<?xml version="1.0" encoding="utf-8" standalone="yes" ?>
<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom">
  <channel>
    <title>张 磊 | 张平文</title>
    <link>https://www.math.pku.edu.cn/pzhang/zh/authors/lei-zhang/</link>
      <atom:link href="https://www.math.pku.edu.cn/pzhang/zh/authors/lei-zhang/index.xml" rel="self" type="application/rss+xml" />
    <description>张 磊</description>
    <generator>Wowchemy (https://wowchemy.com)</generator><language>zh-Hans</language><lastBuildDate>Sun, 01 Jun 2025 00:00:00 +0000</lastBuildDate>
    <image>
      <url>https://www.math.pku.edu.cn/pzhang/zh/authors/lei-zhang/avatar_hu3c0921ddd27bd531cd738a54b57f327f_15438_270x270_fill_q75_lanczos_center.jpg</url>
      <title>张 磊</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/authors/lei-zhang/</link>
    </image>
    
    <item>
      <title>Construction and analysis for orthonormalized Runge-Kutta schemes of high-index saddle dynamics</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2025_caorshsd/</link>
      <pubDate>Sun, 01 Jun 2025 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2025_caorshsd/</guid>
      <description></description>
    </item>
    
    <item>
      <title>A diffuse-interface Landau-de Gennes model for free-boundary problems in the theory of nematic liquid crystals</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2025_dlgmfptnlc/</link>
      <pubDate>Wed, 01 Jan 2025 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2025_dlgmfptnlc/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Construction and analysis for Adams explicit discretization of high-index saddle dynamics</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2025_caaedhsd/</link>
      <pubDate>Wed, 01 Jan 2025 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2025_caaedhsd/</guid>
      <description></description>
    </item>
    
    <item>
      <title>UNDERSTANDING HIGH-INDEX SADDLE DYNAMICS VIA NUMERICAL ANALYSIS</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2025_uhsdna/</link>
      <pubDate>Wed, 01 Jan 2025 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2025_uhsdna/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Nucleation and phase transition of decagonal quasicrystals</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2024_nptdq/</link>
      <pubDate>Mon, 01 Jan 2024 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2024_nptdq/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Semi-implicit method of high-index saddle dynamics and application to construct solution landscape</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2024_smhsdacsl/</link>
      <pubDate>Mon, 01 Jan 2024 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2024_smhsdacsl/</guid>
      <description></description>
    </item>
    
    <item>
      <title>A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_mssdfspsl/</link>
      <pubDate>Sun, 01 Jan 2023 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_mssdfspsl/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_dieachsdhs/</link>
      <pubDate>Sun, 01 Jan 2023 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_dieachsdhs/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_eesmshsd/</link>
      <pubDate>Sun, 01 Jan 2023 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_eesmshsd/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_mnassdllc/</link>
      <pubDate>Sun, 01 Jan 2023 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_mnassdllc/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Probabilistic error estimate for numerical discretization of high-index saddle dynamics with inaccurate models</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_peendhsdim/</link>
      <pubDate>Sun, 01 Jan 2023 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2023_peendhsdim/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2022_cslnspfaa/</link>
      <pubDate>Sat, 01 Jan 2022 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2022_cslnspfaa/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Error estimates for euler discretization of high-index saddle dynamics</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2022_eeedhsd/</link>
      <pubDate>Sat, 01 Jan 2022 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2022_eeedhsd/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Solution Landscape of the Onsager Model Identifies Non-axisymmetric Critical Points</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2022_slomincp/</link>
      <pubDate>Sat, 01 Jan 2022 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2022_slomincp/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Modeling and Computation of Liquid Crystals</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2021_mclc/</link>
      <pubDate>Fri, 01 Jan 2021 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2021_mclc/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Solution landscape of a reduced Landau–de Gennes model on a hexagon</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2021_slrlgmh/</link>
      <pubDate>Fri, 01 Jan 2021 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2021_slrlgmh/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Transition pathways connecting crystals and quasicrystals</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2021_tpccq/</link>
      <pubDate>Fri, 01 Jan 2021 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2021_tpccq/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Construction of a Pathway Map on a Complicated Energy Landscape</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2020_cpmcel/</link>
      <pubDate>Wed, 01 Jan 2020 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2020_cpmcel/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Transition pathways between defect patterns in confined nematic liquid crystals</title>
      <link>https://www.math.pku.edu.cn/pzhang/zh/publication/2019_tpbdpcnlc/</link>
      <pubDate>Tue, 01 Jan 2019 00:00:00 +0000</pubDate>
      <guid>https://www.math.pku.edu.cn/pzhang/zh/publication/2019_tpbdpcnlc/</guid>
      <description></description>
    </item>
    
  </channel>
</rss>
