Publications | 张平文 https://www.math.pku.edu.cn/pzhang/zh/publication/ Publications Wowchemy (https://wowchemy.com)zh-HansWed, 01 Oct 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/images/icon_hua2ec155b4296a9c9791d015323e16eb5_11927_512x512_fill_lanczos_center_3.png Publications https://www.math.pku.edu.cn/pzhang/zh/publication/ State-observation augmented diffusion model for nonlinear assimilation with unknown dynamics https://www.math.pku.edu.cn/pzhang/zh/publication/2025_sadmnaud/ Wed, 01 Oct 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_sadmnaud/ Construction and analysis for orthonormalized Runge-Kutta schemes of high-index saddle dynamics https://www.math.pku.edu.cn/pzhang/zh/publication/2025_caorshsd/ Sun, 01 Jun 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_caorshsd/ Designing a minimal Landau model to stabilize desired quasicrystals https://www.math.pku.edu.cn/pzhang/zh/publication/2025_dmlmsdq/ Tue, 01 Apr 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_dmlmsdq/ A diffuse-interface Landau-de Gennes model for free-boundary problems in the theory of nematic liquid crystals https://www.math.pku.edu.cn/pzhang/zh/publication/2025_dlgmfptnlc/ Wed, 01 Jan 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_dlgmfptnlc/ Construction and analysis for Adams explicit discretization of high-index saddle dynamics https://www.math.pku.edu.cn/pzhang/zh/publication/2025_caaedhsd/ Wed, 01 Jan 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_caaedhsd/ DRM Revisited: A Complete Error Analysis https://www.math.pku.edu.cn/pzhang/zh/publication/2025_drcea/ Wed, 01 Jan 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_drcea/ IRRATIONAL-WINDOW-FILTER PROJECTION METHOD AND APPLICATION TO QUASIPERIODIC SCHRODINGER EIGENPROBLEMS https://www.math.pku.edu.cn/pzhang/zh/publication/2025_ipmaqse/ Wed, 01 Jan 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_ipmaqse/ ON THE APPROXIMATION OF QUASIPERIODIC FUNCTIONS WITH DIOPHANTINE FREQUENCIES BY PERIODIC FUNCTIONS https://www.math.pku.edu.cn/pzhang/zh/publication/2025_aqfdfpf/ Wed, 01 Jan 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_aqfdfpf/ Stability of Diverse Dodecagonal Quasicrystals in T-Shaped Liquid Crystalline Molecules https://www.math.pku.edu.cn/pzhang/zh/publication/2025_sddqtlcm/ Wed, 01 Jan 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_sddqtlcm/ UNDERSTANDING HIGH-INDEX SADDLE DYNAMICS VIA NUMERICAL ANALYSIS https://www.math.pku.edu.cn/pzhang/zh/publication/2025_uhsdna/ Wed, 01 Jan 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_uhsdna/ 专家知识数据化与文科智能 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_zjzssjhywkzn/ Wed, 01 Jan 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_zjzssjhywkzn/ 数字生态与治理（第三辑） https://www.math.pku.edu.cn/pzhang/zh/publication/2025_szstyzldsj/ Wed, 01 Jan 2025 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2025_szstyzldsj/ π-HuB: the proteomic navigator of the human body https://www.math.pku.edu.cn/pzhang/zh/publication/2024_%CF%80pnhb/ Sun, 01 Dec 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_%CF%80pnhb/ Accurately Recover Global Quasiperiodic Systems by Finite Points https://www.math.pku.edu.cn/pzhang/zh/publication/2024_argqsfp/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_argqsfp/ An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems https://www.math.pku.edu.cn/pzhang/zh/publication/2024_ambldmdpds/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_ambldmdpds/ Improved freezing rain forecast using machine learning https://www.math.pku.edu.cn/pzhang/zh/publication/2024_ifrfuml/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_ifrfuml/ Latent assimilation with implicit neural representations for unknown dynamics https://www.math.pku.edu.cn/pzhang/zh/publication/2024_lainrud/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_lainrud/ Nucleation and phase transition of decagonal quasicrystals https://www.math.pku.edu.cn/pzhang/zh/publication/2024_nptdq/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_nptdq/ Numerical Methods and Analysis of Computing Quasiperiodic Systems https://www.math.pku.edu.cn/pzhang/zh/publication/2024_nmacqs/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_nmacqs/ Recovering the Source Term in Elliptic Equation via Deep Learning: Method and Convergence Analysis https://www.math.pku.edu.cn/pzhang/zh/publication/2024_rsteedlmca/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_rsteedlmca/ Semi-implicit method of high-index saddle dynamics and application to construct solution landscape https://www.math.pku.edu.cn/pzhang/zh/publication/2024_smhsdacsl/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_smhsdacsl/ Theory of Polygonal Phases Self-Assembled from T-Shaped Liquid Crystalline Molecules https://www.math.pku.edu.cn/pzhang/zh/publication/2024_tppstlcm/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_tppstlcm/ 充分发挥高水平研究型大学在科技强国建设中的独特作用 