I have conducted research in Bose-Einstein condensation; computational fluid dynamics; computational quantum physics and chemistry; hyperbolic conservation laws; multiscale modeling, simulation and applications; quantized vortices in superfluidity and superconductivity; numerical methods for problems in unbounded domains; finite element method for some nonlinear problems; numerical analysis and scientific computing; computational and applied mathematics in general.

**In refereed journals**# Submitted:

[105]

*Single-polymer `flyfishing' effect for nanoscale motors and machines: an exact worm-like-chain model study*(with N. Wang, R. Hou and Z. Wang), arXiv: .

[104]

*Computing the ground state and dynamics of the nonlinear Schroedinger equation with nonlocal interactions via the nonuniform FFT*(with S. Jiang, Q. Tang and Y. Zhang), arXiv: 1410.3584 (math.NA).

[103]

*Ground states and dynamics of spin-orbit-coupled Bose-Einstein condensates*(with Y. Cai), arXiv: 1407.5815 (math.ph).

[102]

*Sharp interface model for solid-state dewetting problems with weakly anisotropic surface energy*(with W. Jiang, D. J. Srolovitz, Y. Wang), arXiv: 1407.8331 (cond-mat.mtrl-sci).

[101]

*Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime*(with L. Le Treust and F. Mehats), arXiv: 1403.2884 (math.PH).

# Accepted:

[100]

*Mathematical models and numerical methods for Bose-Einstein condensation*, Proceeding of the Internaitonal Congress for Mathematicians 2014, to appear (arXiv: 1403.3884 (math.ph)).

# Published:

**2014**[99]

*A uniformly accurate multiscale time integrator pseudospectral method for the Klein-Gordon equation in the nonrelativistic limit regime*(with Y. Cai and X. Zhao),*SIAM J. Numer. Anal.*, Vol.**52**, pp. 2488-2511, 2014.

[98]

*Fast and accurate evaluation of nonlocal Coulomb and dipole-dipole interactions via the nonuniform FFT*(with L. Greengard and S. Jiang),*SIAM J. Sci. Comput.*, Vol.**36**, pp. B777-B794, 2014.

[97]

*Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations*(with X. Dong and X. Zhao),*J. Math. Study*, Vol.**47**, pp. 111-150, 2014.

[96]

*Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrodinger equation with wave operator*(with Y. Cai),*SIAM J. Numer. Anal.*, Vol.**52**, pp. 1103-1127, 2014.

[95]

*Numerical study of quantized vortex interaction in nonlinear Schroedinger equation on bounded domains*(with Q. Tang),*Multiscale Modeling and Simulation: a SIAM Interdisciplinary Journal*, Vol.**12**, pp. 411-439, 2014.

[94]

*A variational-difference numerical method for designing progressive-addition lenses*(with W. Jiang, Q. Tang and H. Wang),*Computer-Aided Design*, Vol.**48**, pp. 17-27, 2014.

**2013**[93]

*An exponential wave integrator pseudospectral method for the Klein-Gordon-Zakharov system*(with X. Dong and X. Zhao),*SIAM J. Sci. Comput.*, Vol.**35**, pp. A2903-A2927, 2013.

[92]

*A simple and efficient numerical method for computing the dynamics of rotating Bose-Einstein condensates via a rotating Lagrangian coordinate*(with D. Marahrens, Q. Tang and Y. Zhang),*SIAM J. Sci. Comput.*, Vol.**35**, pp. A2671-A2695, 2013.

[91]

*Dimension reduction of the Schrodinger equation with Coulomb and anisotropic confining potentials*(with H. Jian, N. J. Mauser and Y. Zhang),*SIAM J. Appl. Math.*, Vol.**73**, pp. 2100-2123, 2013.

[90]

*Computational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations*(with X. Antoine and C. Besse),*Comput. Phys. Commun.*, Vol.**184**, pp. 2621-2633, 2013 (**An Invited Feature Article**).

[89]

*Efficient methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations*(with I-L. Chern and Y. Zhang),*J. Comput. Phys.*, Vol.**253**, pp. 189-208, 2013.

[88] Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates (with Y. Cai and M. Rosenkranz),

*Phys. Rev. A*, Vol.**88**, 2013, article 013616.

[87]

*Numerical study of quantized vortex interaction in the Ginzburg-Landau equation on bounded domains*(with Q. Tang), Commun. Comput. Phys., Vol.**14**, pp. 819-850, 2013.

