Weizhu Bao

ORCID

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 61

Top Venues

Publications

Weizhu Bao, Chushan Wang
An Explicit and Symmetric Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity. SIAM J. Numer. Anal. 62 (4) (2024)
Weizhu Bao, Yifei Li
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy. Numerische Mathematik 156 (2) (2024)
Weizhu Bao, Yifei Li
An energy-stable parametric finite element method for the planar Willmore flow. CoRR (2024)
Weizhu Bao, Chushan Wang
Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity. SIAM J. Numer. Anal. 62 (1) (2024)
Weizhu Bao, Qinglin Tang, Yongjun Yuan
Computing ground states of spin-2 Bose-Einstein condensates by the normalized gradient flow. CoRR (2024)
Weizhu Bao, Yifei Li
A unified structure-preserving parametric finite element method for anisotropic surface diffusion. CoRR (2024)
Weizhu Bao, Chushan Wang
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. CoRR (2023)
Weizhu Bao, Chushan Wang
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. CoRR (2023)
Weizhu Bao, Ying Ma, Chushan Wang
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. CoRR (2023)
Weizhu Bao, Wei Jiang, Yifei Li
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion of Closed Curves. SIAM J. Numer. Anal. 61 (2) (2023)
Weizhu Bao, Yifei Li
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion in Three Dimensions. SIAM J. Sci. Comput. 45 (4) (2023)
Weizhu Bao, Bo Lin, Ying Ma, Chushan Wang
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential. CoRR (2023)
Weizhu Bao, Chushan Wang
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity. CoRR (2023)
Weizhu Bao, Chushan Wang
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity. Math. Comput. 93 (348) (2023)
Weizhu Bao, Yongyong Cai, Yue Feng
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein-Gordon Equation with Weak Nonlinearity. SIAM J. Numer. Anal. 60 (4) (2022)
Weizhu Bao, Yifei Li
A symmetrized parametric finite element method for anisotropic surface diffusion ii. three dimensions. CoRR (2022)
Weizhu Bao, Yue Feng, Jia Yin
Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials. Multiscale Model. Simul. 20 (3) (2022)
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. CoRR (2022)
Weizhu Bao, Yongyong Cai, Yue Feng
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation. CoRR (2022)
Weizhu Bao, Yifei Li
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy. CoRR (2022)
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. J. Comput. Phys. 460 (2022)
Weizhu Bao, Yue Feng, Ying Ma
Regularized numerical methods for the nonlinear Schrödinger equation with singular nonlinearity. CoRR (2022)
Weizhu Bao, Yongyong Cai, Yue Feng
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation. Math. Comput. 92 (341) (2022)
Weizhu Bao, Yue Feng, Chunmei Su
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. Math. Comput. 91 (334) (2022)
Weizhu Bao, Yongyong Cai, Jia Yin
Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential. SIAM J. Numer. Anal. 59 (2) (2021)
Weizhu Bao, Yue Feng, Jia Yin
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials. CoRR (2021)
Weizhu Bao, Wei Jiang, Yifei Li
A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves via a Cahn-Hoffman ξ-vector formulation. CoRR (2021)
Weizhu Bao, Quan Zhao
A Structure-Preserving Parametric Finite Element Method for Surface Diffusion. SIAM J. Numer. Anal. 59 (5) (2021)
Weizhu Bao, Yongyong Cai, Yue Feng
Improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger/nonlinear Schrödinger equation. CoRR (2021)
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. CoRR (2021)
Weizhu Bao, Quan Zhao
A structure-preserving parametric finite element method for surface diffusion. CoRR (2021)
Yifei Li, Weizhu Bao
An energy-stable parametric finite element method for anisotropic surface diffusion. J. Comput. Phys. 446 (2021)
Weizhu Bao, Yongyong Cai, Yue Feng
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. CoRR (2021)
Weizhu Bao, Quan Zhao
An Energy-Stable Parametric Finite Element Method for Simulating Solid-state Dewetting Problems in Three Dimensions. CoRR (2020)
Weizhu Bao, Rémi Carles, Chunmei Su, Qinglin Tang
Error estimates of energy regularization for the logarithmic Schrodinger equation. CoRR (2020)
Yifei Li, Weizhu Bao
An energy-stable parametric finite element method for anisotropic surface diffusion. CoRR (2020)
Quan Zhao, Wei Jiang, Weizhu Bao
An energy-stable parametric finite element method for simulating solid-state dewetting. CoRR (2020)
Wei Jiang, Quan Zhao, Weizhu Bao
Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions. SIAM J. Appl. Math. 80 (4) (2020)
Weizhu Bao, Yue Feng, Chunmei Su
Uniform error bounds of a time-splitting spectral method for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. CoRR (2020)
Quan Zhao, Wei Jiang, Weizhu Bao
A Parametric Finite Element Method for Solid-State Dewetting Problems in Three Dimensions. SIAM J. Sci. Comput. 42 (1) (2020)
Weizhu Bao, Yongyong Cai, Jia Yin
Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime. Math. Comput. 89 (325) (2020)
Bo Lin, Chijie Zhuang, Zhenning Cai, Rong Zeng, Weizhu Bao
An efficient and accurate MPI-based parallel simulator for streamer discharges in three dimensions. J. Comput. Phys. 401 (2020)
Weizhu Bao, Lizhen Chen, Xiaoyun Jiang, Ying Ma
A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator. J. Comput. Phys. 421 (2020)
Weizhu Bao, Xinran Ruan
Computing ground states of Bose-Einstein Condensates with higher order interaction via a regularized density function formulation. CoRR (2019)
Weizhu Bao, Xinran Ruan
Computing Ground States of Bose-Einstein Condensates with Higher Order Interaction via a Regularized Density Function Formulation. SIAM J. Sci. Comput. 41 (6) (2019)
Weizhu Bao, Yongyong Cai, Jia Yin
Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic limit regime. CoRR (2019)
Weizhu Bao, Rémi Carles, Chunmei Su, Qinglin Tang
Regularized numerical methods for the logarithmic Schrödinger equation. Numerische Mathematik 143 (2) (2019)
Weizhu Bao, Lizhen Chen, Xiaoyun Jiang, Ying Ma
A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator. CoRR (2019)
Weizhu Bao, Rémi Carles, Chunmei Su, Qinglin Tang
Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation. SIAM J. Numer. Anal. 57 (2) (2019)
Weizhu Bao, Xiaofei Zhao
Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. J. Comput. Phys. 398 (2019)
Weizhu Bao, Chunmei Su
Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime. Math. Comput. 87 (313) (2018)
Weizhu Bao, Chunmei Su
A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime. SIAM J. Sci. Comput. 40 (2) (2018)
Weizhu Bao, Xinran Ruan
Fundamental gaps of the Gross-Pitaevskii equation with repulsive interaction. Asymptot. Anal. 110 (1-2) (2018)
Xinming Wu, Zaiwen Wen, Weizhu Bao
A Regularized Newton Method for Computing Ground States of Bose-Einstein Condensates. J. Sci. Comput. 73 (1) (2017)
Weizhu Bao, Xiaofei Zhao
A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime. Numerische Mathematik 135 (3) (2017)
Weizhu Bao, Chunmei Su
Uniform Error Bounds of a Finite Difference Method for the Zakharov System in the Subsonic Limit Regime via an Asymptotic Consistent Formulation. Multiscale Model. Simul. 15 (2) (2017)
Weizhu Bao, Wei Jiang, Yan Wang, Quan Zhao
A parametric finite element method for solid-state dewetting problems with anisotropic surface energies. J. Comput. Phys. 330 (2017)
Weizhu Bao, Wei Jiang, David J. Srolovitz, Yan Wang
Stable Equilibria of Anisotropic Particles on Substrates: A Generalized Winterbottom Construction. SIAM J. Appl. Math. 77 (6) (2017)
Weizhu Bao, Yongyong Cai, Xiaowei Jia, Qinglin Tang
Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime. J. Sci. Comput. 71 (3) (2017)
Weizhu Bao, Yongyong Cai, Xiaowei Jia, Qinglin Tang
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime. SIAM J. Numer. Anal. 54 (3) (2016)
Weizhu Bao, Xiaofei Zhao
A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime. J. Comput. Phys. 327 (2016)
Weizhu Bao, Shidong Jiang, Qinglin Tang, Yong Zhang
Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT. J. Comput. Phys. 296 (2015)
Weizhu Bao, Yongyong Cai
Ground States and Dynamics of Spin-Orbit-Coupled Bose-Einstein Condensates. SIAM J. Appl. Math. 75 (2) (2015)
Weizhu Bao, Yongyong Cai
Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator. SIAM J. Numer. Anal. 52 (3) (2014)
Weizhu Bao, Qinglin Tang
Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains. Multiscale Model. Simul. 12 (2) (2014)
Wei Jiang, Weizhu Bao, Qinglin Tang, Hanquan Wang
A variational-difference numerical method for designing progressive-addition lenses. Comput. Aided Des. 48 (2014)
Weizhu Bao, Yongyong Cai, Xiaofei Zhao
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime. SIAM J. Numer. Anal. 52 (5) (2014)
Shidong Jiang, Leslie Greengard, Weizhu Bao
Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT. SIAM J. Sci. Comput. 36 (5) (2014)
Xavier Antoine, Weizhu Bao, Christophe Besse
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Comput. Phys. Commun. 184 (12) (2013)
Weizhu Bao, Yongyong Cai
