Weizhu Bao
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Chinese mathematician
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Mathematics
Weizhu Bao's Degrees
- PhD Mathematics Peking University
Why Is Weizhu Bao Influential?
(Suggest an Edit or Addition)According to Wikipedia, Weizhu Bao is a Chinese mathematician at the National University of Singapore . He is known for his work in applied mathematics with applications in quantum physics and chemistry and materials science, especially Bose-Einstein condensation and highly oscillatory partial differential equations.
Weizhu Bao's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation (2003) (468)
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime (2002) (395)
- Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow (2003) (381)
- Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations (2013) (295)
- MATHEMATICAL THEORY AND NUMERICAL METHODS FOR (2012) (264)
- Mathematical Models and Numerical Methods for Bose-Einstein Condensation (2012) (260)
- Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes (2003) (217)
- A Fourth-Order Time-Splitting Laguerre-Hermite Pseudospectral Method for Bose-Einstein Condensates (2003) (169)
- Ground States and Dynamics of Multicomponent Bose-Einstein Condensates (2003) (166)
- Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator (2012) (158)
- Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation (2012) (157)
- Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime (2012) (157)
- Ground-state solution of Bose--Einstein condensate by directly minimizing the energy functional (2003) (142)
- Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates (2010) (129)
- Ground, Symmetric and Central Vortex States in Rotating Bose-Einstein Condensates (2005) (120)
- Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates (2006) (120)
- Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations (2007) (114)
- An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates (2006) (108)
- Dynamics of Rotating Bose-Einstein Condensates and its Efficient and Accurate Numerical Computation (2006) (104)
- A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime (2014) (86)
- Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation (2013) (84)
- Phase field approach for simulating solid-state dewetting problems (2012) (80)
- The Random Projection Method for Hyperbolic Conservation Laws with Stiff Reaction Terms (2000) (80)
- A Generalized-Laguerre--Fourier--Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose--Einstein Condensates (2009) (78)
- Computing Ground States of Spin-1 Bose-Einstein Condensates by the Normalized Gradient Flow (2007) (72)
- A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime (2015) (72)
- Numerical methods for the generalized Zakharov system (2003) (70)
- Ground States of Two-component Bose-Einstein Condensates with an Internal Atomic Josephson Junction (2011) (69)
- Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions (2010) (69)
- Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator (2013) (68)
- An Exponential Wave Integrator Sine Pseudospectral Method for the Klein-Gordon-Zakharov System (2013) (67)
- An efficient and stable numerical method for the Maxwell-Dirac system (2004) (65)
- An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity (2003) (65)
- Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime (2015) (64)
- Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation (2007) (63)
- Symmetry breaking and self-trapping of a dipolar Bose-Einstein condensate in a double-well potential (2008) (61)
- Three-dimensional simulation of jet formation in collapsing condensates (2003) (54)
- Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime (2015) (54)
- Effective One Particle Quantum Dynamics of Electrons: A Numerical Study of the Schrodinger-Poisson-X alpha Model (2003) (52)
- Efficient and Stable Numerical Methods for the Generalized and Vector Zakharov System (2005) (51)
- DYNAMICS OF THE GROUND STATE AND CENTRAL VORTEX STATES IN BOSE–EINSTEIN CONDENSATION (2005) (50)
- Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT (2013) (48)
- A Regularized Newton Method for Computing Ground States of Bose–Einstein Condensates (2015) (46)
- A Mass and Magnetization Conservative and Energy-Diminishing Numerical Method for Computing Ground State of Spin-1 Bose-Einstein Condensates (2007) (46)
- The Nonlinear Schrödinger Equation and Applications in Bose-Einstein Condensation and Plasma Physics (2007) (45)
- The Nonlinear Schrödinger Equation and Applications in Bose-Einstein Condensation and Plasma Physics (2007) (45)
- A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method (1994) (44)
- Sharp interface model for solid-state dewetting problems with weakly anisotropic surface energies (2014) (44)
- A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein–Gordon–Schrödinger equations in the nonrelativistic limit regime (2015) (42)
- Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations (2013) (41)
- A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates (2008) (41)