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_cffhgspyjxdxzkjqgjszddtzy/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_cffhgspyjxdxzkjqgjszddtzy/ 应用数学落地研究-国家需求驱动应用数学发展 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_yysxldyjgjxqqdyysxfz/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_yysxldyjgjxqqdyysxfz/ 数字生态与治理（第二辑） https://www.math.pku.edu.cn/pzhang/zh/publication/2024_szstyzldej/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_szstyzldej/ 高校应找准服务发展新质生产力的发力点 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_gxyzzfwfzxzscldfld/ Mon, 01 Jan 2024 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2024_gxyzzfwfzxzscldfld/ A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape https://www.math.pku.edu.cn/pzhang/zh/publication/2023_mssdfspsl/ Sun, 01 Jan 2023 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_mssdfspsl/ Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere https://www.math.pku.edu.cn/pzhang/zh/publication/2023_dieachsdhs/ Sun, 01 Jan 2023 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_dieachsdhs/ Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics https://www.math.pku.edu.cn/pzhang/zh/publication/2023_eesmshsd/ Sun, 01 Jan 2023 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_eesmshsd/ Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions https://www.math.pku.edu.cn/pzhang/zh/publication/2023_mnassdllc/ Sun, 01 Jan 2023 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_mnassdllc/ Probabilistic error estimate for numerical discretization of high-index saddle dynamics with inaccurate models https://www.math.pku.edu.cn/pzhang/zh/publication/2023_peendhsdim/ Sun, 01 Jan 2023 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_peendhsdim/ 关于数学学科高层次人才培养的思考 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_gysxxkgccrcpydsk/ Sun, 01 Jan 2023 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_gysxxkgccrcpydsk/ 围绕首都“四个中心”建设辐射带动北京市属高校发展 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_wrsdsgzxjsfsddbjssgxfz/ Sun, 01 Jan 2023 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_wrsdsgzxjsfsddbjssgxfz/ 数字生态与治理 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_szstyzl/ Sun, 01 Jan 2023 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2023_szstyzl/ A deep spatio-temporal forecasting model for multi-site weather prediction post-processing https://www.math.pku.edu.cn/pzhang/zh/publication/2022_dsfmmwpp/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_dsfmmwpp/ A station-data-based model residual machine learning method for fine-grained meteorological grid prediction https://www.math.pku.edu.cn/pzhang/zh/publication/2022_smrmlmfmgp/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_smrmlmfmgp/ Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm https://www.math.pku.edu.cn/pzhang/zh/publication/2022_cslnspfaa/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_cslnspfaa/ Error estimates for euler discretization of high-index saddle dynamics https://www.math.pku.edu.cn/pzhang/zh/publication/2022_eeedhsd/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_eeedhsd/ Shaping future low-carbon energy and transportation systems: Digital technologies and applications https://www.math.pku.edu.cn/pzhang/zh/publication/2022_sfletsdta/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_sfletsdta/ Solution Landscape of the Onsager Model Identifies Non-axisymmetric Critical Points https://www.math.pku.edu.cn/pzhang/zh/publication/2022_slomincp/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_slomincp/ The comparative study on the digital economy and trade between China, the U.S. and the EU https://www.math.pku.edu.cn/pzhang/zh/publication/2022_csdetbcue/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_csdetbcue/ 中国数字生态指数的测算与分析 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_zgszstzsdcsyfx/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_zgszstzsdcsyfx/ 中美欧数字经济与贸易的比较研究 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_zmoszjjymydbjyj/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_zmoszjjymydbjyj/ 数字治理格局研判的理论与方法探索 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_szzlgjypdllyffts/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_szzlgjypdllyffts/ 数字经济将成为国家发展新征程的助推器 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_szjjjcwgjfzxzcdztq/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_szjjjcwgjfzxzcdztq/ 数据要素五论——信息、权属、价值、安全、交易 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_sjyswlxxqsjzaqjy/ Sat, 01 Jan 2022 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2022_sjyswlxxqsjzaqjy/ Modeling and Computation of Liquid Crystals https://www.math.pku.edu.cn/pzhang/zh/publication/2021_mclc/ Fri, 01 Jan 2021 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2021_mclc/ Solution landscape of a reduced Landau–de Gennes model on a hexagon https://www.math.pku.edu.cn/pzhang/zh/publication/2021_slrlgmh/ Fri, 01 Jan 2021 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2021_slrlgmh/ Transition pathways connecting crystals and quasicrystals