-
2
-
-
57049184350
-
-
H. Appel, E.K.U. Gross, Static and time-dependent many-body effects via density-functional theory, in Quantum simulations of complex many-body systems: From theory to algorithms (J. Grotcndorst. D. Marx, A. Muramatsu, cds.), NIC Series 10. John von Neumann Institute for Computing, Jülich (2002), 255-268.
-
H. Appel, E.K.U. Gross, Static and time-dependent many-body effects via density-functional theory, in Quantum simulations of complex many-body systems: From theory to algorithms (J. Grotcndorst. D. Marx, A. Muramatsu, cds.), NIC Series Vol. 10. John von Neumann Institute for Computing, Jülich (2002), 255-268.
-
-
-
-
3
-
-
0037408314
-
-
W. Bao, D. Jaksch, P.A. Markowich, Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation, J. Comput. Phys. 187 (2003), 318-342. MR1977789 (2004g:82065)
-
W. Bao, D. Jaksch, P.A. Markowich, Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation, J. Comput. Phys. 187 (2003), 318-342. MR1977789 (2004g:82065)
-
-
-
-
4
-
-
11244292274
-
Effective one particle quantum dynamics of electrons: A numerical study of the Schrödinger-Poisson- Xα model
-
MR2041458
-
W. Bao, N. Mauser, H.P. Stimming, Effective one particle quantum dynamics of electrons: A numerical study of the Schrödinger-Poisson- Xα model, Comm. Math. Sci. 1 (2003), 809-828. MR2041458
-
(2003)
Comm. Math. Sci
, vol.1
, pp. 809-828
-
-
Bao, W.1
Mauser, N.2
Stimming, H.P.3
-
5
-
-
0036556648
-
-
C. Bessc, B. Bidégaray. S. Descombes. Order estimates in time. of splitting methods for the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 40 (2002), 26-40. MR1921908 (2003k:65099)
-
C. Bessc, B. Bidégaray. S. Descombes. Order estimates in time. of splitting methods for the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 40 (2002), 26-40. MR1921908 (2003k:65099)
-
-
-
-
6
-
-
84988175779
-
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation
-
MR1087449 92b:82118
-
F. Brezzi, P.A. Markowich, The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Math. Methods Appl. Sci. 14 (1991), 35-61. MR1087449 (92b:82118)
-
(1991)
Math. Methods Appl. Sci
, vol.14
, pp. 35-61
-
-
Brezzi, F.1
Markowich, P.A.2
-
7
-
-
0040522777
-
2 solutions to the Schrödinger-Poisson system: Existence, uniqueness, time behaviour, and smoothing effects
-
MR1487521 99f:82044
-
2 solutions to the Schrödinger-Poisson system: Existence, uniqueness, time behaviour, and smoothing effects. Math. Models Methods Appl. Sci. 7 (1997), 1051-1083. MR1487521 (99f:82044)
-
(1997)
Math. Models Methods Appl. Sci
, vol.7
, pp. 1051-1083
-
-
Castella, F.1
-
9
-
-
38849133086
-
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations
-
2nd edition, Springer-Verlag, Berlin, MR2221614 2006m:65006
-
E. Hairer, C. Lubich, G. Wanner, Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd edition. Springer Series in Computational Mathematics, 31, Springer-Verlag, Berlin, 2006. MR2221614 (2006m:65006)
-
(2006)
Springer Series in Computational Mathematics
, vol.31
-
-
Hairer, E.1
Lubich, C.2
Wanner, G.3
-
10
-
-
0012912813
-
Solving ordinary differential equations. I. Nonstiff problems
-
Second edition, Springer-Verlag, Berlin, MR1227985 94c:65005
-
E. Hairer, S.P. Norsett, G. Wanner, Solving ordinary differential equations. I. Nonstiff problems. Second edition. Springer Series in Computational Mathematics. 8. Springer-Verlag, Berlin. 1993. MR1227985 (94c:65005)
-
(1993)
Springer Series in Computational Mathematics
, vol.8
-
-
Hairer, E.1
Norsett, S.P.2
Wanner, G.3
-
11
-
-
0001668244
-
Applications of the split-step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations
-
R.H. Hardin, F.D. Tapped, Applications of the split-step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations, SIAM Review 15 (1973), 423.
