao, W.1
Jaksch, D.2
Markowich, P.A.3
-
7
-
-
0013077068
-
A singular perturbation problem for an envelope equation in plasma physics
-
L. Bergé and T. Colin, A singular perturbation problem for an envelope equation in plasma physics, Phys. D, 84 (1995), pp. 437-459.
-
(1995)
Phys. D
, vol.84
, pp. 437-459
-
-
Bergé, L.1
Colin, T.2
-
8
-
-
0036556648
-
Order estimates in time of splitting methods for the nonlinear Schrödinger equation
-
C. Besse, B. Bidégaray, and S. Descombes, Order estimates in time of splitting methods for the nonlinear Schrödinger equation, SIAM J. Numer. Anal., 40 (2002), pp. 26-40.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 26-40
-
-
Besse, C.1
Bidégaray, B.2
Descombes, S.3
-
9
-
-
84968490649
-
Finite difference method for generalized Zakharov equations
-
Q. Chang, B. Guo, and H. Jiang, Finite difference method for generalized Zakharov equations, Math. Comp., 64 (1995), pp. 537-553.
-
(1995)
Math. Comp.
, vol.64
, pp. 537-553
-
-
Chang, Q.1
Guo, B.2
Jiang, H.3
-
10
-
-
0032384306
-
Semidiscretization in time for Schrödinger-waves equations
-
T. Colin and P. Fabrie, Semidiscretization in time for Schrödinger-waves equations, Discrete Contin. Dynam. Syst., 4 (1998), pp. 671-690.
-
(1998)
Discrete Contin. Dynam. Syst.
, vol.4
, pp. 671-690
-
-
Colin, T.1
Fabrie, P.2
-
11
-
-
79952290629
-
Modified energy for split-step methods applied to the linear Schrödinger equations
-
A. Debussche and E. Faou, Modified energy for split-step methods applied to the linear Schrödinger equations, SIAM J. Numer. Anal., 47 (2009), pp. 3705-3719.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 3705-3719
-
-
Debussche, A.1
Faou, E.2
-
12
-
-
55349136613
-
Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit
-
P. Degond, J. Liu, and M. Vignal, Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit, SIAM J. Numer. Anal., 46 (2008), pp. 1298-1322.
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, pp. 1298-1322
-
-
Degond, P.1
Liu, J.2
Vignal, M.3
-
13
-
-
84968513694
-
Convergence of an energy-preserving scheme for the Zakharov equations in one space dimension
-
R. T. Glassey, Convergence of an energy-preserving scheme for the Zakharov equations in one space dimension, Math. Comp., 58 (1992), pp. 83-102.
-
(1992)
Math. Comp.
, vol.58
, pp. 83-102
-
-
Glassey, R.T.1
-
14
-
-
0041681179
-
On the problem of numerical calculation for a class of systems of nonlinear Schrödinger equations with wave operator
-
B. Guo and H. Liang, On the problem of numerical calculation for a class of systems of nonlinear Schrödinger equations with wave operator, J. Numer. Methods Comput. Appl., 4 (1983), pp. 176-182.
-
(1983)
J. Numer. Methods Comput. Appl.
, vol.4
, pp. 176-182
-
-
Guo, B.1
Liang, H.2
-
15
-
-
0001668244
-
Applications of the split-step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations
-
R. H. Hardin and F. D. Tappert, Applications of the split-step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations, SIAM Rev. Chronicle, 15 (1973), p. 423.
-
(1973)
SIAM Rev. Chronicle
, vol.15
, pp. 423
-
-
Hardin, R.H.1
Tappert, F.D.2
-
16
-
-
0033295423
-
Efficient Asymptotic-Preserving (AP) schemes for some multiscale kinetic equations
-
S. Jin, Efficient Asymptotic-Preserving (AP) schemes for some multiscale kinetic equations, SIAM J. Sci. Comput., 21 (1999), pp. 441-454.
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 441-454
-
-
Jin, S.1
-
17
-
-
57049171510
-
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
-
C. Lubich, On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations, Math. Comp., 77 (2008), pp. 2141-2153.
-
(2008)
Math. Comp.
