Weizhu Bao

117 papers Journal 117
YearRankTypeTitle / Venue / Authors
2026 J jnl
A uniformly accurate multiscale time integrator for the nonlinear Klein-Gordon equation in the nonrelativistic regime via simplified transmission conditions.
CoRR
Weizhu Bao, Caoyi Liu
2026 J jnl
An implicit hybridizable discontinuous Galerkin scheme with harmonic averaging technique for transient simulations of real-world semiconductor devices coupled with external circuits.
J. Comput. Phys.
Qingyuan Shi, Chijie Zhuang, Bo Lin, Xiyu Peng, Weizhu Bao, Rong Zeng
2025 J jnl
A Normalized Gradient Flow Method for Computing Ground States of Spin-2 Bose-Einstein Condensates.
SIAM J. Sci. Comput.
Weizhu Bao, Qinglin Tang, Yongjun Yuan
2025 J jnl
A structure-preserving parametric approximation for anisotropic geometric flows via an α-surface energy matrix.
CoRR
Weizhu Bao, Yifei Li, Wenjun Ying, Yulin Zhang
2025 J jnl
A structure-preserving parametric finite element method for solid-state dewetting on curved substrates.
Commun. Nonlinear Sci. Numer. Simul.
Weizhu Bao, Yifei Li, Quan Zhao
2025 J jnl
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow.
SIAM J. Numer. Anal.
Weizhu Bao, Yifei Li
2025 J jnl
An energy-stable parametric finite element method for the Willmore flow in three dimensions.
CoRR
Weizhu Bao, Yifei Li, Dongmin Wang
2025 J jnl
Computing ground states of Bose-Einstein condensation by normalized deep neural network.
J. Comput. Phys.
Weizhu Bao, Zhipeng Chang, Xiaofei Zhao
2025 J jnl
Error estimates of an exponential wave integrator for the nonlinear Schrödinger equation with singular potential.
CoRR
Weizhu Bao, Chushan Wang
2024 J jnl
A robust hybridizable discontinuous Galerkin scheme with harmonic averaging technique for steady state of real-world semiconductor devices.
CoRR
Qingyuan Shi, Yongyong Cai, Chijie Zhuang, Bo Lin, Dan Wu, Rong Zeng, Weizhu Bao
2024 J jnl
A robust hybridizable discontinuous Galerkin scheme with harmonic averaging technique for steady state of real-world semiconductor devices.
J. Comput. Phys.
Qingyuan Shi, Yongyong Cai, Chijie Zhuang, Bo Lin, Dan Wu, Rong Zeng, Weizhu Bao
2024 J jnl
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy.
Numerische Mathematik
Weizhu Bao, Yifei Li
2024 J jnl
A structure-preserving parametric finite element method for solid-state dewetting on curved substrates.
CoRR
Weizhu Bao, Yifei Li, Quan Zhao
2024 J jnl
A unified structure-preserving parametric finite element method for anisotropic surface diffusion.
CoRR
Weizhu Bao, Yifei Li
2024 J jnl
A unified structure-preserving parametric finite element method for anisotropic surface diffusion.
Math. Comput.
Weizhu Bao, Yifei Li
2024 J jnl
An Explicit and Symmetric Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity.
SIAM J. Numer. Anal.
Weizhu Bao, Chushan Wang
2024 J jnl
An energy-stable parametric finite element method for the planar Willmore flow.
CoRR
Weizhu Bao, Yifei Li
2024 J jnl
Computing ground states of spin-2 Bose-Einstein condensates by the normalized gradient flow.
CoRR
Weizhu Bao, Qinglin Tang, Yongjun Yuan
2024 J jnl
Convergence Rates in the Nonrelativistic Limit of the Cubic Klein-Gordon Equation.
SIAM J. Math. Anal.
Weizhu Bao, Yong Lu, Zhifei Zhang
2024 J jnl
Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity.
SIAM J. Numer. Anal.
Weizhu Bao, Chushan Wang
2024 J jnl
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation.
CoRR
Weizhu Bao, Ying Ma, Chushan Wang
2023 J jnl
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion in Three Dimensions.
SIAM J. Sci. Comput.
Weizhu Bao, Yifei Li
2023 J jnl
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion of Closed Curves.
SIAM J. Numer. Anal.
Weizhu Bao, Wei Jiang, Yifei Li
2023 J jnl
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity.
CoRR
Weizhu Bao, Chushan Wang
2023 J jnl
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential.
