Edit Profile (opens in new tab) Bao, Weizhu Compute Distance To: Compute Author ID: bao.weizhu Published as: Bao, Weizhu; Bao, WeiZhu; Bao, W. more...less Homepage: http://ww1.math.nus.edu.sg/staff.aspx?s=matbaowz Documents Indexed: 138 Publications since 1994 3 Contributions as Editor Co-Authors: 78 Co-Authors with 124 Joint Publications 2,979 Co-Co-Authors all top 5 Co-Authors 14 single-authored 16 Cai, Yongyong 15 Han, Houde 12 Tang, Qinglin 11 Zhang, Yanzhi 9 Jin, Shi 8 Markowich, Peter Alexander 7 Su, Chunmei 6 Dong, Xuanchun 6 Zhao, Quan 6 Zhao, Xiaofei 4 Du, Qiang 4 Lim, Fong Yin 4 Ruan, Xinran 4 Shen, Jie 4 Wang, Hanquan 4 Yin, Jia 3 Carles, Rémi 3 Jaksch, Dieter 3 Jia, Xiaowei 3 Zhang, Yong 2 Chern, I-Liang 2 Feng, Yue 2 Huang, Zhongyi 2 Jiang, Shidong 2 Le Treust, Loïc 2 Li, Hailiang 2 Mauser, Norbert Julius 2 Méhats, Florian 2 Miles, Ronald N. 2 Sun, Fangfang 2 Weishäupl, Rada-Maria 2 Xu, Zhiguo 2 Zeng, Rong 2 Zheng, Chunxiong 1 Antoine, Xavier 1 Barrett, John W. 1 Bathe, Klaus-Jürgen 1 Ben Abdallah, Naoufel 1 Besse, Christophe 1 Cai, Zhenning 1 Chai, Ming-Huang 1 Chen, Lizhen 1 Chen, Rui 1 Garcke, Harald 1 Garrison, M. R. 1 Ge, Yunyi 1 Greengard, Leslie F. 1 Ha, Seung-Yeal 1 Huang, Jingfang 1 Jian, Huaiyu 1 Jiang, Xiaoyun 1 Kim, Dohyun 1 Li, Xianggui 1 Li, Yifei 1 Lin, Bo 1 Liu, Jianguo 1 Lu, Jinfu 1 Ma, Ying 1 Marahrens, Daniel 1 Mishra, Siddhartha 1 Nürnberg, Robert 1 Pareschi, Lorenzo 1 Schmeiser, Christian 1 Sheng, Changtao 1 Shi, Shaoyun 1 Srolovitz, David J. 1 Stimming, Hans Peter 1 Tang, Tao 1 Tang, Weijun 1 Wang, Shu 1 Wang, Xiaodong 1 Wang, Yan 1 Wang, Yan 1 Wei, Guowei 1 Wen, Zaiwen 1 Wu, Xinming 1 Xin, Jack X. 1 Xin, Wen 1 Yi, Wenfan 1 Zhuang, Chijie all top 5 Serials 25 Journal of Computational Physics 13 SIAM Journal on Scientific Computing 10 Computer Methods in Applied Mechanics and Engineering 10 SIAM Journal on Numerical Analysis 9 Communications in Computational Physics 6 SIAM Journal on Applied Mathematics 5 Mathematics of Computation 5 Numerische Mathematik 5 Physica D 4 Journal of Computational Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Multiscale Modeling & Simulation 3 Communications in Mathematical Sciences 3 Kinetic and Related Models 2 Computer Physics Communications 2 IMA Journal of Numerical Analysis 2 Journal of Sound and Vibration 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Methods and Applications of Analysis 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Nonlinearity 1 Applied Mathematics and Computation 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Asymptotic Analysis 1 Journal of Tsinghua University. Science and Technology 1 European Journal of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Study 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 1 Science China. Mathematics 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences all top 5 Fields 98 Numerical analysis (65-XX) 86 Partial differential equations (35-XX) 44 Quantum theory (81-XX) 35 Statistical mechanics, structure of matter (82-XX) 25 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 2,816 times in 1,088 Documents Cited by ▼ Year ▼ Mathematical theory and numerical methods for Bose-Einstein condensation. Zbl 1266.82009Bao, Weizhu; Cai, Yongyong 188 2013 On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112Bao, Weizhu; Jin, Shi; Markowich, Peter A. 163 2002 Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025Bao, Weizhu; Du, Qiang 154 2004 Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A. 127 2003 Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130Antoine, Xavier; Bao, Weizhu; Besse, Christophe 110 2013 Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator. Zbl 1246.35188Bao, Weizhu; Cai, Yongyong 85 2012 Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099Bao, Weizhu; Jin, Shi; Markowich, Peter A. 81 2003 Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. Zbl 