https://www.math.pku.edu.cn/pzhang/zh/publication/2021_tpccq/ Fri, 01 Jan 2021 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2021_tpccq/ 把脉问诊、对标一流：北京大学学科国际同行评议的探索与启示 https://www.math.pku.edu.cn/pzhang/zh/publication/2021_bmwzdbylbjdxxkgjtxpydtsyqs/ Fri, 01 Jan 2021 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2021_bmwzdbylbjdxxkgjtxpydtsyqs/ 数学与企业创新 https://www.math.pku.edu.cn/pzhang/zh/publication/2021_sxyqycx/ Fri, 01 Jan 2021 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2021_sxyqycx/ A Data-Driven Random Subfeature Ensemble Learning Algorithm for Weather Forecasting https://www.math.pku.edu.cn/pzhang/zh/publication/2020_drselawf/ Wed, 01 Jan 2020 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2020_drselawf/ A Variable-Separation Method for Nonlinear Partial Differential Equations With Random Inputs https://www.math.pku.edu.cn/pzhang/zh/publication/2020_vmnpderi/ Wed, 01 Jan 2020 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2020_vmnpderi/ Analysis of the energy-minimization multiscale model with multiobjective optimization https://www.math.pku.edu.cn/pzhang/zh/publication/2020_aemmmo/ Wed, 01 Jan 2020 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2020_aemmmo/ Anisotropic Nonlocal Diffusion Operators for Normal and Anomalous Dynamics https://www.math.pku.edu.cn/pzhang/zh/publication/2020_andonad/ Wed, 01 Jan 2020 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2020_andonad/ Construction of a Pathway Map on a Complicated Energy Landscape https://www.math.pku.edu.cn/pzhang/zh/publication/2020_cpmcel/ Wed, 01 Jan 2020 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2020_cpmcel/ Detecting Suspected Epidemic Cases Using Trajectory Big Data https://www.math.pku.edu.cn/pzhang/zh/publication/2020_dsecutbd/ Wed, 01 Jan 2020 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2020_dsecutbd/ Machine Learning-based Weather Support for the 2022 Winter Olympics https://www.math.pku.edu.cn/pzhang/zh/publication/2020_mlws2wo/ Wed, 01 Jan 2020 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2020_mlws2wo/ 关于《大学与学科》的若干思考 https://www.math.pku.edu.cn/pzhang/zh/publication/2020_gydxyxkdrgsk/ Wed, 01 Jan 2020 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2020_gydxyxkdrgsk/ A Model Output Machine Learning Method for Grid Temperature Forecasts in the Beijing Area https://www.math.pku.edu.cn/pzhang/zh/publication/2019_momlmgtfba/ Tue, 01 Jan 2019 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2019_momlmgtfba/ Detecting Particle Clusters in Particle-Fluid Systems by a Density Based Method https://www.math.pku.edu.cn/pzhang/zh/publication/2019_dpcpsdbm/ Tue, 01 Jan 2019 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2019_dpcpsdbm/ Elastic properties of liquid-crystalline bilayers self-assembled from semiflexible-flexible deblock copolymers https://www.math.pku.edu.cn/pzhang/zh/publication/2019_eplbssdc/ Tue, 01 Jan 2019 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2019_eplbssdc/ Transition pathways between defect patterns in confined nematic liquid crystals https://www.math.pku.edu.cn/pzhang/zh/publication/2019_tpbdpcnlc/ Tue, 01 Jan 2019 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2019_tpbdpcnlc/ A Fast Algorithm for the Moments of Bingham Distribution https://www.math.pku.edu.cn/pzhang/zh/publication/2018_fambd/ Mon, 01 Jan 2018 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2018_fambd/ A tensor model for nematic phases of bent-core molecules based on molecular theory https://www.math.pku.edu.cn/pzhang/zh/publication/2018_tmnpbmbmt/ Mon, 01 Jan 2018 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2018_tmnpbmbmt/ Approximations on SO(3) by Wigner D-matrix and Applications https://www.math.pku.edu.cn/pzhang/zh/publication/2018_aswda/ Mon, 01 Jan 2018 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2018_aswda/ Boundary Problems for the Fractional and Tempered Fractional Operators https://www.math.pku.edu.cn/pzhang/zh/publication/2018_bpftfo/ Mon, 01 Jan 2018 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2018_bpftfo/ Calculating Elastic Constants of Bent-Core Molecules from Onsager-Theory-Based Tensor Model https://www.math.pku.edu.cn/pzhang/zh/publication/2018_cecbmotm/ Mon, 01 Jan 2018 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2018_cecbmotm/ Formation of three-dimensional colloidal crystals in a nematic liquid crystal https://www.math.pku.edu.cn/pzhang/zh/publication/2018_ftccnlc/ Mon, 01 Jan 2018 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2018_ftccnlc/ Local minimizer and De Giorgi’s type conjecture for the isotropic–nematic interface problem https://www.math.pku.edu.cn/pzhang/zh/publication/2018_lmdgtciip/ Mon, 01 Jan 2018 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2018_lmdgtciip/ On the Isotropic-Nematic Phase Transition for the Liquid Crystal https://www.math.pku.edu.cn/pzhang/zh/publication/2018_iptlc/ Mon, 01 Jan 2018 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2018_iptlc/ Onsager-theory-based dynamic