-
1
-
-
0010295721
-
Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
-
F. Zhang Numerical simulation of nonlinear Schrödinger systems: a new conservative scheme Appl. Math. Comput. 71 1995 165 177
-
(1995)
Appl. Math. Comput.
, vol.71
, pp. 165-177
-
-
Zhang, F.1
-
2
-
-
84965060858
-
Finite difference calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation
-
S. Li, and L. Vu-Quoc Finite difference calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation SIAM J. Numer. Anal. 32 1995 1839 1875
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1839-1875
-
-
Li, S.1
Vu-Quoc, L.2
-
3
-
-
0142216144
-
Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system
-
Jian-Qiang Sun, and Meng-Zhao Qin Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system Comput. Phys. Commun. 155 2003 221 235
-
(2003)
Comput. Phys. Commun.
, vol.155
, pp. 221-235
-
-
Sun, J.-Q.1
Qin, M.-Z.2
-
4
-
-
33645456610
-
Multisymplectic difference schemes for coupled nonlinear Schrödinger system
-
Sun Jian-qiang, Gu Xiao-yan, and Ma Zhong-qi Multisymplectic difference schemes for coupled nonlinear Schrödinger system Chin. J. Comput. Phys. 21 2004 321 328
-
(2004)
Chin. J. Comput. Phys.
, vol.21
, pp. 321-328
-
-
Sun, J.-Q.1
Gu, X.-Y.2
Ma, Z.-Q.3
-
5
-
-
23144432839
-
Strong coupling of Schrödinger equations: Conservative scheme approach
-
W.J. Sonnier, and C.I. Christov Strong coupling of Schrödinger equations: conservative scheme approach Math. Comp. Simul. 69 2005 514 525
-
(2005)
Math. Comp. Simul.
, vol.69
, pp. 514-525
-
-
Sonnier, W.J.1
Christov, C.I.2
-
6
-
-
0034920816
-
Numerical simulation of coupled nonlinear Schrödinger equation
-
DOI 10.1016/S0378-4754(01)00324-X, PII S037847540100324X
-
M.S. Ismail, and T.R. Taha Numerical simulation of coupled nonlinear Schrödinger equation Math. Comp. Simul. 56b 2001 547 562 (Pubitemid 32663844)
-
(2001)
Mathematics and Computers in Simulation
, vol.56
, Issue.6
, pp. 547-562
-
-
Ismail, M.S.1
Taha, T.R.2
-
7
-
-
28244501835
-
Highly accurate finite difference method for coupled nonlinear Schrödinger equation
-
M.S. Ismail, and S.Z. Alamri Highly accurate finite difference method for coupled nonlinear Schrödinger equation Int. J. Comp. Math. 81 2004 333 351
-
(2004)
Int. J. Comp. Math.
, vol.81
, pp. 333-351
-
-
Ismail, M.S.1
Alamri, S.Z.2
-
8
-
-
33847107061
-
A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation
-
DOI 10.1016/j.matcom.2006.10.020, PII S0378475406002461, Nonlinear Waves: Computation and Theory VI
-
M.S. Ismail, and T.R. Taha A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation Math. Comp. Simul. 74 2007 302 311 (Pubitemid 46283647)
-
(2007)
Mathematics and Computers in Simulation
, vol.74
, Issue.4-5
, pp. 302-311
-
-
Ismail, M.S.1
Taha, T.R.2
-
9
-
-
0041897399
-
A conservative difference scheme for the zakharov equations
-
DOI 10.1006/jcph.1994.1138
-
Qianshun Chang, and Hong Jiang A conservative difference scheme for the Zakharov equations J. Comput. Phys. 113 1994 309 319 (Pubitemid 124013464)
-
(1994)
Journal of Computational Physics
, vol.113
, Issue.2
, pp. 309-319
-
-
Chang, Q.1
-
10
-
-
84968490649
-
Finite difference method for the generalized Zakharov equations
-
Qianshun Chang, Boling Guo, and Hong Jiang Finite difference method for the generalized Zakharov equations Math. Comput. 64 1995 537 553
-
(1995)
Math. Comput.
