Submitted:
[35]
Three Dimensional Simulation of Jet Formation in
Collapsing Condensates
(with D. Jaksch and P.A. Markowich), preprint.
[34]
Numerical Simulation of the Vector Zakharov System
for Multi-component Plasma
, preprint.
[33]
Numerical methods
for nonlinear Schroedinger equation under nonzero far-field
conditions, preprint.
Accepted:
[32]
Ground states and dynamics of multi-component
Bose-Einstein condensates
, SIAM Multiscale Modeling and Simulation, to appear.
[31]
Computing the ground state solution of
Bose-Einstein condensates by a normalized gradient flow
(with Q. Du), SIAM J. Sci. Comput. , to
appear.
Published:
[30]
An explicit unconditionally stable numerical method
for solving damped
nonlinear Schrodinger equations with a focusing nonlinearity
(with D. Jaksch), SIAM J. Numer. Anal.,
Vol. 41, No. 4. pp. 1406-1426, 2003.
[29]
Numerical study of time-splitting spectral discretizations of
nonlinear Schrodinger equations in the semi-classical regimes
(with S. Jin and P.A. Markowich ), SIAM J. Sci. Comput. ,
Vol. 25, No. 1. pp. 27-64, 2003.
[28]
Numerical methods for the generalized
Zakharov system
(with F. Sun and G.W. Wei), J. Comput. Phys.,
Vol. 190, No. 1, pp. 201 - 228, 2003.
[27]
Numerical solution of the Gross-Pitaevskii Equation for
Bose-Einstein condensation
(with D. Jaksch and P.A. Markowich), J. Comput. Phys.,
Vol. 187, No. 1, pp. 318 - 342, 2003.
[26]
Ground state solution of
Bose-Einstein condensate by directly minimizing the energy functional
(with W. Tang), J. Comput. Phys.,
Vol. 187, No. 1, pp. 230 - 254, 2003.
[25]
Error bounds for the finite element approximation of
the exterior Stokes equations in two dimensions
, IMA J. Numer. Anal. ,
Vol. 23, No. 1, pp. 125-148, 2003.
[24]
Error bounds for the finite element approximation of an
incompressible material in an unbounded domain (with H. Han),
Numer. Math. , Vol. 93, No. 3, pp. 415-444, 2003
(published online on March 8, 2002).
[23]
An economical finite element approximation of a generalized
Newtonian flow
, Comput. Methods Appl. Mech. Engrg. ,
Vol. 191 , No. 33, pp. 3637-3648, 2002.
[22]
The random projection method for stiff multi-species detonation
capturing (with S. Jin), J. Comput. Phys.,
Vol. 178, No. 1, pp. 37-57, 2002.
[21]
On time-splitting spectral approximation for the Schr\"{o}dinger
equation in the semiclassical regime (with J. Shi and
P.A. Markowich), J. Comput. Phys. , Vol. 175
, pp. 487-524, 2002.
[20]
The Random Projection Method for Stiff Detonation Capturing
(with S. Jin), SIAM J. Sci. Comput. ,
Vol. 23, No. 3, pp. 1000-1026,
2001.
[19]
Error estimates for the finite element approximation of linear elastic
equations in an unbounded domain (with H. Han),
Math. Comp. ,
Vol. 70,
No. 236, pp. 1437-1459, 2001.
[18]
On Inf-Sup Conditions of Mixed Finite Element Formulations
for Acoustic
Fluids (with X. Wang and K.J. Bathe), Math. Models
Methods Appl. Sci. , Vol. 11 ,
No. 5, pp. 883-901, 2001.
[17]
Numerical simulations of fracture problems by coupling the
FEM and the direct
method of lines (with H. Han and Z. Huang),
Comput. Methods
Appl. Mech. Engrg. , Vol. 190,
pp. 4831-4846, 2001.
[16]
Weakly compressible high-order I-stable central difference schemes for
incompressible viscous flows (with S. Jin),
Comput. Methods Appl.
Mech. Engrg., Vol. 190, pp. 5009-5026, 2001.
[15]
The Random Projection Method for Hyperbolic Systems with Stiff
Reaction Terms
(with S. Jin), J. Comput. Phys., Vol.
163, pp. 216-248, 2000.
[14]
Artificial boundary conditions for incompressible Navier-Stokes
equations: A
well-posed result, Comput. Methods Appl. Mech. Engrg. ,
Vol. 188 , pp. 595-611, 2000.
[13]
The artificial boundary conditions for computing the flow around a
submerged
body (with. Wen X.),
Comput. Methods Appl. Mech. Engrg. , Vol. 188,
pp. 473-482, 2000.
[12]
High-order local artificial boundary conditions for problems in
unbounded domains (with H. Han),
Comput. Methods Appl. Mech. Engrg., Vol. 188,
pp. 455-471, 2000.
[11]
Error estimates for the finite element approximation of problems
in unbounded
domains (with H. Han),
SIAM J. Numer. Anal., Vol. 37, No. 4,
pp. 1101-1119, 2000.
[10]
The discrete artificial boundary condition on a polygonal artificial
boundary for the exterior problem of Poisson equation by using the
direct method
of lines (with H. Han),
Comput. Methods Appl. Mech. Engrg., Vol. 179,
pp. 345-360, 1999.
[9]
The direct method of lines for the problem of infinite elastic
foundation (with H. Han), Comput. Methods
Appl. Mech. Engrg., Vol. 175, pp. 157-173,
1999.
[8]
A priori and posteriori error bounds for nonconforming linear
finite element
approximation of a non-Newtonian flow (with J. W. Barrett),
M^2AN Math. Model. Numer. Anal., Vol. 32,
pp. 843-858, 1998.
[7]
The artificial boundary conditions for incompressible materials on an
unbounded domain (with H. Han), Numer. Math.,
Vol. 77, pp. 347-363,
1997.
[6]
Numerical simulation for the problem of infinite elastic
foundation (with H. Han and T. Wang),
Comput. Methods Appl. Mech. Engrg., Vol. 147,
pp. 369-385, 1997.
[5]
Artificial boundary conditions for two-dimensional incompressible
viscous flows around an obstacle,
Comput. Methods Appl. Mech. Engrg., Vol. 147,
pp. 263-273, 1997.
[4]
Nonlocal artificial boundary conditions for the incompressible
viscous flow in a channel using spectral techniques
(with H. Han), J. Comput. Phys., Vol. 126,
pp. 52-63, 1996.
[3]
An artificial boundary condition for the incompressible viscous
flows using the method of lines (with H. Han),
Int. J. Numer. Methods Fluids,
Vol. 22, pp. 483-493, 1996.
[2]
An artificial boundary condition for the incompressible viscous
flows in a
no-slip channel (with H. Han), J. Comput. Math.,
Vol. 13, pp. 51-65, 1995.
[1]
A discrete artificial boundary condition for steady incompressible
viscous flows in a no-slip channel using a fast iterative method
(with H. Han and J. Lu), J. Comput. Phys., Vol.
114, pp. 201-208, 1994.