model for nematic phases of bent-core molecules and star molecules https://www.math.pku.edu.cn/pzhang/zh/publication/2018_odmnpbmsm/ Mon, 01 Jan 2018 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2018_odmnpbmsm/ Computing Optimal Interfacial Structure of Modulated Phases https://www.math.pku.edu.cn/pzhang/zh/publication/2017_coismp/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_coismp/ Defects Around a Spherical Particle in Cholesteric Liquid Crystals https://www.math.pku.edu.cn/pzhang/zh/publication/2017_daspclc/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_daspclc/ Liquid Crystalline Bilayers Self-Assembled from Rod-Coil Diblock Copolymers https://www.math.pku.edu.cn/pzhang/zh/publication/2017_lcbsrdc/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_lcbsrdc/ On equilibrium configurations of nematic liquid crystals droplet with anisotropic elastic energy https://www.math.pku.edu.cn/pzhang/zh/publication/2017_ecnlcdaee/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_ecnlcdaee/ On Minimizers for the Isotropic-Nematic Interface Problem https://www.math.pku.edu.cn/pzhang/zh/publication/2017_miip/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_miip/ Stability of Half-Degree Point Defect Profiles for 2D Nematic Liquid Crystals https://www.math.pku.edu.cn/pzhang/zh/publication/2017_shpdp2nlc/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_shpdp2nlc/ Stability of Icosahedral Quasicrystals in a Simple Model with Two-Length Scales https://www.math.pku.edu.cn/pzhang/zh/publication/2017_siqsmts/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_siqsmts/ The Transmission of Symmetry of Liquid Crystals https://www.math.pku.edu.cn/pzhang/zh/publication/2017_tslc/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_tslc/ Topological Defects in an Unconfined Nematic Fluid Induced by Single and Double Spherical Colloidal Particles https://www.math.pku.edu.cn/pzhang/zh/publication/2017_tdunfisdscp/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_tdunfisdscp/ Transition of Defect Patterns from 2D to 3D in Liquid Crystals https://www.math.pku.edu.cn/pzhang/zh/publication/2017_tdp23lc/ Sun, 01 Jan 2017 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2017_tdp23lc/ Nematic ordering of semi-flexible polymers confined on a toroidal surface https://www.math.pku.edu.cn/pzhang/zh/publication/2016_nospcts/ Fri, 01 Jan 2016 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2016_nospcts/ On the Disclination Lines of Nematic Liquid Crystals https://www.math.pku.edu.cn/pzhang/zh/publication/2016_dlnlc/ Fri, 01 Jan 2016 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2016_dlnlc/ Stability of Soft Quasicrystals in a Coupled-Mode Swift-Hohenberg Model for Three-Component Systems https://www.math.pku.edu.cn/pzhang/zh/publication/2016_ssqcsmts/ Fri, 01 Jan 2016 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2016_ssqcsmts/ Analytic Structure of the SCFT Energy Functional of Multicomponent Block Copolymers https://www.math.pku.edu.cn/pzhang/zh/publication/2015_assefmbc/ Thu, 01 Jan 2015 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2015_assefmbc/ Application of Self-consistent Field Theory to Self-Assembled Bilayer Membrane https://www.math.pku.edu.cn/pzhang/zh/publication/2015_asftsbm/ Thu, 01 Jan 2015 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2015_asftsbm/ Dynamic Transitions and Pattern Formations for a Cahn-Hilliard Model with Long-Range Repulsive Interactions https://www.math.pku.edu.cn/pzhang/zh/publication/2015_dtpfcmlri/ Thu, 01 Jan 2015 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2015_dtpfcmlri/ Efficient numerical schemes for solving the self-consistent field equations of flexible–semiflexible diblock copolymers https://www.math.pku.edu.cn/pzhang/zh/publication/2015_ensssfefdc/ Thu, 01 Jan 2015 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2015_ensssfefdc/ From Microscopic Theory to Macroscopic Theory: a Systematic Study on Modeling for Liquid Crystals https://www.math.pku.edu.cn/pzhang/zh/publication/2015_mtmtssmlc/ Thu, 01 Jan 2015 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2015_mtmtssmlc/ Local Well-posedness and Small Deborah Limit of A Molecular-Based Q-Tensor System https://www.math.pku.edu.cn/pzhang/zh/publication/2015_lwsdlmqs/ Thu, 01 Jan 2015 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2015_lwsdlmqs/ Rigorous Derivation from Landau-De Gennes Theory to Ericksen-Leslie Theory https://www.math.pku.edu.cn/pzhang/zh/publication/2015_rdlgtet/ Thu, 01 Jan 2015 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2015_rdlgtet/ Stability of Two-Dimensional Soft Quasicrystals in Systems with Two Length Scales https://www.math.pku.edu.cn/pzhang/zh/publication/2015_stsqstls/ Thu, 01 Jan 2015 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2015_stsqstls/ The Small Deborah Number Limit of the Doi-Onsager Equation to the Ericksen-Leslie Equation https://www.math.pku.edu.cn/pzhang/zh/publication/2015_sdnldeee/ Thu, 01 Jan 2015 