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. Math. Comput. 82 (281) (2013)
Weizhu Bao, Xuanchun Dong, Xiaofei Zhao
An Exponential Wave Integrator Sine Pseudospectral Method for the Klein-Gordon-Zakharov System. SIAM J. Sci. Comput. 35 (6) (2013)
Weizhu Bao, Huaiyu Jian, Norbert J. Mauser, Yong Zhang
Dimension Reduction of the Schrödinger Equation with Coulomb and Anisotropic Confining Potentials. SIAM J. Appl. Math. 73 (6) (2013)
Weizhu Bao, Daniel Marahrens, Qinglin Tang, Yanzhi Zhang
A Simple and Efficient Numerical Method for Computing the Dynamics of Rotating Bose-Einstein Condensates via Rotating Lagrangian Coordinates. SIAM J. Sci. Comput. 35 (6) (2013)
Weizhu Bao, I-Liang Chern, Yanzhi Zhang
Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations. J. Comput. Phys. 253 (2013)
Weizhu Bao, Qinglin Tang, Zhiguo Xu
Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation. J. Comput. Phys. 235 (2013)
Weizhu Bao, Xuanchun Dong
Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime. Numerische Mathematik 120 (2) (2012)
Weizhu Bao, Naoufel Ben Abdallah, Yongyong Cai
Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement. SIAM J. Math. Anal. 44 (3) (2012)
Weizhu Bao, Yongyong Cai
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator. SIAM J. Numer. Anal. 50 (2) (2012)
Weizhu Bao, Xuanchun Dong
Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. J. Comput. Phys. 230 (13) (2011)
Weizhu Bao, Xuanchun Dong, Shu Wang
Singular Limits of Klein-Gordon-Schrödinger Equations to Schrödinger-Yukawa Equations. Multiscale Model. Simul. 8 (5) (2010)
Weizhu Bao, Yongyong Cai, Hanquan Wang
Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates. J. Comput. Phys. 229 (20) (2010)
Weizhu Bao, Hailiang Li, Jie Shen
A Generalized-Laguerre--Fourier--Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose--Einstein Condensates. SIAM J. Sci. Comput. 31 (5) (2009)
Weizhu Bao, Jie Shen
A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates. J. Comput. Phys. 227 (23) (2008)
Weizhu Bao, Fong Yin Lim
Computing Ground States of Spin-1 Bose-Einstein Condensates by the Normalized Gradient Flow. SIAM J. Sci. Comput. 30 (4) (2008)
Weizhu Bao, Hanquan Wang
A Mass and Magnetization Conservative and Energy-Diminishing Numerical Method for Computing Ground State of Spin-1 Bose-Einstein Condensates. SIAM J. Numer. Anal. 45 (5) (2007)
Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada-Maria Weishäupl
Convergence rate of dimension reduction in Bose-Einstein condensates. Comput. Phys. Commun. 177 (11) (2007)
Yanzhi Zhang, Weizhu Bao, Qiang Du
The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrödinger Equation. SIAM J. Appl. Math. 67 (6) (2007)
Weizhu Bao, Li Yang
Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations. J. Comput. Phys. 225 (2) (2007)
Weizhu Bao, Hanquan Wang
An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates. J. Comput. Phys. 217 (2) (2006)
Weizhu Bao, Qiang Du, Yanzhi Zhang
Dynamics of Rotating Bose-Einstein Condensates and its Efficient and Accurate Numerical Computation. SIAM J. Appl. Math. 66 (3) (2006)
Weizhu Bao, I-Liang Chern, Fong Yin Lim
Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates. J. Comput. Phys. 219 (2) (2006)
Weizhu Bao, Jie Shen
A Fourth-Order Time-Splitting Laguerre-Hermite Pseudospectral Method for Bose-Einstein Condensates. SIAM J. Sci. Comput. 26 (6) (2005)
Weizhu Bao, Fangfang Sun
Efficient and Stable Numerical Methods for the Generalized and Vector Zakharov System. SIAM J. Sci. Comput. 26 (3) (2005)
Weizhu Bao, Qiang Du
Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow. SIAM J. Sci. Comput. 25 (5) (2004)
Weizhu Bao
Ground States and Dynamics of Multicomponent Bose-Einstein Condensates. Multiscale Model. Simul. 2 (2) (2004)
Weizhu Bao, Shi Jin, Peter A. Markowich
Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes. SIAM J. Sci. Comput. 25 (1) (2003)
Weizhu Bao, Houde Han
Error bounds for the finite element approximation of an incompressible material in an unbounded domain. Numerische Mathematik 93 (3) (2003)
Weizhu Bao, Dieter Jaksch
An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity. SIAM J. Numer. Anal. 41 (4) (2003)
Weizhu Bao
The random projection method for a model problem of combustion with stiff chemical reactions. Appl. Math. Comput. 130 (2-3) (2002)
Houde Han, Weizhu Bao
Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. Math. Comput. 70 (236) (2001)

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Publication Activity (10 Years)

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Weizhu Bao