1264.65146Bao, Weizhu; Cai, Yongyong 81 2013 Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034Bao, Weizhu 77 2004 Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1248.65087Bao, Weizhu; Dong, Xuanchun 76 2012 A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates. Zbl 1084.35083Bao, Weizhu; Shen, Jie 67 2005 Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates. Zbl 1198.82036Bao, Weizhu; Cai, Yongyong; Wang, Hanquan 58 2010 Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004Bao, Weizhu; Wang, Hanquan; Markowich, Peter A. 53 2005 Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations. Zbl 1125.65093Bao, Weizhu; Yang, Li 53 2007 Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation. Zbl 1141.35052Bao, Weizhu; Du, Qiang; Zhang, Yanzhi 49 2006 Ground-state solution of Bose–Einstein condensate by directly minimizing the energy functional. Zbl 1028.82500Bao, Weizhu; Tang, Weijun 46 2003 A uniformly accurate multiscale time integrator pseudospectral method for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1310.65131Bao, Weizhu; Cai, Yongyong; Zhao, Xiaofei 46 2014 An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity. Zbl 1054.35088Bao, Weizhu; Jaksch, Dieter 44 2003 Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates. Zbl 1330.82031Bao, Weizhu; Chern, I-Liang; Lim, Fong Yin 43 2006 An efficient and stable numerical method for the Maxwell–Dirac system. Zbl 1056.81080Bao, Weizhu; Li, Xianggui 38 2004 The random projection method for hyperbolic conservation laws with stiff reaction terms. Zbl 0966.65073Bao, Weizhu; Jin, Shi 35 2000 Numerical methods for the generalized Zakharov system. Zbl 1236.76043Bao, Weizhu; Sun, Fangfang; Wei, Guo Wei 34 2003 An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates. Zbl 1160.82343Bao, Weizhu; Wang, Hanquan 34 2006 Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation. Zbl 1130.82023Zhang, Yanzhi; Bao, Weizhu; Li, Hailiang 34 2007 Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrödinger equation with wave operator. Zbl 1339.35279Bao, Weizhu; Cai, Yongyong 33 2014 Ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction. Zbl 1290.35236Bao, Weizhu; Cai, Yongyong 33 2011 A generalized-Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates. Zbl 1205.82096Bao, Weizhu; Li, Hailiang; Shen, Jie 33 2009 Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime. Zbl 1365.65208Bao, WeiZhu; Cai, YongYong; Jia, XiaoWei; Yin, Jia 33 2016 An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1294.65095Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei 32 2013 A simple and efficient numerical method for computing the dynamics of rotating Bose–Einstein condensates via rotating Lagrangian coordinates. Zbl 1286.35213Bao, Weizhu; Marahrens, Daniel; Tang, Qinglin; Zhang, Yanzhi 27 2013 Efficient and stable numerical methods for the generalized and vector Zakharov system. Zbl 1076.35114Bao, Weizhu; Sun, Fangfang 27 2005 Computing ground states of spin-1 Bose-Einstein condensates by the normalized gradient flow. Zbl 1173.81028Bao, Weizhu; Lim, Fong Yin 26 2008 Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation. Zbl 1291.35329Bao, Weizhu; Tang, Qinglin; Xu, Zhiguo 26 2013 Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime. Zbl 1370.81053Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin 25 2017 Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-X\(_\alpha\) model. Zbl 1160.81497Bao, Weizhu; Mauser, N. J.; Stimming, H. P. 24 2003 A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation. Zbl 1361.65080Bao, Weizhu; Zhao, Xiaofei 22 2017 Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei 21 2014 A mass and magnetization conservative and energy-diminishing numerical method for computing ground state of spin-1 Bose-Einstein condensates. Zbl 1149.82018Bao, Weizhu; Wang, Hanquan 21 2007 Dynamics of the ground state and central vortex states in Bose-Einstein condensation. Zbl 