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Mathematics
Singapore
2026

D-Index & Metrics

Mathematics

D-Index
51
Citations
10735
World Ranking
1024
National Ranking
3

Engineering and Technology

D-Index
52
Citations
10813
World Ranking
3607
National Ranking
45

Research.com Recognitions

  • 2026 - Research.com Mathematics in Singapore Leader Award
  • 2025 - Research.com Mathematics in Singapore Leader Award
  • 2022 - Research.com Mathematics in Singapore Leader Award

Overview

Weizhu Bao is affiliated with the National University of Singapore in Singapore. Their research spans several fields including engineering and mathematics, with a focus on computational mechanics, numerical analysis, and mathematical physics.

The scientist's work covers a variety of main topics:

  • Numerical methods for differential equations
  • Fluid dynamics and thin films
  • Advanced mathematical physics problems
  • Electromagnetic simulation and numerical methods
  • Lattice Boltzmann simulation studies
  • Nonlinear photonic systems
  • Cold atom physics and Bose-Einstein condensates

Key recent publications by Weizhu Bao include:

  • Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity, 2022, SIAM Journal on Numerical Analysis
  • Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity, 2021, Mathematics of Computation
  • A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion of Closed Curves, 2023, SIAM Journal on Numerical Analysis
  • An energy-stable parametric finite element method for simulating solid-state dewetting, 2020, IMA Journal of Numerical Analysis
  • Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions, 2020, SIAM Journal on Applied Mathematics

Their frequent publication venues include:

  • arXiv (Cornell University)
  • SIAM Journal on Numerical Analysis
  • Journal of Computational Physics
  • Mathematics of Computation
  • SSRN Electronic Journal

Weizhu Bao has also contributed to academic books published by the Lecture Notes Series of the Institute For Mathematical Sciences, including:

  • Models and Methods for Quantum Condensation and Fluids, 2022
  • Modeling and Simulation for Collective Dynamics, 2022

Frequent co-authors of Weizhu Bao are:

  • Quan Zhao
  • Yongyong Cai
  • Wei Jiang
  • Yue Feng
  • Chushan Wang

Best Publications

  • Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation

    Weizhu Bao;Dieter Jaksch;Peter A. Markowich

  • Mathematical theory and numerical methods for Bose-Einstein condensation

    Weizhu Bao;Yongyong Cai

  • Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

    Weizhu Bao;Qiang Du

  • On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime

    Weizhu Bao;Shi Jin;Peter A. Markowich

  • Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations

    Xavier Antoine;Xavier Antoine;Weizhu Bao;Christophe Besse

  • Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

    Weizhu Bao;Shi Jin;Peter A. Markowich

  • A Fourth-Order Time-Splitting Laguerre--Hermite Pseudospectral Method for Bose--Einstein Condensates

    Weizhu Bao;Jie Shen

  • Ground-state solution of Bose--Einstein condensate by directly minimizing the energy functional

    Weizhu Bao;Weijun Tang

  • Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator

    Weizhu Bao;Yongyong Cai

  • Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

    Weizhu Bao;Yongyong Cai

  • Ground States and Dynamics of Multicomponent Bose--Einstein Condensates

    Weizhu Bao

  • Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime

    Weizhu Bao;Xuanchun Dong

  • Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates

    Weizhu Bao;I-Liang Chern;Fong Yin Lim

  • Ground, Symmetric and Central Vortex States in Rotating Bose-Einstein Condensates

    Weizhu Bao;Hanquan Wang;Peter A. Markowich

  • Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates

    Weizhu Bao;Yongyong Cai;Hanquan Wang

  • An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates

    Weizhu Bao;Hanquan Wang

  • Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation

    Weizhu Bao;Qiang Du;Yanzhi Zhang

  • Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations

    Weizhu Bao;Li Yang

  • An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity

    Weizhu Bao;Dieter Jaksch

  • Phase field approach for simulating solid-state dewetting problems

    Wei Jiang;Weizhu Bao;Carl V. Thompson;David J. Srolovitz

  • A fourth-order time-splitting Laguerre-Hermite pseudo-spectral method for Bose-Einstein condensates

    Weizhu Bao;Jie Shen

  • MATHEMATICAL THEORY AND NUMERICAL METHODS FOR

    Weizhu Bao;Yongyong Cai

Frequent Co-Authors

Wei Jiang
Wei Jiang Wuhan University
Shi Jin
Shi Jin Shanghai Jiao Tong University
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology
Qiang Du
Qiang Du Columbia University
David J. Srolovitz
David J. Srolovitz University of Hong Kong
Jie Shen
Jie Shen Eastern Institute of Technology, Ningbo
Leslie Greengard
Leslie Greengard New York University
Xavier Antoine
Xavier Antoine University of Lorraine
Seung-Yeal Ha
Seung-Yeal Ha Seoul National University

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