[86]

*Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrodinger equation*(with Q. Tang and Z. Xu),*J. Comput. Phys.*, Vol.**235**, pp. 423-445, 2013.

[85]

*Mathematical theory and numerical methods for Bose-Einstein condensation*(with Y. Cai),*Kinet. Relat. Mod.*, Vol.**6**, pp. 1-135, 2013 (**An Invited Review Paper**).

[84]

*Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation*(with Y. Cai),*Math. Comp.*, Vol.**82**, pp. 99-128, 2013.

**2012**[83]

*Subdiffusive spreading of a Bose-Einstein condensate in random potentials*(with B. Min, T. Li, and M. Rosenkranz),*Phys. Rev. A*, Vol.**86**, 2012, article 053612.

[82]

*Phase field approach for simulating solid-state dewetting problems*(with W. Jiang, C. V. Thompson and D. J. Srolovitz),*Acta Mater.*, Vol.**60**, pp. 5578-5592, 2012.

[81]

*Gross-Pitaevskii-Poisson equations for dipolar Bose-Einstein condensate with anisotropic confinement*(with N. Ben Abdallah and Y. Cai),*SIAM J. Math. Anal.*, Vol.**44**, pp. 1713-1741, 2012.

[80]

*Breathing oscillations of a trapped impurity in a Bose gas*(with T. J. Johnson, M. Bruderer, Y. Cai, S. R. Clark and D. Jaksch),*EPL -- Europhysics Letters*, Vol.**98**, 2012, article 26001.

[79]

*Uniform error estimates of finite difference methods for the nonlinear Schrodinger equation with wave operator*(with Y. Cai),*SIAM J Numer. Anal.*, Vol.**50**, pp. 492-521, 2012.

[78]

*Analysis and comparison of numerical methods for Klein-Gordon equation in nonrelativistic limit regime*(with X. Dong),*Numer. Math.*, Vol.**120**, pp. 189-229, 2012.

**2011**[77]

*Scattering and bound states in two-dimensional anisotropic potentials*(with M. Rosenkranz),*Phys. Rev. A*, Vol.**84**, 2011, article 050701(R).

[76]

*Numerical methods for computing ground state and dynamics of nonlinear relativistic Hartree equation for boson stars*(with X. Dong),*J. Comput. Phys.*, Vol.**230**, pp. 5449-5469, 2011.

[75]

*Ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction*(with Y. Cai),*East Asia Journal on Applied Mathematics*, Vol.**1**, pp. 49-81, 2011.

**2006 --- 2010**[74]

*Dynamical laws of the coupled Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates*(with Y. Zhang),*Methods and Applications of Analysis*, Vol.**17**, pp. 49-80, 2010.

[73]

*Singular limits of Klein-Gordon-Schrodinger equations to Schrodinger-Yukawa equations*(with X. Dong and S. Wang),*Multiscale Modeling and Simulation: a SIAM Interdisciplinary Journal*, Vol.**8**, pp. 1742-1769, 2010.

[72]

*Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions*(with Y. Cai, M. Rosenkranz and Z. Lei),*Phys. Rev. A*, Vol.**82**, 2010, article 043623.

[71]

*Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates*(with Y. Cai and H. Wang),*J. Comput. Phys.*, Vol.**229**, pp. 7874-7892, 2010.

[70]

*Comparisons between sine-Gordon equation and perturbed nonlinear Schrodinger equations for modeling light bullets beyond critical collapse*(with X. Dong and J. Xin),*Physica D*, Vol.**239**, pp. 1120-1134, 2010.

[69]

*A generalized-Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates*(with H. Li and J. Shen),*SIAM J. Sci. Comput.*, Vol.**31**, pp. 3685-3711, 2009.

[68]

*Symmetry breaking and self-trapping of a dipolar Bose-Einstein condensate in a double-well potential*(with B. Xiang, J. Gong, H. Pu and B. Li),*Phys. Rev. A*, Vol.**79**, 2009, article 013626.

[67]

*Numerical methods for computing the ground state of spin-1 Bose-Einstein condensates in uniform magnetic field*(with F. Y. Lim),*Phys. Rev. E*, Vol.**78**, 2008, article 066704.

[66]

*A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates*(with J. Shen),*J. Comput. Phys.*, Vol.**227**, pp. 9778-9793, 2008.

