-
1
-
-
85189838217
-
-
M. Abramowitz, I.A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, 10th Printing, Volume 55 of National Bureau of Standards Applied Mathematics Series, For Sale by the Superintendent of Documents, US Government Printing Office, Washington, DC, 1964.
-
M. Abramowitz, I.A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, 10th Printing, Volume 55 of National Bureau of Standards Applied Mathematics Series, For Sale by the Superintendent of Documents, US Government Printing Office, Washington, DC, 1964.
-
-
-
-
2
-
-
51149087560
-
A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations
-
Antoine X., Arnold A., Besse C., Ehrhardt M., and Schädle A. A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Commun. Comput. Phys. 4 4 (2008) 729-796
-
(2008)
Commun. Comput. Phys.
, vol.4
, Issue.4
, pp. 729-796
-
-
Antoine, X.1
Arnold, A.2
Besse, C.3
Ehrhardt, M.4
Schädle, A.5
-
3
-
-
0035593089
-
Construction structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation
-
Antoine X., and Besse C. Construction structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. J. Math. Pures Appl. (9) 80 7 (2001) 701-738
-
(2001)
J. Math. Pures Appl. (9)
, vol.80
, Issue.7
, pp. 701-738
-
-
Antoine, X.1
Besse, C.2
-
4
-
-
0038684989
-
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation
-
Antoine X., and Besse C. Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. J. Comput. Phys. 188 1 (2003) 157-175
-
(2003)
J. Comput. Phys.
, vol.188
, Issue.1
, pp. 157-175
-
-
Antoine, X.1
Besse, C.2
-
5
-
-
33750189006
-
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations
-
(Electronic)
-
Antoine X., Besse C., and Descombes S. Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. SIAM J. Numer. Anal. 43 6 (2006) 2272-2293 (Electronic)
-
(2006)
SIAM J. Numer. Anal.
, vol.43
, Issue.6
, pp. 2272-2293
-
-
Antoine, X.1
Besse, C.2
Descombes, S.3
-
6
-
-
5644226324
-
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions
-
(Electronic)
-
Antoine X., Besse C., and Mouysset V. Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Math. Comput. 73 248 (2004) 1779-1799 (Electronic)
-
(2004)
Math. Comput.
, vol.73
, Issue.248
, pp. 1779-1799
-
-
Antoine, X.1
Besse, C.2
Mouysset, V.3
-
7
-
-
0031632570
-
Numerically absorbing boundary conditions for quantum evolution equations
-
Arnold A. Numerically absorbing boundary conditions for quantum evolution equations. VLSI Design 6 1-4 (1998) 313-319
-
(1998)
VLSI Design
, vol.6
, Issue.1-4
, pp. 313-319
-
-
Arnold, A.1
-
8
-
-
17244364206
-
Scattering theory for the Schrödinger equation with repulsive potential
-
Bony J., Carles R., Häfner D., and Michel L. Scattering theory for the Schrödinger equation with repulsive potential. J. Math. Pures Appl. 84 5 (2005) 509-579
-
(2005)
J. Math. Pures Appl.
, vol.84
, Issue.5
, pp. 509-579
-
-
Bony, J.1
Carles, R.2
Häfner, D.3
Michel, L.4
-
9
-
-
24144475004
-
Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential
-
Carles R. Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Commun. Contemp. Math. 7 4 (2005) 483-508
-
(2005)
Commun. Contemp. Math.
, vol.7
, Issue.4
, pp. 483-508
-
-
Carles, R.1
-
11
-
-
85189837350
-
-
G. Doetsch, Anleitung zum praktischen Gebrauch der Laplace-Transformation und der Z-Transformation, vol. 3. Auflage. R. Oldenburg Verlag Munchen, Wien, 1967.
-
G. Doetsch, Anleitung zum praktischen Gebrauch der Laplace-Transformation und der Z-Transformation, vol. 3. Auflage. R. Oldenburg Verlag Munchen, Wien, 1967.
-
-
-
-
12
-
-
4444373625
-
Solutions to the discrete Airy equation: Application to parabolic equation calculations
-
Ehrhardt M., and Mickens R. Solutions to the discrete Airy equation: Application to parabolic equation calculations. J. Comput. Appl. Math. 172 (2004) 183-206
-
(2004)
J. Comput. Appl. Math.
, vol.172
, pp. 183-206
-
-
Ehrhardt, M.1
Mickens, R.2
-
13
-
-
44649170905
-
Exact artificial boundary conditions for problems with periodic structures
-
Ehrhardt M., and Zheng C. Exact artificial boundary conditions for problems with periodic structures. J. Comput. Phys. 227 (2008) 6877-6898
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 6877-6898
-
-
Ehrhardt, M.1
Zheng, C.2
-
14
-
-
27344459965
-
Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains
-
Ehrhardt M., and Zisowsky A. Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains. J. Comput. Appl. Math. 187 (2006) 1-28
-
(2006)
J. Comput. Appl. Math.
, vol.187
, pp. 1-28
-
-
Ehrhardt, M.1
Zisowsky, A.2
-
15
-
-
84966208271
-
Absorbing boundary conditions for numerical simulation of waves
-
Engquist B., and Majda A. Absorbing boundary conditions for numerical simulation of waves. Math. Comp. 31 (1977) 629-651
-
(1977)
Math. Comp.