, vol.77
, pp. 2141-2153
-
-
Lubich, C.1
-
18
-
-
0036013587
-
Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
-
DOI 10.1007/s002080200008
-
S. Machihara, K. Nakanishi, and T. Ozawa, Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations, Math. Ann., 322 (2002), pp. 603-621. (Pubitemid 36185751)
-
(2002)
Mathematische Annalen
, vol.322
, Issue.3
, pp. 603-621
-
-
Machihara, S.1
Nakanishi, K.2
Ozawa, T.3
-
19
-
-
61849133372
-
On the convergence of splitting methods for linear evolutionary Schrödinger equations involving an unbounded potential
-
C. Neuhauser and M. Thalhammer, On the convergence of splitting methods for linear evolutionary Schrödinger equations involving an unbounded potential, BIT, 49 (2009), pp. 199-215.
-
(2009)
BIT
, vol.49
, pp. 199-215
-
-
Neuhauser, C.1
Thalhammer, M.2
-
20
-
-
0043232734
-
A space-Time finite element method for the nonlinear Schrödinger equation: The continuous Galerkin method
-
K. Ohannes and M. Charalambos, A space-Time finite element method for the nonlinear Schrödinger equation: The continuous Galerkin method, SIAM J. Numer. Anal., 36 (1999), pp. 1779-1807.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 1779-1807
-
-
Ohannes, K.1
Charalambos, M.2
-
21
-
-
38249006496
-
On the numerical solution of the cubic Schrödinger equation in one space variable
-
M. P. Robinson, G. Fairweather, and B. M. Herbst, On the numerical solution of the cubic Schrödinger equation in one space variable, J. Comput. Phys., 104 (1993), pp. 277-284.
-
(1993)
J. Comput. Phys.
, vol.104
, pp. 277-284
-
-
Robinson, M.P.1
Fairweather, G.2
Herbst, B.M.3
-
22
-
-
0040952168
-
On the nonrelativistic limits of the Klein-Gordon and Dirac equations
-
A. Y. Schoene, On the nonrelativistic limits of the Klein-Gordon and Dirac equations, J. Math. Anal. Appl., 71 (1979), pp. 36-47.
-
(1979)
J. Math. Anal. Appl.
, vol.71
, pp. 36-47
-
-
Schoene, A.Y.1
-
23
-
-
48549114390
-
Analytical and numerical aspects of certain nonlinear evolution equations, II. Numerical, nonlinear Schrödinger equation
-
SIAM J. Numer. Anal., 46 (2008), pp. 2022-2038
-
T. R. Taha and M. J. Ablowitz, Analytical and numerical aspects of certain nonlinear evolution equations, II. Numerical, nonlinear Schrödinger equation, J. Comput. Phys., 55 (1984), pp. 203-230. SIAM J. Numer. Anal., 46 (2008), pp. 2022-2038.
-
(1984)
J. Comput. Phys.
, vol.55
, pp. 203-230
-
-
Taha, T.R.1
Ablowitz, M.J.2
-
25
-
-
0001643458
-
Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions
-
M. Tsutumi, Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions, Nonlinear Anal., 8 (1984), pp. 637-643.
-
(1984)
Nonlinear Anal.
, vol.8
, pp. 637-643
-
-
Tsutumi, M.1
-
26
-
-
33751539666
-
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
-
DOI 10.1016/j.amc.2006.06.015, PII S009630030600525X
-
T. Wang and L. Zhang, Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator, Appl. Math. Comput., 182 (2006), pp. 1780-1794. (Pubitemid 44838877)
-
(2006)
Applied Mathematics and Computation
, vol.182
, Issue.2
, pp. 1780-1794
-
-
Wang, T.-c.1
Zhang, L.-m.2
-
27
-
-
0346688073
-
Modeling light bullets with the two-dimensional sine-Gordon equation
-
J. Xin, Modeling light bullets with the two-dimensional sine-Gordon equation, Phys. D, 135 (2000), pp. 345-368.
-
(2000)
Phys. D
, vol.135
, pp. 345-368
-
-
Xin, J.1
|