[65]

*Quantized vortex stability and interaction in the nonlinear wave equation*(with R. Zeng and Y. Zhang),*Physica D*, Vol.**237**, pp. 2391-2410, 2008.

[64]

*Self-trapping of Bose-Einstein condensates expanding in shallow optical lattices*(with M. Rosenkranz, D. Jaksch and F. Y. Lim),*Phys. Rev. A*, Vol.**77**, 2008, article 063607.

[63]

*Computing ground states of spin-1 Bose-Einstein condensates by the normalized gradient flow*(with F. Y. Lim),*SIAM J. Sci. Comput.*, Vol.**30**, No. 4, pp. 1925-1948, 2008.

[62]

*Self-trapping of impurities in Bose-Einstein condensates: Strong attractive and repulsive coupling*(with M. Bruderer and D. Jaksch),*EPL -- Europhysics Letters*, Vol.**82**, 2008, article 30004 (was chosen to be part of special online collection of most frequently downloaded articles on ultracold gases and related areas published in EPL, see details ).

[61]

*A uniformly convergent numerical method for singularly perturbed nonlinear eigenvalue problems*(with M.-H. Chai),*Commun. Comput. Phys.*, Vol.**4**, No. 1, pp. 135-160, 2008.

[60]

*Convergence rate of dimension reduction in Bose-Einstein condensates*(with Y. Ge, D. Jaksch, P. A. Markowich and R. M. Weishaeupl),*Comput. Phys. Commun.*, Vol.**177**, No. 11, pp. 832-850, 2007.

[59]

*The dynamics and interaction of quantized vortices in Ginzburg-Landau-Schrodinger equations*(with Q. Du and Y. Zhang),*SIAM J. Appl. Math.*, Vol.**67**, No. 6, pp. 1740-1775, 2007.

[58]

*Dynamics of vortices in weakly interacting Bose-Einstein condensates*(with A. Klein, D. Jaksch and Y. Zhang),*Phys. Rev. A*, Vol.**76**, 2007, article 043602.

[57]

*A mass and magnetization conservative and energy diminishing numerical method for computing ground state of spin-1 Bose-Einstein condensates*(with H. Wang),*SIAM J. Numer. Anal.*, Vol.**45**, No. 5, pp. 2177-2200, 2007.

[56]

*Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation*(with H. Li and Y. Zhang),*Physica D*, Vol.**234**, pp. 49-69, 2007.

[55]

*Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrodinger equation*(with Q. Du and Y. Zhang),*Eur. J. Appl. Math.*, Vol.**18**, pp. 607-630, 2007.

[54]

*Efficient and accurate numerical methods for the Klein-Gordon-Schrodinger equations*(with L. Yang),*J. Comput. Phys.*, Vol.**225**, No. 2, pp. 1863-1893, 2007.

[53]

*Energy and chemical potential asymptotics for the ground state of Bose-Einstein condensates in the semiclassical regime*(with F. Y. Lim and Y. Zhang),*Bulletin of the Institute of Mathematics, Academia Sinica*, Vol.**2**, No. 2, pp. 495-532, 2007.

[52]

*Dynamics of the center of mass in rotating Bose-Einstein condensates*(with Y. Zhang),*Appl. Numer. Math.*, Vol.**57**, No. 5-7, pp. 697-709, 2007.

[51]

*A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities*(with C. Zheng),*Commun. Comput. Phys.*, Vol.**2**, No. 1, pp. 123-140, 2007.

[50]

*Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates*(with I-L. Chern and F. Y. Lim),*J. Comput. Phys.*, Vol.**219**, No. 2, pp. 836-854, 2006.

[49]

*An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates*(with H. Wang),*J. Comput. Phys.*, Vol.**217**, No. 2, pp. 612-626, 2006.

[48]

*Dynamics of rotating Bose-Einstein condensates and their efficient and accurate numerical computation*(with Q. Du and Y. Zhang),*SIAM J. Appl. Math.*, Vol.**66**, No. 3, pp. 758-786, 2006.

**2000 --- 2005**[47]

*Dynamics of the ground state and central vortex states in Bose-Einstein condensation*(with Y. Zhang),*Math. Models Meth. Appl. Sci.*, Vol.**15**, No. 12, pp. 1863-1896, 2005.

[46]

*A fourth-order time-splitting Laguerre-Hermite pseudo-spectral method for Bose-Einstein condensates*(with J. Shen),*SIAM J. Sci. Comput.*, Vol.**26**, No. 6, pp. 2010-2028, 2005.

