-
1
-
-
6344289363
-
Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow
-
Bao W, Du Q. Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. SIAM Journal on Scientific Computing 2004;25:1674-1697.
-
(2004)
SIAM Journal on Scientific Computing
, vol.25
, pp. 1674-1697
-
-
Bao, W.1
Du, Q.2
-
3
-
-
51249193203
-
Structure of a quantized vortex in boson systems
-
Gross EP. Structure of a quantized vortex in boson systems. Nuovo Cimento 1961 20:454.
-
(1961)
Nuovo Cimento
, vol.20
, pp. 454
-
-
Gross, E.P.1
-
4
-
-
1642308839
-
An analysis of finite-dimensional approximations for the ground state solution of Bose-Einstein condensates
-
Zhou A. An analysis of finite-dimensional approximations for the ground state solution of Bose-Einstein condensates. Nonlinearity 2004;17:541-550.
-
(2004)
Nonlinearity
, vol.17
, pp. 541-550
-
-
Zhou, A.1
-
5
-
-
0242371113
-
A numerical study of the Schrödinger-Newton equations
-
Harrison R, Moroz I, Tod KP. A numerical study of the Schrödinger-Newton equations. Nonlinearity 2003;16:101-122.
-
(2003)
Nonlinearity
, vol.16
, pp. 101-122
-
-
Harrison, R.1
Moroz, I.2
Tod, K.P.3
-
6
-
-
0032349239
-
Spherically-symmetric solutions of the Schrödinger-Newton equations
-
Moroz I, Penrose R, Tod KP. Spherically-symmetric solutions of the Schrödinger-Newton equations. Classical and Quantum Gravity 1998;15:2733-2742.
-
(1998)
Classical and Quantum. Gravity
, vol.15
, pp. 2733-2742
-
-
Moroz, I.1
Penrose, R.2
Tod, K.P.3
-
7
-
-
16844379677
-
On gravity's role in quantum state reduction
-
Penrose R. On gravity's role in quantum state reduction. General Relativity and Gravitation 1996;28:581-600.
-
(1996)
General Relativity and Gravitation
, vol.28
, pp. 581-600
-
-
Penrose, R.1
-
10
-
-
33847043281
-
Thomas-Fermi and related theories of atoms and molecules
-
Lieb EH. Thomas-Fermi and related theories of atoms and molecules. Reviews of Modern Physics 1981;53:603-641.
-
(1981)
Reviews of Modern Physics
, vol.53
, pp. 603-641
-
-
Lieb, E.H.1
-
11
-
-
0000658214
-
Orbital-free kinetic-energy functionals for the nearly free electron gas
-
Wang L, Govind N, Carter E. Orbital-free kinetic-energy functionals for the nearly free electron gas. Physical Review B 1998;58:13465-13471.
-
(1998)
Physical Review B.
, vol.58
, pp. 13465-13471
-
-
Wang, L.1
Govind, N.2
Carter, E.3
-
12
-
-
0001689864
-
Kinetic energy functional of the electron density
-
Wang L, Teter MP. Kinetic energy functional of the electron density. Physical Review B 1992;45:13196-13220.
-
(1992)
Physical Review B.
, vol.45
, pp. 13196-13220
-
-
Wang, L.1
Teter, M.P.2
-
13
-
-
0000377022
-
Orbital-free kinetic-energy density functional theory
-
Schwartz SD ed., Kluwer: Dordrecht
-
Wang YA, Carter EA. Orbital-free kinetic-energy density functional theory. In Theoretical Methods in Condensed Phase Chemistry, Schwartz SD (ed.), Kluwer: Dordrecht, 2000;117-184.
-
(2000)
Theoretical Methods in Condensed Phase Chemistry
, pp. 117-184
-
-
Wang, Y.A.1
Carter, E.A.2
-
15
-
-
33846040104
-
The Thomas-Fermi theory of atoms, molecules and solids
-
Lieb EH, Simon B. The Thomas-Fermi theory of atoms, molecules and solids. Advances in Mathematics 1977;23:22-116.
-
(1977)
Advances in Mathematics
, vol.23
, pp. 22-116
-
-
Lieb, E.H.1
Simon, B.2
-
16
-
-
0001929193
-
Solutions of Hartree-Fock equations for Coulomb systems
-
Lions PL. Solutions of Hartree-Fock equations for Coulomb systems. Communications in Mathematical Physics 1987;109:33-97.
-
(1987)
Communications in Mathematical Physics
, vol.109
, pp. 33-97
-
-
Lions, P.L.1
-
17
-
-
84966243578
-
Finite element-Galerkin approximation for the eigenvalues and eigenvectors of selfadjoint problems
-
Babuska I, Osborn JE. Finite element-Galerkin approximation for the eigenvalues and eigenvectors of selfadjoint problems. Mathematics of Computation 1989;52:275-297.