- Numerical methods for computing the ground state of spin-1 Bose-Einstein condensates in a uniform magnetic field. (2008) (40)
- Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains (2000) (40)
- A variational-difference numerical method for designing progressive-addition lenses (2014) (39)
- A parametric finite element method for solid-state dewetting problems with anisotropic surface energies (2016) (37)
- Ground States and Dynamics of Spin-Orbit-Coupled Bose-Einstein Condensates (2014) (36)
- Fractional quantum mechanics in polariton condensates with velocity-dependent mass (2015) (36)
- Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations (2012) (35)
- A Simple and Efficient Numerical Method for Computing the Dynamics of Rotating Bose-Einstein Condensates via Rotating Lagrangian Coordinates (2013) (35)
- A priori and a posteriori error bounds for a nonconforming linear finite element approximation of a non-newtonian flow (1998) (34)
- A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime (2016) (33)
- Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars (2011) (33)
- Gross-Pitaevskii-Poisson Equations for Dipolar Bose-Einstein Condensate with Anisotropic Confinement (2012) (32)
- Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation (2007) (31)
- Solid-State Dewetting and Island Morphologies in Strongly Anisotropic Materials (2015) (31)
- Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation (2018) (31)
- The Random Projection Method for Stiff Detonation Capturing (2001) (29)
- Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime (2019) (29)
- Numerical Methods for the Nonlinear Schrödinger Equation with Nonzero Far-field Conditions (2004) (29)
- Multiscale modeling and analysis for materials simulation (2011) (28)
- Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT (2015) (28)
- Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT (2014) (27)
- The Random Projection Method for Stiff Multispecies Detonation Capturing (2002) (27)
- Dynamics of vortices in weakly interacting Bose-Einstein condensates (2007) (25)
- Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization (2007) (24)
- Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse (2010) (24)
- Regularized numerical methods for the logarithmic Schrödinger equation (2018) (24)
- Numerical simulation for the problem of infinite elastic foundation (1997) (23)
- ON THE INF SUP CONDITION OF MIXED FINITE ELEMENT FORMULATIONS FOR ACOUSTIC FLUIDS (2001) (23)
- Stable Equilibria of Anisotropic Particles on Substrates: A Generalized Winterbottom Construction (2016) (23)
- Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity (2019) (22)
- ENERGY AND CHEMICAL POTENTIAL ASYMPTOTICS FOR THE GROUND STATE OF BOSE-EINSTEIN CONDENSATES IN THE SEMICLASSICAL REGIME (2007) (22)
- The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrödinger Equation (2007) (22)
- Dynamics of the center of mass in rotating Bose--Einstein condensates (2007) (22)
- ON THE GROSS-PITAEVSKII EQUATION WITH STRONGLY ANISOTROPIC CONFINEMENT: FORMAL ASYMPTOTICS AND NUMERICAL EXPERIMENTS (2005) (21)
- AN ARTIFICIAL BOUNDARY CONDITION FOR TWO‐DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOWS USING THE METHOD OF LINES (1996) (20)
- A structure-preserving parametric finite element method for surface diffusion (2021) (20)
- High-order local artificial boundary conditions for problems in unbounded domains (2000) (20)
- Convergence rate of dimension reduction in Bose-Einstein condensates (2006) (19)
- Application of Onsager's variational principle to the dynamics of a solid toroidal island on a substrate (2018) (19)
- Dynamical Laws of the Coupled Gross-Pitaevskii Equations for Spin-1 Bose-Einstein Condensates (2010) (19)
- An economical finite element approximation of generalized Newtonian flows (2002) (19)
- Review Article: Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates (2017) (18)
- Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime (2018) (18)
- Singular Limits of Klein-Gordon-Schrödinger Equations to Schrödinger-Yukawa Equations (2010) (18)
- Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains (2014) (18)
- Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime (2016) (17)
- A Parametric Finite Element Method for Solid-State Dewetting Problems in Three Dimensions (2019) (17)
- Dimension Reduction of the Schrödinger Equation with Coulomb and Anisotropic Confining Potentials (2013) (16)
- The artificial boundary conditions for incompressible materials on an unbounded domain (1997) (16)
- A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation (2017) (16)
- Uniform error bounds of a time-splitting spectral method for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity (2020) (15)
- A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime (2018) (14)
- Uniform Error Bounds of a Finite Difference Method for the Zakharov System in the Subsonic Limit Regime via an Asymptotic Consistent Formulation (2016) (14)
- Subdiffusive spreading of a Bose-Einstein condensate in random potentials (2012) (14)