1154.82313Bao, Weizhu; Zhang, Yanzhi 20 2005 A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime. Zbl 1373.82086Bao, Weizhu; Zhao, Xiaofei 20 2016 A regularized Newton method for computing ground states of Bose-Einstein condensates. Zbl 1433.82025Wu, Xinming; Wen, Zaiwen; Bao, Weizhu 20 2017 Error estimates for the finite element approximation of problems in unbounded domains. Zbl 1001.65118Han, Houde; Bao, Weizhu 18 2000 Ground states and dynamics of spin-orbit-coupled Bose-Einstein condensates. Zbl 1335.35227Bao, Weizhu; Cai, Yongyong 18 2015 Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. Zbl 1220.83023Bao, Weizhu; Dong, Xuanchun 18 2011 Mathematical models and numerical methods for Bose-Einstein condensation. Zbl 1373.35283Bao, Weizhu 17 2014 A parametric finite element method for solid-state dewetting problems with anisotropic surface energies. Zbl 1378.76043Bao, Weizhu; Jiang, Wei; Wang, Yan; Zhao, Quan 16 2017 A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method. Zbl 0810.76052Han, Houde; Lu, Jinfu; Bao, Weizhu 15 1994 A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates. Zbl 1149.76039Bao, Weizhu; Shen, Jie 15 2008 Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205Bao, Weizhu; Dong, Xuanchun; Xin, Jack 15 2010 Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations. Zbl 1349.82069Bao, Weizhu; Chern, I-Liang; Zhang, Yanzhi 15 2013 Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation. Zbl 1416.35225Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 15 2019 Fast and accurate evaluation of nonlocal Coulomb and dipole-dipole interactions via the nonuniform FFT. Zbl 1307.65184Jiang, Shidong; Greengard, Leslie; Bao, Weizhu 14 2014 A uniformly accurate multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime. Zbl 1346.35171Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin 14 2016 An artificial boundary condition for two-dimensional incompressible viscous flows using the method of lines. Zbl 0865.76062Han, Houde; Bao, Weizhu 14 1996 Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation. Zbl 1202.35311Zhang, Yanzhi; Bao, Weizhu; Du, Qiang 14 2007 A priori and a posteriori error bounds for a nonconforming linear finite element approximation of a non-Newtonian flow. Zbl 0912.76025Bao, Weizhu; Barrett, John W. 13 1998 An artificial boundary condition for the incompressible viscous flows in a no-slip channel. Zbl 0818.76067Han, Houde; Bao, Weizhu 12 1995 The random projection method for stiff detonation capturing. Zbl 0997.80013Bao, Weizhu; Jin, Shi 12 2001 The random projection method for stiff multispecies detonation capturing. Zbl 1017.76073Bao, Weizhu; Jin, Shi 12 2002 Gross-Pitaevskii-Poisson equations for dipolar Bose-Einstein condensate with anisotropic confinement. Zbl 1246.35187Bao, Weizhu; Ben Abdallah, Naoufel; Cai, Yongyong 12 2012 Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT. Zbl 1388.65115Bao, Weizhu; Tang, Qinglin; Zhang, Yong 12 2016 The dynamics and interaction of quantized vortices in the Ginzburg-Landau-Schrödinger equation. Zbl 1220.35165Zhang, Yanzhi; Bao, Weizhu; Du, Qiang 11 2007 Stable equilibria of anisotropic particles on substrates: a generalized Winterbottom construction. Zbl 1386.74059Bao, Weizhu; Jiang, Wei; Srolovitz, David J.; Wang, Yan 11 2017 Numerical simulation for the problem of infinite elastic foundation. Zbl 0896.73058Han, Houde; Bao, Weizhu; Wang, Tao 10 1997 Numerical methods for the nonlinear Schrödinger equation with nonzero far-field conditions. Zbl 1090.65116Bao, Weizhu 10 2004 Singular limits of Klein-Gordon-Schrödinger equations to Schrödinger-Yukawa equations. Zbl 1210.35223Bao, Weizhu; Dong, Xuanchun; Wang, Shu 10 2010 Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT. Zbl 1354.65200Bao, Weizhu; Jiang, Shidong; Tang, Qinglin; Zhang, Yong 9 2015 Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 9 2019 The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines. Zbl 