-
(1989)
Mathematics of Computation
, vol.52
, pp. 275-297
-
-
Babuska, I.1
Osborn, J.E.2
-
18
-
-
54249116319
-
-
Part I, Ciarlet PG, Lions JL eds. North-Holland: Amsterdam
-
Babuska I, Osborn JE. Eigenvalue Problems, Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part I), Ciarlet PG, Lions JL (eds). North-Holland: Amsterdam, 1991;641-792.
-
(1991)
Eigenvalue Problems, Handbook of Numerical Analysis, Vol. II, Finite Element Methods
, pp. 641-792
-
-
Babuska, I.1
Osborn, J.E.2
-
21
-
-
0007417257
-
On convergence difficulities in the iterative Hartree-Fock procedure
-
Koutecky J, Bonacic V. On convergence difficulities in the iterative Hartree-Fock procedure. Journal of Chemical Physics 1972;55:2408-2413.
-
(1972)
Journal of Chemical Physics
, vol.55
, pp. 2408-2413
-
-
Koutecky, J.1
Bonacic, V.2
-
23
-
-
84986524957
-
Convergence acceleration of iterative sequences. The case of SCF iteration
-
Pulay P. Convergence acceleration of iterative sequences. The case of SCF iteration. Chemical Physics Letters 1980;73:393-398.
-
(1980)
Chemical Physics Letters
, vol.73
, pp. 393-398
-
-
Pulay, P.1
-
24
-
-
4043068419
-
Conjugate-gradient optimization method for orbital-free density functional calculations
-
Jiang H, Yang W. Conjugate-gradient optimization method for orbital-free density functional calculations. Journal of Chemical Physics 2004;121:2030-2036.
-
(2004)
Journal of Chemical Physics
, vol.121
, pp. 2030-2036
-
-
Jiang, H.1
Yang, W.2
-
25
-
-
33847042208
-
Finite dimensional approximations for the electronic ground state solution of a molecular system
-
Zhou A. Finite dimensional approximations for the electronic ground state solution of a molecular system. Mathematical Methods in the Applied Sciences 2007;30:429-447.
-
(2007)
Mathematical Methods in the Applied Sciences
, vol.30
, pp. 429-447
-
-
Zhou, A.1
-
27
-
-
0034336263
-
Real-space mesh techniques in density-function theory
-
Beck TL. Real-space mesh techniques in density-function theory. Reviews of Modern Physics 2000;72:1041-1080.
-
(2000)
Reviews of Modern Physics
, vol.72
, pp. 1041-1080
-
-
Beck, T.L.1
-
30
-
-
33646148469
-
Three real-space discretization techniques in electronic structure calculations
-
Torsti T, Eirola T, Enkovaara J, Hakala T, Havu P, Havu V, Hoynalanmaa T, Ignatius J, Lyly M, Makkonen I, Rantala TT, Ruokolainen J, Ruotsalainen K, Rasanen E, Saarikoski H, Puska MJ. Three real-space discretization techniques in electronic structure calculations. Physica Status Solidi B 2006;243:1016-1053.
-
(2006)
Physica Status Solidi B.
, vol.243
, pp. 1016-1053
-
-
Torsti, T.1
Eirola, T.2
Enkovaara, J.3
Hakala, T.4
Havu, P.5
Havu, V.6
Hoynalanmaa, T.7
Ignatius, J.8
Lyly, M.9
Makkonen, I.10
Rantala, T.T.11
Ruokolainen, J.12
Ruotsalainen, K.13
Rasanen, E.14
Saarikoski, H.15
Puska, M.J.16
-
31
-
-
4544272993
-
Ab initio molecular-dynamics study of liquid formamide
-
Tsuchida E. Ab initio molecular-dynamics study of liquid formamide. Journal of Chemical Physics 2004;121:4740-4746.
-
(2004)
Journal of Chemical Physics
, vol.121
, pp. 4740-4746
-
-
Tsuchida, E.1
-
34
-
-
0042887893
-
On the essential spectrum of Schrödinger operators
-
Gårding L. On the essential spectrum of Schrödinger operators. Journal of Functional Analysis 1983;52:1-10.
-
(1983)
Journal of Functional Analysis
, vol.52
, pp. 1-10
-
-
Gårding, L.1
-
35
-
-
0034400587
-
Schrödinger operators in the twentieth century
-
Simon B. Schrödinger operators in the twentieth century. Journal of Mathematical Physics 2000;41:3523-3555.
-
(2000)
Journal of Mathematical Physics
, vol.41
, pp. 3523-3555
-
-
Simon, B.1
-
37
-
-
0035952141
-
The ground state energy of the Schrödinger-Newton equation
-
Tod KP. The ground state energy of the Schrödinger-Newton equation. Physics Letters A 2001;280:173-176.
