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Pingwen Zhang
Pingwen Zhang
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Xiangcheng Zheng

Xiangcheng Zheng

2021-2023

Research Interests
  • Algorithms and their analysis and applications in scientific computing

Latest

  • 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

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