CoRR
Weizhu Bao, Bo Lin, Ying Ma, Chushan Wang
2023 J jnl
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity.
CoRR
Weizhu Bao, Chushan Wang
2023 J jnl
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity.
Math. Comput.
Weizhu Bao, Chushan Wang
2023 J jnl
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity.
CoRR
Weizhu Bao, Chushan Wang
2023 J jnl
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity.
CoRR
Weizhu Bao, Ying Ma, Chushan Wang
2022 J jnl
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters.
CoRR
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
2022 J jnl
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy.
CoRR
Weizhu Bao, Yifei Li
2022 J jnl
A symmetrized parametric finite element method for anisotropic surface diffusion ii. three dimensions.
CoRR
Weizhu Bao, Yifei Li
2022 J jnl
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.
Weizhu Bao, Yongyong Cai, Yue Feng
2022 J jnl
Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials.
Multiscale Model. Simul.
Weizhu Bao, Yue Feng, Jia Yin
2022 J jnl
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation.
Math. Comput.
Weizhu Bao, Yongyong Cai, Yue Feng
2022 J jnl
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation.
CoRR
Weizhu Bao, Yongyong Cai, Yue Feng
2022 J jnl
Regularized numerical methods for the nonlinear Schrödinger equation with singular nonlinearity.
CoRR
Weizhu Bao, Yue Feng, Ying Ma
2022 J jnl
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity.
Math. Comput.
Weizhu Bao, Yue Feng, Chunmei Su
2022 J jnl
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations.
J. Comput. Phys.
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
2021 J jnl
A Structure-Preserving Parametric Finite Element Method for Surface Diffusion.
SIAM J. Numer. Anal.
Weizhu Bao, Quan Zhao
2021 J jnl
A structure-preserving parametric finite element method for surface diffusion.
CoRR
Weizhu Bao, Quan Zhao
2021 J jnl
A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves via a Cahn-Hoffman ξ-vector formulation.
CoRR
Weizhu Bao, Wei Jiang, Yifei Li
2021 J jnl
An energy-stable parametric finite element method for anisotropic surface diffusion.
J. Comput. Phys.
Yifei Li, Weizhu Bao
2021 J jnl
Improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger/nonlinear Schrödinger equation.
CoRR
Weizhu Bao, Yongyong Cai, Yue Feng
2021 J jnl
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity.
CoRR
Weizhu Bao, Yongyong Cai, Yue Feng
2021 J jnl
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials.
CoRR
Weizhu Bao, Yue Feng, Jia Yin
2021 J jnl
Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential.
SIAM J. Numer. Anal.
Weizhu Bao, Yongyong Cai, Jia Yin
2021 J jnl
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations.
CoRR
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
2020 J jnl
A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator.
J. Comput. Phys.
Weizhu Bao, Lizhen Chen, Xiaoyun Jiang, Ying Ma
2020 J jnl
A Parametric Finite Element Method for Solid-State Dewetting Problems in Three Dimensions.
SIAM J. Sci. Comput.
Quan Zhao, Wei Jiang, Weizhu Bao
2020 J jnl
An Energy-Stable Parametric Finite Element Method for Simulating Solid-state Dewetting Problems in Three Dimensions.
CoRR
Weizhu Bao, Quan Zhao
2020 J jnl
An efficient and accurate MPI-based parallel simulator for streamer discharges in three dimensions.
J. Comput. Phys.
Bo Lin, Chijie Zhuang, Zhenning Cai, Rong Zeng, Weizhu Bao
2020 J jnl
An energy-stable parametric finite element method for anisotropic surface diffusion.
CoRR
Yifei Li, Weizhu Bao
2020 J jnl
An energy-stable parametric finite element method for simulating solid-state dewetting.
CoRR
Quan Zhao, Wei Jiang, Weizhu Bao
2020 J jnl
Error estimates of energy regularization for the logarithmic Schrodinger equation.
CoRR
Weizhu Bao, Rémi Carles, Chunmei Su, Qinglin Tang
2020 J jnl
Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions.
SIAM J. Appl. Math.
Wei Jiang, Quan Zhao, Weizhu Bao
2020 J jnl
Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime.
Math. Comput.
Weizhu Bao, Yongyong Cai, Jia Yin
2020 J jnl
Uniform error bounds of a time-splitting spectral method for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity.
CoRR
Weizhu Bao, Yue Feng, Chunmei Su
2019 J jnl
A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator.
CoRR
Weizhu Bao, Lizhen Chen, Xiaoyun Jiang, Ying Ma
2019 J jnl
Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime.
