Weizhu Bao
Orcid: 0000-0003-3418-9625
According to our database1,
Weizhu Bao
authored at least 90 papers
between 2000 and 2024.
Collaborative distances:
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Bibliography
2024
Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity.
SIAM J. Numer. Anal., February, 2024
CoRR, 2024
A unified structure-preserving parametric finite element method for anisotropic surface diffusion.
CoRR, 2024
2023
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion in Three Dimensions.
SIAM J. Sci. Comput., August, 2023
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion of Closed Curves.
SIAM J. Numer. Anal., April, 2023
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity.
CoRR, 2023
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential.
CoRR, 2023
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity.
CoRR, 2023
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity.
CoRR, 2023
2022
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation.
Math. Comput., November, 2022
Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials.
Multiscale Model. Simul., September, 2022
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., August, 2022
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity.
Math. Comput., 2022
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations.
J. Comput. Phys., 2022
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy.
CoRR, 2022
Regularized numerical methods for the nonlinear Schrödinger equation with singular nonlinearity.
CoRR, 2022
A symmetrized parametric finite element method for anisotropic surface diffusion ii. three dimensions.
CoRR, 2022
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation.
CoRR, 2022
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters.
CoRR, 2022
2021
SIAM J. Numer. Anal., 2021
Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential.
SIAM J. Numer. Anal., 2021
J. Comput. Phys., 2021
A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves via a Cahn-Hoffman ξ-vector formulation.
CoRR, 2021
Improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger/nonlinear Schrödinger equation.
CoRR, 2021
2020
A Parametric Finite Element Method for Solid-State Dewetting Problems in Three Dimensions.
SIAM J. Sci. Comput., 2020
SIAM J. Appl. Math., 2020
Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime.
Math. Comput., 2020
An efficient and accurate MPI-based parallel simulator for streamer discharges in three dimensions.
J. Comput. Phys., 2020
A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator.
J. Comput. Phys., 2020
An Energy-Stable Parametric Finite Element Method for Simulating Solid-state Dewetting Problems in Three Dimensions.
CoRR, 2020
CoRR, 2020
An energy-stable parametric finite element method for simulating solid-state dewetting.
CoRR, 2020
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
2019
Computing Ground States of Bose-Einstein Condensates with Higher Order Interaction via a Regularized Density Function Formulation.
SIAM J. Sci. Comput., 2019
Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation.
SIAM J. Numer. Anal., 2019
Numerische Mathematik, 2019
Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime.
J. Comput. Phys., 2019
Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic limit regime.
CoRR, 2019
2018
A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime.
SIAM J. Sci. Comput., 2018
Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime.
Math. Comput., 2018
Asymptot. Anal., 2018
2017
Stable Equilibria of Anisotropic Particles on Substrates: A Generalized Winterbottom Construction.
SIAM J. Appl. Math., 2017
A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime.
Numerische Mathematik, 2017
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., 2017
A Regularized Newton Method for Computing Ground States of Bose-Einstein Condensates.
J. Sci. Comput., 2017
Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime.
J. Sci. Comput., 2017
A parametric finite element method for solid-state dewetting problems with anisotropic surface energies.
J. Comput. Phys., 2017
2016
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime.
SIAM J. Numer. Anal., 2016
A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime.
J. Comput. Phys., 2016
2015
SIAM J. Appl. Math., 2015
Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT.
J. Comput. Phys., 2015
2014
Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT.
SIAM J. Sci. Comput., 2014
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime.
SIAM J. Numer. Anal., 2014
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., 2014
Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains.
Multiscale Model. Simul., 2014
Comput. Aided Des., 2014
2013
A Simple and Efficient Numerical Method for Computing the Dynamics of Rotating Bose-Einstein Condensates via Rotating Lagrangian Coordinates.
SIAM J. Sci. Comput., 2013
An Exponential Wave Integrator Sine Pseudospectral Method for the Klein-Gordon-Zakharov System.
SIAM J. Sci. Comput., 2013
Dimension Reduction of the Schrödinger Equation with Coulomb and Anisotropic Confining Potentials.
SIAM J. Appl. Math., 2013
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation.
Math. Comput., 2013
Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation.
J. Comput. Phys., 2013
Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations.
J. Comput. Phys., 2013
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations.
Comput. Phys. Commun., 2013
2012
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator.
SIAM J. Numer. Anal., 2012
Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement.
SIAM J. Math. Anal., 2012
Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime.
Numerische Mathematik, 2012
2011
Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars.
J. Comput. Phys., 2011
2010
Singular Limits of Klein-Gordon-Schrödinger Equations to Schrödinger-Yukawa Equations.
Multiscale Model. Simul., 2010
Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates.
J. Comput. Phys., 2010
2009
A Generalized-Laguerre--Fourier--Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose--Einstein Condensates.
SIAM J. Sci. Comput., 2009
2008
Computing Ground States of Spin-1 Bose-Einstein Condensates by the Normalized Gradient Flow.
SIAM J. Sci. Comput., 2008
A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates.
J. Comput. Phys., 2008
2007
A Mass and Magnetization Conservative and Energy-Diminishing Numerical Method for Computing Ground State of Spin-1 Bose-Einstein Condensates.
SIAM J. Numer. Anal., 2007
The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrödinger Equation.
SIAM J. Appl. Math., 2007
J. Comput. Phys., 2007
Comput. Phys. Commun., 2007
2006
Dynamics of Rotating Bose-Einstein Condensates and its Efficient and Accurate Numerical Computation.
SIAM J. Appl. Math., 2006
An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates.
J. Comput. Phys., 2006
Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates.
J. Comput. Phys., 2006
2005
A Fourth-Order Time-Splitting Laguerre-Hermite Pseudospectral Method for Bose-Einstein Condensates.
SIAM J. Sci. Comput., 2005
Efficient and Stable Numerical Methods for the Generalized and Vector Zakharov System.
SIAM J. Sci. Comput., 2005
2004
Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow.
SIAM J. Sci. Comput., 2004
Multiscale Model. Simul., 2004
2003
Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes.
SIAM J. Sci. Comput., 2003
An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity.
SIAM J. Numer. Anal., 2003
Error bounds for the finite element approximation of an incompressible material in an unbounded domain.
Numerische Mathematik, 2003
2002
The random projection method for a model problem of combustion with stiff chemical reactions.
Appl. Math. Comput., 2002
2001
SIAM J. Sci. Comput., 2001
Error estimates for the finite element approximation of linear elastic equations in an unbounded domain.
Math. Comput., 2001
2000
Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains.
SIAM J. Numer. Anal., 2000