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Pingwen Zhang
Pingwen Zhang
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Lei Zhang

Lei Zhang

2020-2022

Research Interests
  • Digital Economy

Latest

  • Nucleation and phase transition of decagonal quasicrystals
  • Semi-implicit method of high-index saddle dynamics and application to construct solution landscape
  • A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape
  • Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere
  • Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics
  • Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions
  • Probabilistic error estimate for numerical discretization of high-index saddle dynamics with inaccurate models
  • Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm
  • Error estimates for euler discretization of high-index saddle dynamics
  • Solution Landscape of the Onsager Model Identifies Non-axisymmetric Critical Points
  • Modeling and Computation of Liquid Crystals
  • Solution landscape of a reduced Landau–de Gennes model on a hexagon
  • Transition pathways connecting crystals and quasicrystals
  • Construction of a Pathway Map on a Complicated Energy Landscape
  • Transition pathways between defect patterns in confined nematic liquid crystals

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