J. Comput. Phys.
Weizhu Bao, Xiaofei Zhao
2019 J jnl
Computing Ground States of Bose-Einstein Condensates with Higher Order Interaction via a Regularized Density Function Formulation.
SIAM J. Sci. Comput.
Weizhu Bao, Xinran Ruan
2019 J jnl
Computing ground states of Bose-Einstein Condensates with higher order interaction via a regularized density function formulation.
CoRR
Weizhu Bao, Xinran Ruan
2019 J jnl
Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation.
SIAM J. Numer. Anal.
Weizhu Bao, Rémi Carles, Chunmei Su, Qinglin Tang
2019 J jnl
Regularized numerical methods for the logarithmic Schrödinger equation.
Numerische Mathematik
Weizhu Bao, Rémi Carles, Chunmei Su, Qinglin Tang
2019 J jnl
Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic limit regime.
CoRR
Weizhu Bao, Yongyong Cai, Jia Yin
2018 J jnl
A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime.
SIAM J. Sci. Comput.
Weizhu Bao, Chunmei Su
2018 J jnl
Fundamental gaps of the Gross-Pitaevskii equation with repulsive interaction.
Asymptot. Anal.
Weizhu Bao, Xinran Ruan
2018 J jnl
Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime.
Math. Comput.
Weizhu Bao, Chunmei Su
2017 J jnl
A Regularized Newton Method for Computing Ground States of Bose-Einstein Condensates.
J. Sci. Comput.
Xinming Wu, Zaiwen Wen, Weizhu Bao
2017 J jnl
A parametric finite element method for solid-state dewetting problems with anisotropic surface energies.
J. Comput. Phys.
Weizhu Bao, Wei Jiang, Yan Wang, Quan Zhao
2017 J jnl
A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime.
Numerische Mathematik
Weizhu Bao, Xiaofei Zhao
2017 J jnl
Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime.
J. Sci. Comput.
Weizhu Bao, Yongyong Cai, Xiaowei Jia, Qinglin Tang
2017 J jnl
Stable Equilibria of Anisotropic Particles on Substrates: A Generalized Winterbottom Construction.
SIAM J. Appl. Math.
Weizhu Bao, Wei Jiang, David J. Srolovitz, Yan Wang
2017 J jnl
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.
Weizhu Bao, Chunmei Su
2016 J jnl
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime.
SIAM J. Numer. Anal.
Weizhu Bao, Yongyong Cai, Xiaowei Jia, Qinglin Tang
2016 J jnl
A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime.
J. Comput. Phys.
Weizhu Bao, Xiaofei Zhao
2015 J jnl
Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT.
J. Comput. Phys.
Weizhu Bao, Shidong Jiang, Qinglin Tang, Yong Zhang
2015 J jnl
Ground States and Dynamics of Spin-Orbit-Coupled Bose-Einstein Condensates.
SIAM J. Appl. Math.
Weizhu Bao, Yongyong Cai
2014 J jnl
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime.
SIAM J. Numer. Anal.
Weizhu Bao, Yongyong Cai, Xiaofei Zhao
2014 J jnl
A variational-difference numerical method for designing progressive-addition lenses.
Comput. Aided Des.
Wei Jiang, Weizhu Bao, Qinglin Tang, Hanquan Wang
2014 J jnl
Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT.
SIAM J. Sci. Comput.
Shidong Jiang, Leslie Greengard, Weizhu Bao
2014 J jnl
Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains.
Multiscale Model. Simul.
Weizhu Bao, Qinglin Tang
2014 J jnl
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.
Weizhu Bao, Yongyong Cai
2013 J jnl
A Simple and Efficient Numerical Method for Computing the Dynamics of Rotating Bose-Einstein Condensates via Rotating Lagrangian Coordinates.
SIAM J. Sci. Comput.
Weizhu Bao, Daniel Marahrens, Qinglin Tang, Yanzhi Zhang
2013 J jnl
An Exponential Wave Integrator Sine Pseudospectral Method for the Klein-Gordon-Zakharov System.
SIAM J. Sci. Comput.
Weizhu Bao, Xuanchun Dong, Xiaofei Zhao
2013 J jnl
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations.
Comput. Phys. Commun.
Xavier Antoine, Weizhu Bao, Christophe Besse
2013 J jnl
Dimension Reduction of the Schrödinger Equation with Coulomb and Anisotropic Confining Potentials.
SIAM J. Appl. Math.