-
(1973)
SIAM Review
, vol.15
, pp. 423
-
-
Hardin, R.H.1
Tapped, F.D.2
-
12
-
-
6344271704
-
Numerical solution of time-dependent advection-diffusion-reaction equations
-
Springer-Verlag, Berlin, MR2002152 2004g:65001
-
W. Hundsdorfor, J.G. Verwor, Numerical solution of time-dependent advection-diffusion-reaction equations, Springer Series in Computational Mathematics. 33. Springer-Verlag, Berlin, 2003. MR2002152 (2004g:65001)
-
(2003)
Springer Series in Computational Mathematics
, vol.33
-
-
Hundsdorfor, W.1
Verwor, J.G.2
-
13
-
-
84988144301
-
Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner-Poisson and Schrödinger- Poisson systems
-
MR1273317 95b:82041
-
R. Illner, P.F. Zweifel, H. Lange, Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner-Poisson and Schrödinger- Poisson systems, Math. Methods Appl. Sci. 17 (1994). 349-376. MR1273317 (95b:82041)
-
(1994)
Math. Methods Appl. Sci
, vol.17
, pp. 349-376
-
-
Illner, R.1
Zweifel, P.F.2
Lange, H.3
-
14
-
-
0000092377
-
-
T. Jahnke, C. Lubich, Error bounds for exponential operator splittings, BIT 40 (2000), 735-744. MR1799313 (2001k:65143)
-
T. Jahnke, C. Lubich, Error bounds for exponential operator splittings, BIT 40 (2000), 735-744. MR1799313 (2001k:65143)
-
-
-
-
15
-
-
0003862232
-
-
Reprint of the 1980 edition. Classics in Mathematics. Springer-Verlag, Berlin, MR1335452 96a:47025
-
T. Kato. Perturbation theory for linear operators, Reprint of the 1980 edition. Classics in Mathematics. Springer-Verlag, Berlin. 1995. MR1335452 (96a:47025)
-
(1995)
Perturbation theory for linear operators
-
-
Kato, T.1
-
16
-
-
1842733456
-
-
R. Kozlov, A. Kvaerno, B. Owren, The behaviour of the local error in splitting methods applied to stiff problems, J. Comput. Phys. 195 (2004), 576-593. MR2046751 (2004m:65082)
-
R. Kozlov, A. Kvaerno, B. Owren, The behaviour of the local error in splitting methods applied to stiff problems, J. Comput. Phys. 195 (2004), 576-593. MR2046751 (2004m:65082)
-
-
-
-
17
-
-
1042269655
-
A variational splitting integrator for quantum molecular dynamics
-
MR2056923
-
C. Lubich, A variational splitting integrator for quantum molecular dynamics, Appl. Numcr. Math. 48 (2004), 355-368. MR2056923
-
(2004)
Appl. Numcr. Math
, vol.48
, pp. 355-368
-
-
Lubich, C.1
-
18
-
-
85095839561
-
-
R.I. McLachlan, G.R.W. Quispel, Splitting methods, Acta Numer. 11 (2002). 341-434. MR2009376 (2004f:34001)
-
R.I. McLachlan, G.R.W. Quispel, Splitting methods, Acta Numer. 11 (2002). 341-434. MR2009376 (2004f:34001)
-
-
-
-
19
-
-
0001518684
-
On the construction and comparison of difference schemes
-
MR0235754 38:4057
-
G. Strang. On the construction and comparison of difference schemes, SIAM J. Numer. Anal. 5 (1968), 506-517. MR0235754 (38:4057)
-
(1968)
SIAM J. Numer. Anal
, vol.5
, pp. 506-517
-
-
Strang, G.1
-
20
-
-
4344669019
-
The nonlinear Schrödinger equation
-
Springer-Verlag, New York, MR1696311 2000f:35139
-
C. Sulem, P.-L. Sulem, The nonlinear Schrödinger equation. Self-ocusing and wave collapse, Applied Mathematical Sciences, 139, Springer-Verlag, New York, 1999. MR1696311 (2000f:35139)
-
(1999)
Self-ocusing and wave collapse, Applied Mathematical Sciences
, vol.139
-
-
Sulem, C.1
Sulem, P.-L.2
-
21
-
-
0022738251
-
Split-step methods for the solution of the nonlinear Schrödinger equation
-
MR842641 87h:65159
-
J.A.C. Weideman, B.M. Herbst, Split-step methods for the solution of the nonlinear Schrödinger equation, SIAM J. Numer. Anal. 23 (1986), 485-507. MR842641 (87h:65159)
-
(1986)
SIAM J. Numer. Anal
, vol.23
, pp. 485-507
-
-
Weideman, J.A.C.1
Herbst, B.M.2
|