0949.65127Han, Houde; Bao, Weizhu 8 1999 High-order local artificial boundary conditions for problems in unbounded domains. Zbl 0957.65096Bao, Weizhu; Han, Houde 8 2000 Dimension reduction of the Schrödinger equation with Coulomb and anisotropic confining potentials. Zbl 1294.35130Bao, Weizhu; Jian, Huaiyu; Mauser, Norbert J.; Zhang, Yong 8 2013 A parametric finite element method for solid-state dewetting problems in three dimensions. Zbl 1430.74056Zhao, Quan; Jiang, Wei; Bao, Weizhu 8 2020 Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1453.65278Bao, Weizhu; Zhao, Xiaofei 8 2019 A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation. Zbl 1433.65234Bao, Weizhu; Yin, Jia 8 2019 Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime. Zbl 1387.65082Bao, Weizhu; Su, Chunmei 8 2018 An economical finite element approximation of generalized Newtonian flows. Zbl 1101.76351Bao, Weizhu 7 2002 Dynamics of the center of mass in rotating Bose-Einstein condensates. Zbl 1190.82049Zhang, Yanzhi; Bao, Weizhu 7 2007 On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments. Zbl 1075.35073Bao, Weizhu; Markowich, Peter A.; Schmeiser, Christian; Weishäupl, Rada M. 7 2005 Numerical study of quantized vortex interactions in the nonlinear Schrödinger equation on bounded domains. Zbl 1320.35317Bao, Weizhu; Tang, Qinglin 7 2014 Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime. Zbl 1440.35286Bao, Weizhu; Cai, Yongyong; Yin, Jia 7 2020 Sharp-interface model for simulating solid-state dewetting in three dimensions. Zbl 1440.74153Jiang, Wei; Zhao, Quan; Bao, Weizhu 7 2020 Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity. Zbl 07418058Bao, Weizhu; Feng, Yue; Yi, Wenfan 7 2019 Nonlocal artificial boundary conditions for the incompressible viscous flow in a channel using spectral techniques. Zbl 0853.76054Bao, Weizhu; Han, Houde 6 1996 Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. Zbl 0997.74060Han, Houde; Bao, Weizhu 6 2001 Numerical study of quantized vortex interaction in the Ginzburg-Landau equation on bounded domains. Zbl 1388.65046Bao, Weizhu; Tang, Qinglin 6 2013 Dynamical laws of the coupled Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates. Zbl 1206.35225Bao, Weizhu; Zhang, Yanzhi 6 2010 A uniformly and optimally accurate method for the Zakharov system in the subsonic limit regime. Zbl 1390.35317Bao, Weizhu; Su, Chunmei 6 2018 The artificial boundary conditions for incompressible materials in an unbounded domain. Zbl 0892.73062Han, H.; Bao, W. 5 1997 Weakly compressible high-order \(I\)-stable central difference schemes for incompressible viscous flows. Zbl 1054.76060Bao, Weizhu; Jin, Shi 5 2001 The nonlinear Schrödinger equation and applications in Bose-Einstein condensation and plasma physics. Zbl 1140.82037Bao, Weizhu 5 2007 Quantized vortex stability and interaction in the nonlinear wave equation. Zbl 1147.82037Bao, Weizhu; Zeng, Rong; Zhang, Yanzhi 5 2008 A uniformly convergent numerical method for singularly perturbed nonlinear eigenvalue problems. Zbl 1364.81015Bao, Weizhu; Chai, Ming-Huang 5 2008 A structure-preserving parametric finite element method for surface diffusion. Zbl 07423173Bao, Weizhu; Zhao, Quan 5 2021 The direct method of lines for the problem of infinite elastic foundation. Zbl 0947.74076Bao, Weizhu; Han, Houde 4 1999 Approximation and comparison for motion by mean curvature with intersection points. Zbl 1049.65012Bao, Weizhu 4 2003 Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A. 4 2004 Energy and chemical potential asymptotics for the ground state of Bose-Einstein condensates in the semiclassical regime. Zbl 1132.82003Bao, Weizhu; Lim, Fong Yin; Zhang, Yanzhi 4 2007 A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities. Zbl 1164.78320Bao, Weizhu; Zheng, Chunxiong 4 2007 Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime. Zbl 1362.35278Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 