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2015_sdnldeee/ Boundary Effects in Confined Copolymer System and Compressible SCFT Model https://www.math.pku.edu.cn/pzhang/zh/publication/2014_beccscsm/ Wed, 01 Jan 2014 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2014_beccscsm/ Conformation of Polyelectrolytes in Poor Sol-vents: Variational Approach and Quantitative Comparison with Scaling Predictions https://www.math.pku.edu.cn/pzhang/zh/publication/2014_cppsvaqcsp/ Wed, 01 Jan 2014 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2014_cppsvaqcsp/ Dynamic Transition for Landau-Brazovskii Model https://www.math.pku.edu.cn/pzhang/zh/publication/2014_dtlm/ Wed, 01 Jan 2014 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2014_dtlm/ From Microscopic Theory to Macroscopic Theory - Symmetries and Order Parameters of Rigid Molecules https://www.math.pku.edu.cn/pzhang/zh/publication/2014_mtmt-soprm/ Wed, 01 Jan 2014 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2014_mtmt-soprm/ Is There a Third Order Phase Transition for Supercritical Fluids? https://www.math.pku.edu.cn/pzhang/zh/publication/2014_ittoptsf/ Wed, 01 Jan 2014 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2014_ittoptsf/ Numerical Methods for Quasicrystals https://www.math.pku.edu.cn/pzhang/zh/publication/2014_nmq/ Wed, 01 Jan 2014 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2014_nmq/ Rigid Linear Particles Con ned on a Spherical Surface: Phase Diagram of Nematic Defect States https://www.math.pku.edu.cn/pzhang/zh/publication/2014_rlpcnsspdnds/ Wed, 01 Jan 2014 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2014_rlpcnsspdnds/ A Strategy to Explore Stable and Metastable Ordered Phases of Block Copolymers https://www.math.pku.edu.cn/pzhang/zh/publication/2013_sesmopbc/ Tue, 01 Jan 2013 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2013_sesmopbc/ A Tensor Model for Liquid Crystals on a Spherical Surface https://www.math.pku.edu.cn/pzhang/zh/publication/2013_tmlcss/ Tue, 01 Jan 2013 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2013_tmlcss/ Discovery of New Metastable Patterns in Diblock Copolymers https://www.math.pku.edu.cn/pzhang/zh/publication/2013_dnmpdc/ Tue, 01 Jan 2013 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2013_dnmpdc/ Measuring the Spontaneous Curvature of Bilayer Membranes by Molecular Dynamics Simulations https://www.math.pku.edu.cn/pzhang/zh/publication/2013_mscbmmds/ Tue, 01 Jan 2013 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2013_mscbmmds/ Modified Diffusion Equation for the Wormlike-chain Statistics in Curvilinear Coordinates https://www.math.pku.edu.cn/pzhang/zh/publication/2013_mdewscc/ Tue, 01 Jan 2013 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2013_mdewscc/ Nucleation Rate Calculation for the Phase Transition of Diblock Copolymers under Stochastic Cahn-Hilliard Dynamics https://www.math.pku.edu.cn/pzhang/zh/publication/2013_nrcptdcuscd/ Tue, 01 Jan 2013 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2013_nrcptdcuscd/ Simulation Study of Quasi-Ballistic Transport in Asymmetric DG-MOSFET by Directly Solving Boltzmann Transport Equation https://www.math.pku.edu.cn/pzhang/zh/publication/2013_ssqtaddsbte/ Tue, 01 Jan 2013 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2013_ssqtaddsbte/ Well-Posedness of the Ericksen-Leslie System https://www.math.pku.edu.cn/pzhang/zh/publication/2013_wes/ Tue, 01 Jan 2013 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2013_wes/ Computable Modeling(Chinese) https://www.math.pku.edu.cn/pzhang/zh/publication/2012_cm/ Sun, 01 Jan 2012 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2012_cm/ Error estimate of short-range force calculation in inhomogeneous molecular systems https://www.math.pku.edu.cn/pzhang/zh/publication/2012_eesfcims/ Sun, 01 Jan 2012 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2012_eesfcims/ Numerical Study for the Nucleation of One-Dimensional Stochastic Cahn-Hilliard Dynamics https://www.math.pku.edu.cn/pzhang/zh/publication/2012_nsnoscd/ Sun, 01 Jan 2012 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2012_nsnoscd/ On the Numerical Accuracy of Ewald Smooth Particle Mesh Ewald and Staggered Mesh Ewald Methods for Correlated Molecular Systems https://www.math.pku.edu.cn/pzhang/zh/publication/2012_naespmesmemcms/ Sun, 01 Jan 2012 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2012_naespmesmemcms/ Well-Posedness of Hydrodynamics on the Moving Elastic Surface https://www.math.pku.edu.cn/pzhang/zh/publication/2012_whmes/ Sun, 01 Jan 2012 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2012_whmes/ A Finite Volume Method for the Multi Subband Boltzmann Equation with Realistic 2D Scattering in Double Gate MOSFETs https://www.math.pku.edu.cn/pzhang/zh/publication/2011_fvmmsber2sdgm/ Sat, 01 Jan 2011 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2011_fvmmsber2sdgm/ Effect of exposure to trace elements in the soil on the prevalence of neural tube defects in a high-risk