- Error estimates for the finite element approximation of linear elastic equations in an unbounded domain (2001) (14)
- Vortex patterns and the critical rotational frequency in rotating dipolar Bose-Einstein condensates (2018) (13)
- A simple and efficient numerical method for computing the dynamics of rotating Bose-Einstein condensates via a rotating Lagrangian coordinate (2013) (13)
- Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation (2004) (13)
- Ground states and dynamics of rotating Bose-Einstein condensates (2007) (13)
- Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions (2019) (13)
- Solid-state dewetting on curved substrates (2018) (13)
- An efficient and accurate MPI-based parallel simulator for streamer discharges in three dimensions (2018) (13)
- Numerical Study of Quantized Vortex Interaction in the Ginzburg-Landau Equation on Bounded Domains (2013) (13)
- An energy-stable parametric finite element method for simulating solid-state dewetting (2020) (13)
- Artificial boundary conditions for incompressible Navier–Stokes equations: A well-posed result (2000) (12)
- Weakly compressible high-order I-stable central difference schemes for incompressible viscous flows (2001) (12)
- Scattering and bound states in two-dimensional anisotropic potentials (2011) (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 (1999) (11)
- Mean-field regime and Thomas–Fermi approximations of trapped Bose–Einstein condensates with higher-order interactions in one and two dimensions (2015) (11)
- An energy-stable parametric finite element method for anisotropic surface diffusion (2020) (11)
- Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity (2021) (10)
- Error bounds for the finite element approximation of an incompressible material in an unbounded domain (2003) (9)
- Continuous configuration time-dependent self-consistent field method for polyatomic quantum dynamical problems. (2005) (9)
- Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates (2012) (9)
- Nonlocal Artificial Boundary Conditions for the Incompressible Viscous Flow in a Channel Using Spectral Techniques (1996) (9)
- A Time-Splitting Spectral Method for Three-Wave Interactions in Media with Competing Quadratic and Cubic Nonlinearities (2006) (8)
- Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes (2018) (8)
- Quantized vortex stability and interaction in the nonlinear wave equation (2008) (8)
- A Uniformly Convergent Numerical Method for Singularly Perturbed Nonlinear Eigenvalue Problems (2007) (8)
- Uniformly correct multiscale time integrators for highly oscillatory second order differential equations (2013) (8)
- Approximation and comparison for motion by mean curvature with intersection points (2003) (8)
- The direct method of lines for the problem of infinite elastic foundation (1999) (8)
- Analysis and Efficient Computation for the Dynamics of Two-Component Bose-Einstein Condensates (2008) (7)
- Numerical simulations of fracture problems by coupling the FEM and the direct method of lines (2001) (7)
- Volume-Preserving Parametric Finite Element Methods for Axisymmetric Geometric Evolution Equations (2021) (7)
- Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials (2021) (7)
- Error estimates on the random projection methods for hyperbolic conservation laws with stiff reaction terms (2002) (7)
- Self-trapping of Bose-Einstein condensates expanding into shallow optical lattices (2008) (7)
- Triple junction drag effects during topological changes in the evolution of polycrystalline microstructures (2016) (7)
- The artificial boundary conditions for computing the flow around a submerged body (2000) (7)
- Ground states of Bose–Einstein condensates with higher order interaction (2017) (6)
- Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential (2019) (6)
- A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein–Gordon–Schrödinger equations in the nonrelativistic limit regime (2016) (6)
- The random projection method for a model problem of combustion with stiff chemical reactions (2002) (5)
- Fundamental gaps of the fractional Schrödinger operator (2018) (5)
- Controlling fingering instabilities in Hele-Shaw flows in the presence of wetting film effects. (2021) (5)
- Dimension reduction for anisotropic Bose–Einstein condensates in the strong interaction regime (2014) (5)
- Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic limit regime (2019) (5)
- Analysis and computation for the semiclassical limits of the ground and excited states of the Gross-Pitaevskii equation (2008) (5)
- A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator (2019) (4)
- A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves via a Cahn-Hoffman ξ-vector formulation (2021) (4)
- High-order I-stable centered difference schemes for viscous compressible flows (2008) (4)
- AN ARTIFICIAL BOUNDARY CONDITION FOR USING THE METHOD OF LINES TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOWS (1996) (4)
- Error Estimates of Local Energy Regularization for the Logarithmic Schrodinger Equation (2020) (4)
- Artificial boundary conditions for two-dimensional incompressible viscous flows around an obstacle (1997) (4)