[45]

*On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments*(with P. A. Markowich, C. Schmeiser and R. M. Weishaupl ),*Math. Models Meth. Appl. Sci.*, Vol.**15**, No. 5, pp. 767-782, 2005.

[44]

*Continuous configuration time-dependent self-consistent field method for polyatomic quantum dynamical problems*(with D. H. Zhang, M. H. Yang and S.-Y. Lee),*J. Chem. Phys.*, Vol.**122**, No. 9, pp. 1101-1104, 2005.

[43]

*Ground, symmetric and central vortex states in rotating Bose-Einstein condensates*(with H. Wang and P. A. Markowich),*Comm. Math. Sci.*, Vol.**3**, No. 1, pp. 57-88, 2005.

[42]

*Efficient and stable numerical methods for the generalized and vector Zakharov System*, (with F. F. Sun),*SIAM J. Sci. Comput.*, Vol.**26**, No. 3, pp. 1057-1088, 2005.

[41]

*Numerical methods for the nonlinear Schrodinger equation with nonzero far-field conditions*,*Methods and Applications of Analysis*, Vol.**11**, No. 3, pp. 367-388, 2004.

[40]

*An efficient and stable numerical method for the Maxwell-Dirac system*(with X.-G. Li),*J. Comput. Phys.*, Vol.**199**, pp. 663-687, 2004.

[39]

*Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow*(with Q. Du),*SIAM J. Sci. Comput.*, Vol.**25**, No. 5. pp. 1674-1697, 2004.

[38]

*Ground states and dynamics of multi-component Bose-Einstein condensates*,*Multiscale Modeling and Simulation: a SIAM Interdisciplinary Journal*, Vol.**2**, No. 2. pp. 210-236, 2004.

[37]

*Three dimensional simulation of jet formation in collapsing condensates*(with D. Jaksch and P. A. Markowich),*J. Phys. B: At. Mol. Opt. Phys.*, Vol.**37**, No. 2, pp. 329-343, 2004.

[36]

*Effective one particle quantum dynamics of electrons: a numerical study of the Schrodinger-Poisson-X_\alpha model*(with N. J. Mauser, H. P. Stimming),*Comm. Math. Sci.*, Vol.**1**, No. 4. pp. 809-828, 2003.

[35]

*Approximation and comparison for motion by mean curvature with intersection points*,*Computers & Math. Appl.*, Vol.**46**, pp. 1211-1228, 2003.

[34] An explicit unconditionally stable numerical method for solving damped nonlinear Schrodinger equations with a focusing nonlinearity

*SIAM J. Numer. Anal.*, Vol.**41**, No. 4. pp. 1406-1426, 2003.

[33]

*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.

[32] Numerical methods for the generalized Zakharov system

*J. Comput. Phys.*, Vol.**190**, No. 1, pp. 201 - 228, 2003.

[31]

*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.

[30]

*Ground state solution of Bose-Einstein condensate by directly minimizing the energy functional*(with W. J. Tang),*J. Comput. Phys.*, Vol.**187**, No. 1, pp. 230 - 254, 2003.

[29]

*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.

[28]

*High-order I-stable central difference schemes for viscous compressible flows*(with J. Shi),*J. Comput. Math.*, Vol.**21**, pp. 101-112, 2003.

[27]

*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.

[26]

*Error estimates on the random projection methods for hyperbolic conservation laws with stiff reaction terms*(with S. Jin),*Appl. Numer. Math.*, Vol.**43**, No. 4, pp. 315-333, 2002.

[25]

*An economical finite element approximation of a generalized Newtonian flow*,*Comput. Methods Appl. Mech. Engrg.*, Vol.**191**, No. 33, pp. 3637-3648, 2002.

[24]

*The random projection method for stiff multi-species detonation capturing*(with S. Jin),*J. Comput. Phys.*, Vol.**178**, No. 1, pp. 37-57, 2002.

[23]

*On time-splitting spectral approximation for the Schrodinger equation in the semiclassical regime*(with J. Shi and P. A. Markowich),*J. Comput. Phys.*, Vol.**175**, pp. 487-524, 2002.

[22]

*The random projection method for stiff detonation capturing*(with S. Jin),*SIAM J. Sci. Comput.*, Vol.**23**, No. 3, pp. 1000-1026, 2001.

[21]

*Error estimates for the finite element approximation of linear elastic equations in an unbounded domain*(with H. Han),*Math. Comput.*, Vol.**70**, No. 236, pp. 1437-1459, 2001.