area of China https://www.math.pku.edu.cn/pzhang/zh/publication/2011_eetespntdhac/ Sat, 01 Jan 2011 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2011_eetespntdhac/ On the existence of a third-order phase transition beyond the Andrews critical point: A molecular dynamics study https://www.math.pku.edu.cn/pzhang/zh/publication/2011_etptbacpmds/ Sat, 01 Jan 2011 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2011_etptbacpmds/ Origin of epitaxies between ordered phases of block copolymers https://www.math.pku.edu.cn/pzhang/zh/publication/2011_oebopbc/ Sat, 01 Jan 2011 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2011_oebopbc/ A Nonhomogeneous Kinetic Model of Liquid Crystal Polymers and Its Thermodynamic Closure Approximation https://www.math.pku.edu.cn/pzhang/zh/publication/2010_nkmlcpitca/ Fri, 01 Jan 2010 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2010_nkmlcpitca/ A numerical method for the study of nucleation of ordered phases https://www.math.pku.edu.cn/pzhang/zh/publication/2010_nmsnop/ Fri, 01 Jan 2010 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2010_nmsnop/ Local Existence and Uniqueness of the Dynamical Equations of an Incompressible Membrane in Two-Dimensional Space https://www.math.pku.edu.cn/pzhang/zh/publication/2010_leudeimts/ Fri, 01 Jan 2010 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2010_leudeimts/ Nucleation of Ordered Phases in Block Copolymers https://www.math.pku.edu.cn/pzhang/zh/publication/2010_nopbc/ Fri, 01 Jan 2010 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2010_nopbc/ Spectral method for exploring patterns of diblock copolymers https://www.math.pku.edu.cn/pzhang/zh/publication/2010_smepdc/ Fri, 01 Jan 2010 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2010_smepdc/ A Kinetic-Hydrodynamic Simulation of Liquid Crystalline Polymers Under Plane Shear Flow: 1+2 Dimensional Case https://www.math.pku.edu.cn/pzhang/zh/publication/2008_kslcpupsf1dc/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_kslcpupsf1dc/ Adaptive Stroud stochastic collocation method for flow in random porous media via Karhunen-Loeve expansion https://www.math.pku.edu.cn/pzhang/zh/publication/2008_asscmfrpmke/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_asscmfrpmke/ An efficient numerical method of Landau-Brazovskii model https://www.math.pku.edu.cn/pzhang/zh/publication/2008_enmlm/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_enmlm/ Boundary treatments in non-equilibrium Green's function(NEGF) methods for quantum transport in nano-MOSFETs https://www.math.pku.edu.cn/pzhang/zh/publication/2008_btngfmqtn/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_btngfmqtn/ Crucial properties of the moment closure model FENE-QE https://www.math.pku.edu.cn/pzhang/zh/publication/2008_cpmcmf/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_cpmcmf/ Global existence of weak solutions to the regularized Hookean dumbbell model https://www.math.pku.edu.cn/pzhang/zh/publication/2008_gewsrhdm/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_gewsrhdm/ Numerical simulation of fluid membranes in two-dimensional space https://www.math.pku.edu.cn/pzhang/zh/publication/2008_nsfmts/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_nsfmts/ Numerical simulation of phase separation coupled with crystallization https://www.math.pku.edu.cn/pzhang/zh/publication/2008_nspscc/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_nspscc/ On the New Multiscale Rodlike Model of Polymeric Fluids https://www.math.pku.edu.cn/pzhang/zh/publication/2008_nmrmpf/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_nmrmpf/ Reflection/transmission characteristics of a dis-continuous Galerkin method for Maxwell's equations in dispersive inhomogeneous media https://www.math.pku.edu.cn/pzhang/zh/publication/2008_rcdgmmedim/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_rcdgmmedim/ Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes https://www.math.pku.edu.cn/pzhang/zh/publication/2008_sagsmfmtm/ Tue, 01 Jan 2008 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2008_sagsmfmtm/ A cellular automaton technique for modelling of a binary dendritic growth with convection https://www.math.pku.edu.cn/pzhang/zh/publication/2007_catmbdgc/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_catmbdgc/ A kinetic-hydrodynamic simulation of microstructure of liquid crystal polymers in plane shear flow https://www.math.pku.edu.cn/pzhang/zh/publication/2007_ksmlcppsf/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_ksmlcppsf/ Analysis of the heterogeneous multiscale method for parabolic homogenization problems https://www.math.pku.edu.cn/pzhang/zh/publication/2007_ahmmphp/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_ahmmphp/ Continuum theory of a moving membrane https://www.math.pku.edu.cn/pzhang/zh/publication/2007_ctmm/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_ctmm/ High-order DGTD methods for dispersive Maxwell's equations and modeling of silver