- Collective synchronization of the multi-component Gross–Pitaevskii–Lohe system (2019) (4)
- The Random Projection Method for Stiff Detonation Waves (2002) (4)
- Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime (2015) (4)
- Computing ground states of Bose-Einstein Condensates with higher order interaction via a regularized density function formulation (2019) (4)
- Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation (2021) (4)
- Accurate and efficient calculation of photoionization in streamer discharges using fast multipole method (2020) (3)
- The Kinematic Effects of the Defects in Liquid Crystal Dynamics (2016) (3)
- Mechanical transduction via a single soft polymer. (2018) (3)
- A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters (2022) (3)
- Fundamental gaps of the Gross-Pitaevskii equation with repulsive interaction (2015) (3)
- Improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger/nonlinear Schrödinger equation (2021) (2)
- Ground states and dynamics of Bose-Einstein condensation with higher order interactions (2017) (2)
- Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law (2016) (2)
- Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime (2017) (2)
- Diffuse-interface approach to competition between viscous flow and diffusion in pinch-off dynamics (2022) (2)
- Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime (2016) (2)
- Fundamental gaps and energy asymptotics of the Gross-Pitaevskii/Nonlinear Schr\"odinger equation with repulsive interaction (2015) (2)
- Error bounds for the finite‐element approximation of the exterior Stokes equations in two dimensions (2003) (2)
- Sharp-interface approach for simulating solid-state dewetting in three dimensions (2019) (2)
- Author ' s personal copy Efficient numerical methods for computing ground states and dynamics of dipolar Bose – Einstein condensates (2010) (1)
- Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations (2022) (1)
- A symmetrized parametric finite element method for anisotropic surface diffusion in 3D (2022) (1)
- The discrete arti ® cial boundary condition on a polygonal arti ® cial boundary for the exterior problem of Poisson equation by using the direct method of lines q (1999) (1)
- Error estimates of energy regularization for the logarithmic Schrodinger equation (2020) (1)
- Polymer-Based Accurate Positioning: An Exact Worm-like-Chain Study (2018) (1)
- Dynamical self-trapping of Bose-Einstein condensates in shallow optical lattices (2008) (1)
- Models and Methods for Quantum Condensation and Fluids (2022) (1)
- Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity (2023) (1)
- Quantized Vortex Dynamics of the Nonlinear Schrödinger Equation on Torus with Non-Vanishing Momentum (2023) (1)
- Regularized numerical methods for the nonlinear Schrödinger equation with singular nonlinearity (2022) (1)
- Modeling and Simulation for Collective Dynamics (2022) (1)
- Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation (2022) (1)
- Analysis and Ecient Computation for the Schrodinger Equations in the Semiclassical Regimes (2007) (0)
- Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity (2023) (0)
- Power-law scaling for solid-state dewetting of thin films: an Onsager variational approach (2020) (0)
- Arti ® cial boundary conditions for incompressible Navier ± Stokes equations : A well-posed result q (2000) (0)
- Mathematical models and numerical methods for spinor (2017) (0)
- A symmetrized parametric finite element method for anisotropic surface diffusion ii. three dimensions (2022) (0)
- Convergence rates in the nonrelativistic limit of the cubic Klein-Gordon equation (2023) (0)
- Mathematical Models and Numerical Meth- ods for Bose-Einstein Condensation (2014) (0)
- E 97 , 042504 ( 2018 ) Mechanical transduction via a single soft polymer (2018) (0)
- The Random Projection Method for Stiff Multi-species Detonation Computation (2001) (0)
- A Regularized Newton Method for Computing Ground States of Bose–Einstein Condensates (2017) (0)
- TIME-SPLITTING SINE-SPECTRAL APPROXIMATION FOR THE NONLINEAR SCHRÖDINGER EQUATIONS (2002) (0)
- Modelling and numerical methods in quantum kinetic theory (2005) (0)
- Mean-fi eld regime and Thomas – Fermi approximations of trapped Bose – Einstein condensates with higher-order interactions in one and two dimensions (2016) (0)
- A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation (2018) (0)
- Preface: Special Issue Dedicated to Professor Eitan Tadmor's 60th Birthday (2016) (0)
- Single-polymer ‘ flyfishing ’ effect for nanoscale motors and machines : an exact worm-like-chain model study (2014) (0)
- 2 4 A pr 2 01 8 Mathematical models and numerical methods for spinor Bose-Einstein condensates (2018) (0)
- Numerical L Methods for Schrödinger Equations (2002) (0)
- A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy (2022) (0)
- Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime (2011) (0)
- CONDENSATES IN THE STRONG INTERACTION REGIME (2016) (0)
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