4 2017 On the inf-sup condition of mixed finite element formulations for acoustic fluids. Zbl 1018.76023Bao, Weizhu; Wang, Xiaodong; Bathe, Klaus-Jürgen 3 2001 Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. Zbl 07473345Bao, Weizhu; Feng, Yue; Su, Chunmei 1 2022 A structure-preserving parametric finite element method for surface diffusion. Zbl 07423173Bao, Weizhu; Zhao, Quan 5 2021 Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic regime without magnetic potential. Zbl 1462.35318Bao, Weizhu; Cai, Yongyong; Yin, Jia 2 2021 A parametric finite element method for solid-state dewetting problems in three dimensions. Zbl 1430.74056Zhao, Quan; Jiang, Wei; Bao, Weizhu 8 2020 Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime. Zbl 1440.35286Bao, Weizhu; Cai, Yongyong; Yin, Jia 7 2020 Sharp-interface model for simulating solid-state dewetting in three dimensions. Zbl 1440.74153Jiang, Wei; Zhao, Quan; Bao, Weizhu 7 2020 An efficient and accurate MPI-based parallel simulator for streamer discharges in three dimensions. Zbl 1453.65255Lin, Bo; Zhuang, Chijie; Cai, Zhenning; Zeng, Rong; Bao, Weizhu 3 2020 Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation. Zbl 1416.35225Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 15 2019 Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 9 2019 Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1453.65278Bao, Weizhu; Zhao, Xiaofei 8 2019 A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation. Zbl 1433.65234Bao, Weizhu; Yin, Jia 8 2019 Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity. Zbl 07418058Bao, Weizhu; Feng, Yue; Yi, Wenfan 7 2019 Computing ground states of Bose-Einstein condensates with higher order interaction via a regularized density function formulation. Zbl 1439.35436Bao, Weizhu; Ruan, Xinran 1 2019 Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system. Zbl 1453.35027Bao, Weizhu; Ha, Seung-Yeal; Kim, Dohyun; Tang, Qinglin 1 2019 Fundamental gaps of the fractional Schrödinger operator. Zbl 1429.35195Bao, Weizhu; Ruan, Xinran; Shen, Jie; Sheng, Changtao 1 2019 Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime. Zbl 1387.65082Bao, Weizhu; Su, Chunmei 8 2018 A uniformly and optimally accurate method for the Zakharov system in the subsonic limit regime. Zbl 1390.35317Bao, Weizhu; Su, Chunmei 6 2018 Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes. Zbl 1405.65093Bao, Weizhu; Su, Chunmei 3 2018 Mathematical models and numerical methods for spinor Bose-Einstein condensates. Zbl 1475.65064Bao, Weizhu; Cai, Yongyong 2 2018 Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime. Zbl 1370.81053Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin 25 2017 A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation. Zbl 1361.65080Bao, Weizhu; Zhao, Xiaofei 22 2017 A regularized Newton method for computing ground states of Bose-Einstein condensates. Zbl 1433.82025Wu, Xinming; Wen, Zaiwen; Bao, Weizhu 20 2017 A parametric finite element method for solid-state dewetting problems with anisotropic surface energies. Zbl 1378.76043Bao, Weizhu; Jiang, Wei; Wang, Yan; Zhao, Quan 16 2017 Stable equilibria of anisotropic particles on substrates: a generalized Winterbottom construction. Zbl 1386.74059Bao, Weizhu; Jiang, Wei; Srolovitz, David J.; Wang, Yan 11 2017 Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime. Zbl 1362.35278Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 4 2017 Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime. Zbl 1365.65208Bao, WeiZhu; Cai, YongYong; Jia, XiaoWei; Yin, Jia 33 2016 A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime. Zbl 1373.82086Bao, Weizhu; Zhao, Xiaofei 20 2016 A uniformly accurate multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime. Zbl 1346.35171Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin 14 2016 Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT. Zbl 