nanowire Coupling https://www.math.pku.edu.cn/pzhang/zh/publication/2007_hdmdmemsnc/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_hdmdmemsnc/ Level set calculations for incompressible two-phase flows on a dynamically adaptive grid https://www.math.pku.edu.cn/pzhang/zh/publication/2007_lscitfdag/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_lscitfdag/ Mathematical analysis of multi-scale models of complex fluids https://www.math.pku.edu.cn/pzhang/zh/publication/2007_mammcf/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_mammcf/ Non-equilibrium molecular-dynamics measurement of the Leslie coefficients of a Gay-Berne nematic liquid crystal https://www.math.pku.edu.cn/pzhang/zh/publication/2007_nmmlcgnlc/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_nmmlcgnlc/ Stable dynamic states at the nematic liquid crystals in weak shear flow https://www.math.pku.edu.cn/pzhang/zh/publication/2007_sdsnlcwsf/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_sdsnlcwsf/ Steady states and their stability of homogeneous rigid extended nematic polymers under imposed magnetic fields https://www.math.pku.edu.cn/pzhang/zh/publication/2007_sstshrenpuimf/ Mon, 01 Jan 2007 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2007_sstshrenpuimf/ A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Limit https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mktilcfsdnl/ Sun, 01 Jan 2006 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mktilcfsdnl/ Convergence analysis of BCF method for Hookean dumb-bell model with finite difference scheme https://www.math.pku.edu.cn/pzhang/zh/publication/2006_cabmhdmfds/ Sun, 01 Jan 2006 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2006_cabmhdmfds/ Local existence for the FENE-dumbbell model of polymeric fluids https://www.math.pku.edu.cn/pzhang/zh/publication/2006_lefmpf/ Sun, 01 Jan 2006 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2006_lefmpf/ Model analysis and parameter extraction for MOS capacitor including quantum mechanical effects https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mapemciqme/ Sun, 01 Jan 2006 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mapemciqme/ Modified models of polymer phase separation https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mmpps/ Sun, 01 Jan 2006 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mmpps/ Moving mesh kinetic simulation for sheared rodlike polymers with high potential intensities https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mmkssrphpi/ Sun, 01 Jan 2006 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mmkssrphpi/ Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mmmspsuphm/ Sun, 01 Jan 2006 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2006_mmmspsuphm/ Study of phase transition in homogeneous rigid extended nematics and magnetic suspensions using an order-reduction method https://www.math.pku.edu.cn/pzhang/zh/publication/2006_spthrenmsuom/ Sun, 01 Jan 2006 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2006_spthrenmsuom/ Analysis of the heterogeneous multiscale method for elliptic homogenization problems https://www.math.pku.edu.cn/pzhang/zh/publication/2005_ahmmehp/ Sat, 01 Jan 2005 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2005_ahmmehp/ Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential https://www.math.pku.edu.cn/pzhang/zh/publication/2005_ascssdesmp/ Sat, 01 Jan 2005 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2005_ascssdesmp/ Conservative local discontinuous Galerkin methods for time dependent Schrodinger equation https://www.math.pku.edu.cn/pzhang/zh/publication/2005_cldgmtdse/ Sat, 01 Jan 2005 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2005_cldgmtdse/ Discontinuous Galerkin time domain(DGTD) methods for the study of 2-D waveguide-coupled microring resonators https://www.math.pku.edu.cn/pzhang/zh/publication/2005_dgtdms2wmr/ Sat, 01 Jan 2005 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2005_dgtdms2wmr/ Discontinuous Galerkin time-domain method for GPR simulation in dispersive media https://www.math.pku.edu.cn/pzhang/zh/publication/2005_dgtmgsdm/ Sat, 01 Jan 2005 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2005_dgtmgsdm/ Moving mesh finite element methods for the incompressible Navier-Stokes equations https://www.math.pku.edu.cn/pzhang/zh/publication/2005_mmfemine/ Sat, 01 Jan 2005 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2005_mmfemine/ The structure of equilibrium solutions of one-dimensional Doi equation https://www.math.pku.edu.cn/pzhang/zh/publication/2005_sesode/ Sat, 01 Jan 2005 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2005_sesode/ A new coupled model for alloy solidi cation Science in China series A-Mathematics https://www.math.pku.edu.cn/pzhang/zh/publication/2004_ncmascscsa/ Thu, 01 Jan 2004 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2004_ncmascscsa/ A theoretical and numerical study for the rod-like model of a polymeric fluid