, vol.31
, pp. 629-651
-
-
Engquist, B.1
Majda, A.2
-
17
-
-
0001776327
-
Propagation des singularités des solutions d'équations pseudo-différentielles quasi-homogènes
-
Lascar R. Propagation des singularités des solutions d'équations pseudo-différentielles quasi-homogènes. Ann. Inst. Fourier (Grenoble) 27 2 (1977) 79-123
-
(1977)
Ann. Inst. Fourier (Grenoble)
, vol.27
, Issue.2
, pp. 79-123
-
-
Lascar, R.1
-
18
-
-
85189838175
-
-
M. Levy, Parabolic equation methods for electromagnetic wave propagation, Volume 45 of IEE Electromagnetic Waves Series, Institution of Electrical Engineers (IEE), London, 2000.
-
M. Levy, Parabolic equation methods for electromagnetic wave propagation, Volume 45 of IEE Electromagnetic Waves Series, Institution of Electrical Engineers (IEE), London, 2000.
-
-
-
-
19
-
-
0002807367
-
Free-space boundary conditions for the time dependent wave equation
-
Lindmann E. Free-space boundary conditions for the time dependent wave equation. J. Comput. Phys. 18 (1985) 16-78
-
(1985)
J. Comput. Phys.
, vol.18
, pp. 16-78
-
-
Lindmann, E.1
-
20
-
-
35649027372
-
Numerical Maxwell-Schrödinger model for laser-molecule interaction and propagation
-
Lorin E., Bandrauk A., and Chelkowski S. Numerical Maxwell-Schrödinger model for laser-molecule interaction and propagation. Comput. Phys. Commun. 177 12 (2007) 908-932
-
(2007)
Comput. Phys. Commun.
, vol.177
, Issue.12
, pp. 908-932
-
-
Lorin, E.1
Bandrauk, A.2
Chelkowski, S.3
-
21
-
-
85189837621
-
-
E. Lorin, S. Chelkowski, A.D. Bandrauk, Mathematical modeling of boundary conditions for laser-molecule time dependent Schrödinger equations and some aspects of their numerical computation - one-dimensional case, Numer. Meth. for P.D.E., in press.
-
E. Lorin, S. Chelkowski, A.D. Bandrauk, Mathematical modeling of boundary conditions for laser-molecule time dependent Schrödinger equations and some aspects of their numerical computation - one-dimensional case, Numer. Meth. for P.D.E., in press.
-
-
-
-
22
-
-
0031058871
-
Rational square-root approximations for parabolic equation algorithms
-
Milinazzo F., Zala C., and Brooke G. Rational square-root approximations for parabolic equation algorithms. J. Acoust. Soc. Am. 101 2 (1997) 760-766
-
(1997)
J. Acoust. Soc. Am.
, vol.101
, Issue.2
, pp. 760-766
-
-
Milinazzo, F.1
Zala, C.2
Brooke, G.3
-
23
-
-
2342428011
-
Complex absorbing potentials
-
Muga J., Palao J., Navarro B., and Egusquiza I. Complex absorbing potentials. Phys. Rep. - Rev. Sect. Phys. Lett. 395 6 (2004) 357-426
-
(2004)
Phys. Rep. - Rev. Sect. Phys. Lett.
, vol.395
, Issue.6
, pp. 357-426
-
-
Muga, J.1
Palao, J.2
Navarro, B.3
Egusquiza, I.4
-
24
-
-
85189837206
-
-
L. Nirenberg, Pseudodifferential operators and some applications, Volume 17 of Regional Conference Series in Mathematics AMS 17, Lectures on Linear Partial Differential Equations, AMS, 1973.
-
L. Nirenberg, Pseudodifferential operators and some applications, Volume 17 of Regional Conference Series in Mathematics AMS 17, Lectures on Linear Partial Differential Equations, AMS, 1973.
-
-
-
-
25
-
-
37149019632
-
Approximation, stability and fast evaluation of exact artificial boundary condition for the one-dimensional heat equation
-
Zheng C. Approximation, stability and fast evaluation of exact artificial boundary condition for the one-dimensional heat equation. J. Comput. Math. 25 6 (2007) 730-745
-
(2007)
J. Comput. Math.
, vol.25
, Issue.6
, pp. 730-745
-
-
Zheng, C.1
-
26
-
-
35348884878
-
A perfectly matched layer approach to the nonlinear Schrödinger wave equations
-
Zheng C. A perfectly matched layer approach to the nonlinear Schrödinger wave equations. J. Comput. Phys. 227 (2007) 537-556
-
(2007)
J. Comput. Phys.
, vol.227
, pp. 537-556
-
-
Zheng, C.1
-
27
-
-
41849137270
-
An exact absorbing boundary condition for the Schrödinger equation with sinusoidal potentials at infinity
-
Zheng C. An exact absorbing boundary condition for the Schrödinger equation with sinusoidal potentials at infinity. Commun. Comput. Phys. 3 3 (2008) 641-658
-
(2008)
Commun. Comput. Phys.
, vol.3
, Issue.3
, pp. 641-658
-
-
Zheng, C.1
-
28
-
-
85189837060
-
-
A. Zisowsky, Discrete transparent boundary conditions for systems of evolution equations, Ph.D. Thesis, TU Berlin, 2003.
-
A. Zisowsky, Discrete transparent boundary conditions for systems of evolution equations, Ph.D. Thesis, TU Berlin, 2003.
-
-
-
-
29
-
-
27744450526
-
Discrete transparent boundary conditions for transient kp-Schrödinger equations with application to quantum-heterostructures
-
Zisowsky A., Arnold A., Ehrhardt M., and Koprucki T. Discrete transparent boundary conditions for transient kp-Schrödinger equations with application to quantum-heterostructures. J. Appl. Math. Mech. (ZAMM) 85 (2005) 793-805
-
(2005)
J. Appl. Math. Mech. (ZAMM)
, vol.85
, pp. 793-805
-
-
Zisowsky, A.1
Arnold, A.2
Ehrhardt, M.3
Koprucki, T.4
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