1388.65115Bao, Weizhu; Tang, Qinglin; Zhang, Yong 12 2016 The kinematic effects of the defects in liquid crystal dynamics. Zbl 1373.76011Chen, Rui; Bao, Weizhu; Zhang, Hui 1 2016 Ground states and dynamics of spin-orbit-coupled Bose-Einstein condensates. Zbl 1335.35227Bao, Weizhu; Cai, Yongyong 18 2015 Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT. Zbl 1354.65200Bao, Weizhu; Jiang, Shidong; Tang, Qinglin; Zhang, Yong 9 2015 Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime. Zbl 1308.35263Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 2 2015 A uniformly accurate multiscale time integrator pseudospectral method for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1310.65131Bao, Weizhu; Cai, Yongyong; Zhao, Xiaofei 46 2014 Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrödinger equation with wave operator. Zbl 1339.35279Bao, Weizhu; Cai, Yongyong 33 2014 Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei 21 2014 Mathematical models and numerical methods for Bose-Einstein condensation. Zbl 1373.35283Bao, Weizhu 17 2014 Fast and accurate evaluation of nonlocal Coulomb and dipole-dipole interactions via the nonuniform FFT. Zbl 1307.65184Jiang, Shidong; Greengard, Leslie; Bao, Weizhu 14 2014 Numerical study of quantized vortex interactions in the nonlinear Schrödinger equation on bounded domains. Zbl 1320.35317Bao, Weizhu; Tang, Qinglin 7 2014 Mathematical theory and numerical methods for Bose-Einstein condensation. Zbl 1266.82009Bao, Weizhu; Cai, Yongyong 188 2013 Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130Antoine, Xavier; Bao, Weizhu; Besse, Christophe 110 2013 Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. Zbl 1264.65146Bao, Weizhu; Cai, Yongyong 81 2013 An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1294.65095Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei 32 2013 A simple and efficient numerical method for computing the dynamics of rotating Bose–Einstein condensates via rotating Lagrangian coordinates. Zbl 1286.35213Bao, Weizhu; Marahrens, Daniel; Tang, Qinglin; Zhang, Yanzhi 27 2013 Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation. Zbl 1291.35329Bao, Weizhu; Tang, Qinglin; Xu, Zhiguo 26 2013 Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations. Zbl 1349.82069Bao, Weizhu; Chern, I-Liang; Zhang, Yanzhi 15 2013 Dimension reduction of the Schrödinger equation with Coulomb and anisotropic confining potentials. Zbl 1294.35130Bao, Weizhu; Jian, Huaiyu; Mauser, Norbert J.; Zhang, Yong 8 2013 Numerical study of quantized vortex interaction in the Ginzburg-Landau equation on bounded domains. Zbl 1388.65046Bao, Weizhu; Tang, Qinglin 6 2013 Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator. Zbl 1246.35188Bao, Weizhu; Cai, Yongyong 85 2012 Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1248.65087Bao, Weizhu; Dong, Xuanchun 76 2012 Gross-Pitaevskii-Poisson equations for dipolar Bose-Einstein condensate with anisotropic confinement. Zbl 1246.35187Bao, Weizhu; Ben Abdallah, Naoufel; Cai, Yongyong 12 2012 Ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction. Zbl 1290.35236Bao, Weizhu; Cai, Yongyong 33 2011 Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. Zbl 1220.83023Bao, Weizhu; Dong, Xuanchun 18 2011 Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates. Zbl 1198.82036Bao, Weizhu; Cai, Yongyong; Wang, Hanquan 58 2010 Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205Bao, Weizhu; Dong, Xuanchun; Xin, Jack 15 2010 Singular limits of Klein-Gordon-Schrödinger equations to Schrödinger-Yukawa equations. Zbl 1210.35223Bao, Weizhu; Dong, Xuanchun; Wang, Shu 10 2010 Dynamical laws of the coupled Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates. Zbl 1206.35225Bao, Weizhu; Zhang, Yanzhi 6 2010 A generalized-Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates. Zbl 1205.82096Bao, Weizhu; Li, Hailiang; Shen, Jie 33 2009 Analysis and computation for the