-
(2001)
Physics Letters A
, vol.280
, pp. 173-176
-
-
Tod, K.P.1
-
41
-
-
21344440985
-
Nonlinear instability of density-independent orbital-free kinetic energy functionals
-
Blanc X, Cances E. Nonlinear instability of density-independent orbital-free kinetic energy functionals. Journal of Chemical Physics 2005;122:214106-214120.
-
(2005)
Journal of Chemical Physics
, vol.122
, pp. 214106-214120
-
-
Blanc, X.1
Cances, E.2
-
43
-
-
77649323203
-
Multi-level adaptive corrections in finite dimensional approximations
-
Zhou A. Multi-level adaptive corrections in finite dimensional approximations. Journal of Computational Mathematics 2010;28:45-53.
-
(2010)
Journal of Computational Mathematics
, vol.28
, pp. 45-53
-
-
Zhou, A.1
-
46
-
-
35348939120
-
An efficient real space method for orbital-free density-functional theory
-
García-Cervera CJ. An efficient real space method for orbital-free density-functional theory. Communications in Computational Physics 2007;2:334-357.
-
(2007)
Communications in Computational Physics
, vol.2
, pp. 334-357
-
-
García-Cervera, C.J.1
-
47
-
-
11944256577
-
Iterative minimization techniques for ab-initio total-energy calculations: Molecular dynamics and conjugate-gradients
-
Payne MC, Teter MP, Allan DC, Arias TA, Joannopoulos JD. Iterative minimization techniques for ab-initio total-energy calculations: molecular dynamics and conjugate-gradients. Reviews of Modern Physics 1992;64:1045-1097.
-
(1992)
Reviews of Modern Physics
, vol.64
, pp. 1045-1097
-
-
Payne, M.C.1
Teter, M.P.2
Allan, D.C.3
Arias, T.A.4
Joannopoulos, J.D.5
-
48
-
-
50849094529
-
Convergence and optimal complexity of adaptive finite element eigenvalue computations
-
Dai X, Xu J, Zhou A. Convergence and optimal complexity of adaptive finite element eigenvalue computations. Numerische Mathematik 2008;110:313-355.
-
(2008)
Numerische Mathematik
, vol.110
, pp. 313-355
-
-
Dai, X.1
Xu, J.2
Zhou, A.3
-
49
-
-
33745677277
-
Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates
-
Mao D, Shen L, Zhou A. Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates. Advances in Computational Mathematics 2006;25:135-160.
-
(2006)
Advances in Computational Mathematics
, vol.25
, pp. 135-160
-
-
Mao, D.1
Shen, L.2
Zhou, A.3
-
51
-
-
33847073926
-
Error bars and quadratically convergent methods for the numerical simulation of the Hartree-Fock equations
-
Maday Y, Turinici G. Error bars and quadratically convergent methods for the numerical simulation of the Hartree-Fock equations. Numerische Mathematik 1998;94:121-147.
-
(1998)
Numerische Mathematik
, vol.94
, pp. 121-147
-
-
Maday, Y.1
Turinici, G.2
-
53
-
-
0001407199
-
A pseudopotential total energy study of impurity-promoted intergranular embrettlement
-
Goodwin L, Needs RJ, Heine V. A pseudopotential total energy study of impurity-promoted intergranular embrettlement. Journal of Physics: Condensed Matter 1990;2:351-365.
-
(1990)
Journal of Physics: Condensed Matter.
, vol.2
, pp. 351-365
-
-
Goodwin, L.1
Needs, R.J.2
Heine, V.3
-
54
-
-
42949178584
-
A remark on an efficient real space method for orbital-free density-functional theory
-
García-Cervera CJ. A remark on an efficient real space method for orbital-free density-functional theory. Communications in Computational Physics 2008;3:968-971.
-
(2008)
Communications in Computational Physics
, vol.3
, pp. 968-971
-
-
García-Cervera, C.J.1
-
55
-
-
0034676963
-
Numerical solution of the two-dimensional Gross-Pitaevskii equation for trapped interacting atoms
-
Adhikari SK. Numerical solution of the two-dimensional Gross-Pitaevskii equation for trapped interacting atoms. Physics Letters A 2000;265:91-96.
-
(2000)
Physics Letters A
, vol.265
, pp. 91-96
-
-
Adhikari, S.K.1
-
56
-
-
0037406449
-
Ground state solution of Bose-Einstein condensate by directly minimizing the energy functional
-
Bao W, Tang W. Ground state solution of Bose-Einstein condensate by directly minimizing the energy functional. Journal of Computational Physics 2003;187:230-254.
-
(2003)
Journal of Computational Physics
, vol.187
, pp. 230-254
-
-
Bao, W.1
Tang, W.2
|