, vol.64
, pp. 537-553
-
-
Chang, Q.1
Guo, B.2
Jiang, H.3
-
11
-
-
12444285822
-
Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
-
DOI 10.1016/j.amc.2004.02.010, PII S0096300304002292
-
Luming Zhang Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension Appl. Math. Comput. 163 2005 343 355 (Pubitemid 40146300)
-
(2005)
Applied Mathematics and Computation
, vol.163
, Issue.1
, pp. 343-355
-
-
Zhang, L.1
-
12
-
-
34247344152
-
Conservative difference methods for the Klein-Gordon-Zakharov equations
-
DOI 10.1016/j.cam.2006.05.008, PII S0377042706003281
-
Tingchun Wang, Juan Chen, and Luming Zhang Conservative difference methods for the Klein-Gordon-Zakharov equations J. Comput. Appl. Math. 205 2007 430 452 (Pubitemid 46636081)
-
(2007)
Journal of Computational and Applied Mathematics
, vol.205
, Issue.1
, pp. 430-452
-
-
Wang, T.1
Chen, J.2
Zhang, L.3
-
13
-
-
0041520666
-
A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator
-
Luming Zhang A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator Appl. Math. Comput. 145 2003 603 612
-
(2003)
Appl. Math. Comput.
, vol.145
, pp. 603-612
-
-
Zhang, L.1
-
14
-
-
0001193685
-
Finite difference schemes for ∂u∂t=(" close=") "∂∂xαδGδu that inherit energy conservation or dissipation property
-
D. Furihata Finite difference schemes for ∂u∂t = ∂∂x α δGδu that inherit energy conservation or dissipation property J. Comput. Phys. 156 1999 181 205
-
(1999)
J. Comput. Phys.
, vol.156
, pp. 181-205
-
-
Furihata, D.1
-
15
-
-
0035449128
-
Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
-
DOI 10.1016/S0377-0427(00)00527-6, PII S0377042700005276
-
D. Furihata Finite-difference schemes for nonlinear wave equation that inherit energy conservation property J. Comput. Appl. Math. 134 2001 37 57 (Pubitemid 32836217)
-
(2001)
Journal of Computational and Applied Mathematics
, vol.134
, Issue.1-2
, pp. 37-57
-
-
Furihata, D.1
-
16
-
-
33847365291
-
New conservative schemes with discrete variational derivatives for nonlinear wave equations
-
DOI 10.1016/j.cam.2006.03.009, PII S0377042706001634
-
Takayasu Matsuo New conservative schemes with discrete variational derivatives for nonlinear wave equations J. Comput. Appl. Math. 203 2007 32 56 (Pubitemid 46349466)
-
(2007)
Journal of Computational and Applied Mathematics
, vol.203
, Issue.1
, pp. 32-56
-
-
Matsuo, T.1
-
17
-
-
0000589798
-
Dissipative or Conservative Finite-Difference Schemes for Complex-Valued Nonlinear Partial Differential Equations
-
DOI 10.1006/jcph.2001.6775, PII S0021999101967750
-
Takayasu Matsuo, and D. Furihata Dissipative or conservative finite difference schemes for complex-valued nonlinear partial differential equations J. Comput. Phys. 171 2001 425 447 (Pubitemid 33664838)
-
(2001)
Journal of Computational Physics
, vol.171
, Issue.2
, pp. 425-447
-
-
Matsuo, T.1
Furihata, D.2
-
19
-
-
0040374231
-
Existence and uniqueness theorems for solutions of nonlinear boundary value problems
-
Application of nonlinear partial differential equations, in: R. Finn (Ed.) AMS, Providence
-
F.E. Browder. Existence and uniqueness theorems for solutions of nonlinear boundary value problems, in: Application of nonlinear partial differential equations, in: R. Finn (Ed.), Proceedings of Symposia in Applied Mathematics, vol. 17, AMS, Providence,1965, pp. 24-49.
-
(1965)
Proceedings of Symposia in Applied Mathematics
, vol.17
, pp. 24-49
-
-
Browder, F.E.1
-
21
-
-
50249124841
-
Numerical analysis of a multi-symplectic scheme for a strongly coupled Schröinger system
-
T. Wang, L. Zhang, and F. Chen Numerical analysis of a multi-symplectic scheme for a strongly coupled Schröinger system Appl. Math. Comput. 203 2008 413 431
-
(2008)
Appl. Math. Comput.
, vol.203
, pp. 413-431
-
-
Wang, T.1
Zhang, L.2
Chen, F.3
|