semiclassical limits of the ground and excited states of the Gross-Pitaevskii equation. Zbl 1186.65146Bao, Weizhu; Lim, Fong Yin 1 2009 Computing ground states of spin-1 Bose-Einstein condensates by the normalized gradient flow. Zbl 1173.81028Bao, Weizhu; Lim, Fong Yin 26 2008 A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates. Zbl 1149.76039Bao, Weizhu; Shen, Jie 15 2008 Quantized vortex stability and interaction in the nonlinear wave equation. Zbl 1147.82037Bao, Weizhu; Zeng, Rong; Zhang, Yanzhi 5 2008 A uniformly convergent numerical method for singularly perturbed nonlinear eigenvalue problems. Zbl 1364.81015Bao, Weizhu; Chai, Ming-Huang 5 2008 Analysis and efficient computation for the dynamics of two-component Bose-Einstein condensates. Zbl 1159.35404Bao, Weizhu 1 2008 Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations. Zbl 1125.65093Bao, Weizhu; Yang, Li 53 2007 Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation. Zbl 1130.82023Zhang, Yanzhi; Bao, Weizhu; Li, Hailiang 34 2007 A mass and magnetization conservative and energy-diminishing numerical method for computing ground state of spin-1 Bose-Einstein condensates. Zbl 1149.82018Bao, Weizhu; Wang, Hanquan 21 2007 Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation. Zbl 1202.35311Zhang, Yanzhi; Bao, Weizhu; Du, Qiang 14 2007 The dynamics and interaction of quantized vortices in the Ginzburg-Landau-Schrödinger equation. Zbl 1220.35165Zhang, Yanzhi; Bao, Weizhu; Du, Qiang 11 2007 Dynamics of the center of mass in rotating Bose-Einstein condensates. Zbl 1190.82049Zhang, Yanzhi; Bao, Weizhu 7 2007 The nonlinear Schrödinger equation and applications in Bose-Einstein condensation and plasma physics. Zbl 1140.82037Bao, Weizhu 5 2007 Energy and chemical potential asymptotics for the ground state of Bose-Einstein condensates in the semiclassical regime. Zbl 1132.82003Bao, Weizhu; Lim, Fong Yin; Zhang, Yanzhi 4 2007 A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities. Zbl 1164.78320Bao, Weizhu; Zheng, Chunxiong 4 2007 Convergence rate of dimension reduction in Bose-Einstein condensates. Zbl 1196.82065Bao, Weizhu; Ge, Yunyi; Jaksch, Dieter; Markowich, Peter A.; Weishäupl, Rada M. 3 2007 Ground states and dynamics of rotating Bose-Einstein condensates. Zbl 1118.82027Bao, Weizhu 3 2007 Dynamics in models of coarsening, coagulation, condensation and quantization. Zbl 1119.82003 1 2007 Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation. Zbl 1141.35052Bao, Weizhu; Du, Qiang; Zhang, Yanzhi 49 2006 Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates. Zbl 1330.82031Bao, Weizhu; Chern, I-Liang; Lim, Fong Yin 43 2006 An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates. Zbl 1160.82343Bao, Weizhu; Wang, Hanquan 34 2006 A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates. Zbl 1084.35083Bao, Weizhu; Shen, Jie 67 2005 Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004Bao, Weizhu; Wang, Hanquan; Markowich, Peter A. 53 2005 Efficient and stable numerical methods for the generalized and vector Zakharov system. Zbl 1076.35114Bao, Weizhu; Sun, Fangfang 27 2005 Dynamics of the ground state and central vortex states in Bose-Einstein condensation. Zbl 1154.82313Bao, Weizhu; Zhang, Yanzhi 20 2005 On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments. Zbl 1075.35073Bao, Weizhu; Markowich, Peter A.; Schmeiser, Christian; Weishäupl, Rada M. 7 2005 Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025Bao, Weizhu; Du, Qiang 154 2004 Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034Bao, Weizhu 77 2004 An efficient and stable numerical method for the Maxwell–Dirac system. Zbl 1056.81080Bao, Weizhu; Li, Xianggui 38 2004 Numerical methods for the nonlinear Schrödinger equation with nonzero far-field conditions. Zbl 1090.65116Bao, Weizhu 10 2004 Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A. 4 2004 Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A. 