[20]

*On inf-sup conditions of mixed finite element formulations for acoustic fluids*(with X. Wang and K. J. Bathe),*Math. Mod. Meth. Appl. Sci.*, Vol.**11**, No. 5, pp. 883-901, 2001.

[19]

*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.

[18]

*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.

[17]

*The random projection method for hyperbolic systems with stiff reaction terms*(with S. Jin),*J. Comput. Phys.*, Vol.**163**, pp. 216-248, 2000.

[16]

*Artificial boundary conditions for incompressible Navier-Stokes equations: A well-posed result*,*Comput. Methods Appl. Mech. Engrg.*, Vol.**188**, pp. 595-611, 2000.

[15]

*The artificial boundary conditions for computing the flow around a submerged body*(with. X. Wen ),*Comput. Methods Appl. Mech. Engrg.*, Vol.**188**, pp. 473-482, 2000.[14]

*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.

[13]

*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.

**Before 2000**[12]

*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.

[11]

*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.

[10]

*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.

[9]

*The approximations of the exact boundary condition at an artificial boundary for linearized incompressible viscous flow*,*J. Comput. Math.*, Vol.**16**, pp. 239-256, 1998.

[8]

*The artificial boundary conditions for incompressible materials on an unbounded domain*(with H. Han),*Numer. Math.*, Vol.**77**, pp. 347-363, 1997.

[7]

*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.

[6]

*Artificial boundary conditions for two-dimensional incompressible viscous flows around an obstacle*,*Comput. Methods Appl. Mech. Engrg.*, Vol.**147**, pp. 263-273, 1997.

[5]

*Local artificial boundary conditions for the incompressible viscous flow in a slip channel*(with H. Han),*J. Comput. Math.*, Vol.**15**, pp. 335-344, 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.

**Refered Conference Proceedings and Chapters Books**[7]

*Analysis and computation for the semiclassical limits of the ground and excited states of the Gross-Pitaevskii equation*(with F. Y. Lim), Proc. Sympos. Appl. Math., Amer. Math. Soc., Vol. 67 (2009), pp. 195-215.

[6]

*Analysis and efficient computation for the dynamics of two-component Bose-Einstein condensates*, Contemporary Mathematics, American Mathematical Society, Vol. 473 (2008), pp. 1-26.

[5]

*The nonlinear Schroedinger equation and applications in Bose-Einstein condensation and plasma physics*, Chapter 3 in Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization (IMS Lecture Notes Series Volume 9), World Scientific (2007), pp. 141-240.

[4]

*Ground states and dynamics of rotating Bose-Einstein condensates*, Chapter 10 in Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photos, and Biological Systems. Series: Modeling and Simulation in Science, Engineering and Technology, Birkhauser (2006), pp. 215-255.

[3]

*Quantum kinetic theory: modeling and numerics for Bose-Einstein condensation*(with P. A. Markowich and L. Pareschi), Chapter 10 in Modeling and Computational Methods for Kinetic Equations. Series: Modeling and Simulation in Science, Engineering and Technology, Birkhauser (2004), pp. 287-321.

[2]

*The random projection method for stiff multi-species detonation computation*(with J. Shi), Proceedings of Hyperbolic Problems: Theory, Numerics, Applications, Birkhauser-Verlag (2001), pp. 139-148.

[1]

*The random projection method*(with J. Shi), Advances in Scientific Computing (Proceeding of the Workshop on Scientific Computing 99 in Hong Kong), Science Press (2001), pp.1-11.

[4]
* Quantized Vortex Stability and Dynamics in Superfluidity and
Superconductivity
* ,

[3]
* Modelling, algorithm and simulation of wave motion in
quantum and plasma physics
* ,

[2]
* Mathematical Analysis and Numerical Simulation for Bose-Einstein
Condensates
* ,

[3]
* Multiscale Modeling and Analysis for Materials Simulation
* (edited with Q. Du), World Scientific, 2011
(
* Book flyer and order form*).

[2]
* Kinetic and Related Models (KRM), Vol 4, No 4, 2011*
(Guest edited with A. Arnold, J. Dolbeault and P. Pietra),
American Institute of Mathematical Sciences, 2011.

[1]
* Dynamics in Models of Coarsening, Coagulation,
Condensation and Quantization
* (edited with J.-G. Liu), World Scientific, 2007.