Weizhu Bao, Huaiyu Jian, Norbert J. Mauser, Yong Zhang
2013 J jnl
Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations.
J. Comput. Phys.
Weizhu Bao, I-Liang Chern, Yanzhi Zhang
2013 J jnl
Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation.
J. Comput. Phys.
Weizhu Bao, Qinglin Tang, Zhiguo Xu
2013 J jnl
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation.
Math. Comput.
Weizhu Bao, Yongyong Cai
2012 J jnl
Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime.
Numerische Mathematik
Weizhu Bao, Xuanchun Dong
2012 J jnl
Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement.
SIAM J. Math. Anal.
Weizhu Bao, Naoufel Ben Abdallah, Yongyong Cai
2012 J jnl
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator.
SIAM J. Numer. Anal.
Weizhu Bao, Yongyong Cai
2011 J jnl
Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars.
J. Comput. Phys.
Weizhu Bao, Xuanchun Dong
2010 J jnl
Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates.
J. Comput. Phys.
Weizhu Bao, Yongyong Cai, Hanquan Wang
2010 J jnl
Singular Limits of Klein-Gordon-Schrödinger Equations to Schrödinger-Yukawa Equations.
Multiscale Model. Simul.
Weizhu Bao, Xuanchun Dong, Shu Wang
2009 J jnl
A Generalized-Laguerre--Fourier--Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose--Einstein Condensates.
SIAM J. Sci. Comput.
Weizhu Bao, Hailiang Li, Jie Shen
2008 J jnl
A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates.
J. Comput. Phys.
Weizhu Bao, Jie Shen
2008 J jnl
Computing Ground States of Spin-1 Bose-Einstein Condensates by the Normalized Gradient Flow.
SIAM J. Sci. Comput.
Weizhu Bao, Fong Yin Lim
2007 J jnl
A Mass and Magnetization Conservative and Energy-Diminishing Numerical Method for Computing Ground State of Spin-1 Bose-Einstein Condensates.
SIAM J. Numer. Anal.
Weizhu Bao, Hanquan Wang
2007 J jnl
Convergence rate of dimension reduction in Bose-Einstein condensates.
Comput. Phys. Commun.
Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada-Maria Weishäupl
2007 J jnl
Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations.
J. Comput. Phys.
Weizhu Bao, Li Yang
2007 J jnl
The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrödinger Equation.
SIAM J. Appl. Math.
Yanzhi Zhang, Weizhu Bao, Qiang Du
2006 J jnl
An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates.
J. Comput. Phys.
Weizhu Bao, Hanquan Wang
2006 J jnl
Dynamics of Rotating Bose-Einstein Condensates and its Efficient and Accurate Numerical Computation.
SIAM J. Appl. Math.
Weizhu Bao, Qiang Du, Yanzhi Zhang
2006 J jnl
Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates.
J. Comput. Phys.
Weizhu Bao, I-Liang Chern, Fong Yin Lim
2005 J jnl
A Fourth-Order Time-Splitting Laguerre-Hermite Pseudospectral Method for Bose-Einstein Condensates.
SIAM J. Sci. Comput.
Weizhu Bao, Jie Shen
2005 J jnl
Efficient and Stable Numerical Methods for the Generalized and Vector Zakharov System.
SIAM J. Sci. Comput.
Weizhu Bao, Fangfang Sun
2004 J jnl
Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow.
SIAM J. Sci. Comput.
Weizhu Bao, Qiang Du
2004 J jnl
Ground States and Dynamics of Multicomponent Bose-Einstein Condensates.
Multiscale Model. Simul.
Weizhu Bao
2003 J jnl
An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity.
SIAM J. Numer. Anal.
Weizhu Bao, Dieter Jaksch
2003 J jnl
Error bounds for the finite element approximation of an incompressible material in an unbounded domain.
Numerische Mathematik
Weizhu Bao, Houde Han
2003 J jnl
Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes.
SIAM J. Sci. Comput.
Weizhu Bao, Shi Jin, Peter A. Markowich
2002 J jnl
The random projection method for a model problem of combustion with stiff chemical reactions.
Appl. Math. Comput.
Weizhu Bao
2001 J jnl
Error estimates for the finite element approximation of linear elastic equations in an unbounded domain.
Math. Comput.
Houde Han, Weizhu Bao
2001 J jnl
The Random Projection Method for Stiff Detonation Capturing.
SIAM J. Sci. Comput.
Weizhu Bao, Shi Jin
2000 J jnl
Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains.
SIAM J. Numer. Anal.
Houde Han, Weizhu Bao