127 2003 Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099Bao, Weizhu; Jin, Shi; Markowich, Peter A. 81 2003 Ground-state solution of Bose–Einstein condensate by directly minimizing the energy functional. Zbl 1028.82500Bao, Weizhu; Tang, Weijun 46 2003 An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity. Zbl 1054.35088Bao, Weizhu; Jaksch, Dieter 44 2003 Numerical methods for the generalized Zakharov system. Zbl 1236.76043Bao, Weizhu; Sun, Fangfang; Wei, Guo Wei 34 2003 Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-X\(_\alpha\) model. Zbl 1160.81497Bao, Weizhu; Mauser, N. J.; Stimming, H. P. 24 2003 Approximation and comparison for motion by mean curvature with intersection points. Zbl 1049.65012Bao, Weizhu 4 2003 Error bounds for the finite element approximation of an incompressible material in an unbounded domain. Zbl 1106.74406Bao, Weizhu; Han, Houde 3 2003 High-order \(I\)-stable centered difference schemes for viscous compressible flows. Zbl 1086.76052Bao, Weizhu; Jin, Shi 2 2003 Error bounds for the finite-element approximation of the exterior Stokes equations in two dimensions. Zbl 1019.65084Bao, Weizhu 1 2003 On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112Bao, Weizhu; Jin, Shi; Markowich, Peter A. 163 2002 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,272 Authors 69 Bao, Weizhu 27 Antoine, Xavier 27 Wang, Tingchun 27 Zhang, Luming 25 Jin, Shi 23 Cai, Yongyong 21 Lorin, Emmanuel 19 Han, Houde 18 Wang, Yushun 17 Chien, Cheng-Sheng 17 Li, Xianggui 17 Tang, Qinglin 17 Wang, Hanquan 17 Zhao, Xiaofei 13 Huang, Zhongyi 13 Schratz, Katharina 12 Markowich, Peter Alexander 12 Méhats, Florian 12 Su, Chunmei 12 Zhang, Yong 12 Zheng, Chunxiong 11 Shi, Dongyang 11 Sparber, Christof 11 Thalhammer, Mechthild 11 Zeng, Xiaoyu 11 Zhao, Qiang 10 Guo, Yujin 10 Kong, Linghua 10 Lakoba, Taras I. 10 Zhang, Yanzhi 9 Carles, Rémi 9 Dehghan Takht Fooladi, Mehdi 9 Jeng, B.-W. 9 Mei, Liquan 9 Shen, Jie 9 Song, Songhe 9 Wang, Junjun 9 Xiao, Aiguo 9 Yin, Jia 9 Zhang, Zhiyue 8 Caliari, Marco 8 Dong, Xuanchun 8 Henning, Patrick 8 Huang, Chengming 8 Liu, Zuhan 8 Qian, Xu 8 Shieh, Shih-Feng 8 Yang, Xu 8 Zhang, Jiwei 8 Zhao, Quan 8 Zhou, Huan-Song 7 Besse, Christophe 7 Cai, Jiaxiang 7 Cai, Wenjun 7 Guo, Boling 7 Ji, Bingquan 7 Jiang, Chaolong 7 Koch, Othmar 7 Li, Meng 7 Liang, Dong 7 Liao, Feng 7 Lin, Wen-Wei 7 Liu, Hailiang 7 Wu, Xinyuan 7 Xie, Jianqiang 7 Zhou, Zhennan 6 Auzinger, Winfried 6 Bandrauk, André D. 6 Chang, Shing-Lin 6 Chern, I-Liang 6 Duboscq, Romain 6 Feng, Yue 6 Gosse, Laurent 6 Huang, Yunqing 6 Li, Haochen 6 Li, Jiyong 6 Ostermann, Alexander 6 Wang, Pengde 6 Wang, Shanshan 6 Wang, Weichung 6 Wei, Juncheng 6 Xu, Zhiguo 6 Zhu, Shihui 5 Antonelli, Paolo 5 Chartier, Philippe 5 Feng, Binhua 5 Fillion-Gourdeau, François 5 Gao, Yali 5 Hajaiej, Hichem 5 Kuo, Yueh-Cheng 5 Lemou, Mohammed 5 Li, Buyang 5 Li, Zi-Cai 5 Lu, Jianfeng 5 Mauser, Norbert Julius 5 Peterseim, Daniel 5 Ruan, Xinran 5 Wang, Jianyun 5 Wang, Lan 5 Wang, Yan ...and 1,172 more Authors all top 5 Cited in 174 Serials 150 Journal of Computational Physics 57 Applied Numerical Mathematics 54 Journal of Scientific Computing 52 Applied Mathematics and Computation 47 Journal of Computational and Applied Mathematics 32 Computers & Mathematics with Applications 27 Physica D 24 Computer Physics Communications 24 International Journal of Computer Mathematics 22 Numerical Algorithms 22 SIAM Journal on Scientific Computing 20 Mathematics of Computation 20 Communications in Computational Physics 18 Numerische Mathematik 18 SIAM Journal on Numerical Analysis 17 Computer Methods in Applied Mechanics and Engineering 17 Journal of Mathematical Physics 17 Applied Mathematics Letters 15 Journal of Mathematical Analysis and Applications 14 Multiscale Modeling & Simulation 13 Numerical Methods for Partial Differential Equations 13 M\(^3\)AS. 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