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Yongyong Cai
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Mathematical theory and numerical methods for Bose-Einstein condensation
W Bao, Y Cai
Kinetic and Related Models 6 (1), 1-135, 2013
5772013
Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator
W BAO, Y CAI
SIAM J. Numer. Anal. 50 (2), 492-521, 2012
2052012
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
W Bao, Y Cai
Mathematics of Computation 82 (281), 99-128, 2013
1942013
Efficient numerical methods for computing ground states and dynamics of dipolar Bose–Einstein condensates
W Bao, Y Cai, H Wang
Journal of Computational Physics 229 (20), 7874-7892, 2010
1612010
Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions
Y Cai, M Rosenkranz, Z Lei, W Bao
Physical Review A—Atomic, Molecular, and Optical Physics 82 (4), 043623, 2010
1172010
A uniformly accurate multiscale time integrator pseudospectral method for the Klein--Gordon equation in the nonrelativistic limit regime
W Bao, Y Cai, X Zhao
SIAM Journal on Numerical Analysis 52 (5), 2488-2511, 2014
1092014
Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrödinger equation with wave operator
W Bao, Y Cai
SIAM Journal on Numerical Analysis 52 (3), 1103-1127, 2014
962014
Controlling phase separation of a two-component Bose-Einstein condensate by confinement
L Wen, WM Liu, Y Cai, JM Zhang, J Hu
Physical Review A—Atomic, Molecular, and Optical Physics 85 (4), 043602, 2012
902012
Ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction
W Bao, Y Cai
East Asia J. Appl. Math 1, 49-81, 2011
732011
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen–Cahn equation with nonlocal constraint
J Li, L Ju, Y Cai, X Feng
Journal of Scientific Computing 87, 1-32, 2021
702021
Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime
WZ Bao, YY Cai, XW Jia, J Yin
Science China Mathematics 59, 1461-1494, 2016
692016
Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime
W Bao, Y Cai, X Jia, Q Tang
Journal of Scientific Computing 71, 1094-1134, 2017
632017
Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows
Y Cai, J Shen
Mathematics of Computation 87 (313), 2057-2090, 2018
582018
Error estimates for time discretizations of Cahn–Hilliard and Allen–Cahn phase-field models for two-phase incompressible flows
Y Cai, H Choi, J Shen
Numerische Mathematik 137 (2), 417-449, 2017
462017
Breathing oscillations of a trapped impurity in a Bose gas
TH Johnson, M Bruderer, Y Cai, SR Clark, W Bao, D Jaksch
EPL -- Europhysics Letters 98, 2012
462012
Ground States and Dynamics of Spin-Orbit-Coupled Bose--Einstein Condensates
W Bao, Y Cai
SIAM Journal on Applied Mathematics 75 (2), 492-517, 2015
442015
A uniformly accurate multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime
W Bao, Y Cai, X Jia, Q Tang
SIAM Journal on Numerical Analysis 54 (3), 1785-1812, 2016
392016
Gross–Pitaevskii–Poisson equations for dipolar Bose–Einstein condensate with anisotropic confinement
W Bao, NB Abdallah, Y Cai
SIAM Journal on Mathematical Analysis 44 (3), 1713-1741, 2012
392012
Mathematical models and numerical methods for spinor Bose-Einstein condensates
W Bao, Y Cai
arXiv preprint arXiv:1709.03840, 2017
382017
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein--Gordon equation with weak nonlinearity
W Bao, Y Cai, Y Feng
SIAM Journal on Numerical Analysis 60 (4), 1962-1984, 2022
352022
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