https://www.math.pku.edu.cn/pzhang/zh/publication/2004_tnsrmpf/ Thu, 01 Jan 2004 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2004_tnsrmpf/ Analysis of 1+1 dimensional stochastic models of liquid crystal polymer flows https://www.math.pku.edu.cn/pzhang/zh/publication/2004_a1dsmlcpf/ Thu, 01 Jan 2004 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2004_a1dsmlcpf/ Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions https://www.math.pku.edu.cn/pzhang/zh/publication/2004_dgmdlmepbc/ Thu, 01 Jan 2004 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2004_dgmdlmepbc/ Local existence for the dumbbell model of polymeric fluids https://www.math.pku.edu.cn/pzhang/zh/publication/2004_ledmpf/ Thu, 01 Jan 2004 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2004_ledmpf/ Stochastic models of polymeric fluids at small Deborah number https://www.math.pku.edu.cn/pzhang/zh/publication/2004_smpfsdn/ Thu, 01 Jan 2004 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2004_smpfsdn/ Well-posedness for the dumbbell model of polymeric fluids https://www.math.pku.edu.cn/pzhang/zh/publication/2004_wdmpf/ Thu, 01 Jan 2004 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2004_wdmpf/ A kind of semi-roarsing AMG method for two dimensional energy equations with three temperatures https://www.math.pku.edu.cn/pzhang/zh/publication/2003_ksamtdeett/ Wed, 01 Jan 2003 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2003_ksamtdeett/ An adaptive mesh redistribution method for nonlinear hamiltonian-jacobi equations in two- and three dimensions https://www.math.pku.edu.cn/pzhang/zh/publication/2003_amrmnhettd/ Wed, 01 Jan 2003 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2003_amrmnhettd/ Multi-scale Methods for Inverse Modeling in 1-D Mos Capacitor https://www.math.pku.edu.cn/pzhang/zh/publication/2003_mmim1mc/ Wed, 01 Jan 2003 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2003_mmim1mc/ A Moving Mesh Finite Element Algorithm for Sin-gular Problems for Two and Three Space Dimensions https://www.math.pku.edu.cn/pzhang/zh/publication/2002_mmfeaspttsd/ Tue, 01 Jan 2002 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2002_mmfeaspttsd/ Convergence of a Boundary Integral Method for 3-D Water Waves https://www.math.pku.edu.cn/pzhang/zh/publication/2002_cbim3ww/ Tue, 01 Jan 2002 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2002_cbim3ww/ Convergence of a stochastic method for the modeling of polymeric fluids https://www.math.pku.edu.cn/pzhang/zh/publication/2002_csmmpf/ Tue, 01 Jan 2002 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2002_csmmpf/ Kinetic Theories for Flows of Nonhomogeneous Rodlike Liquid Crystalline Polymers with a Nonlocal Intermolecular Potential https://www.math.pku.edu.cn/pzhang/zh/publication/2002_ktfnrlcpnip/ Tue, 01 Jan 2002 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2002_ktfnrlcpnip/ Numerical Studies of 2D Free Surface Waves with Fixed Bottom https://www.math.pku.edu.cn/pzhang/zh/publication/2002_ns2fswfb/ Tue, 01 Jan 2002 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2002_ns2fswfb/ Singularity Formulation in Three-dimensional Vortex Sheets https://www.math.pku.edu.cn/pzhang/zh/publication/2002_sftvs/ Tue, 01 Jan 2002 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2002_sftvs/ Stability of Boundary Integral Method for Water Wave https://www.math.pku.edu.cn/pzhang/zh/publication/2002_sbimww/ Tue, 01 Jan 2002 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2002_sbimww/ A Mathematical Model of Soil Moisture Spatial Distribution on the Hill Slopes of the Loess Plateau https://www.math.pku.edu.cn/pzhang/zh/publication/2001_mmsmsdhslp/ Mon, 01 Jan 2001 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2001_mmsmsdhslp/ A New Stability Technique for Boundary Integral Methods of Water Waves https://www.math.pku.edu.cn/pzhang/zh/publication/2001_nstbimww/ Mon, 01 Jan 2001 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2001_nstbimww/ Analysis of Moving Mesh Methods Based on Geometrical Variables https://www.math.pku.edu.cn/pzhang/zh/publication/2001_ammmbgv/ Mon, 01 Jan 2001 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2001_ammmbgv/ Moving Mesh Methods in Multiple Dimensions Based on Harmonic Maps https://www.math.pku.edu.cn/pzhang/zh/publication/2001_mmmmdbhm/ Mon, 01 Jan 2001 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2001_mmmmdbhm/ Numerical Studies of Shallow Water Waves on Slopping Beach with Arti cial Boundary https://www.math.pku.edu.cn/pzhang/zh/publication/2001_nsswwsbacb/ Mon, 01 Jan 2001 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2001_nsswwsbacb/ Simulating A Double Casting Technique Using Level Set Method https://www.math.pku.edu.cn/pzhang/zh/publication/2001_sdctulsm/ Mon, 01 Jan 2001 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2001_sdctulsm/ Vanishing Curvature Viscosity for Front propagation https://www.math.pku.edu.cn/pzhang/zh/publication/2000_vcvfp/ Sat, 01 Jan 2000 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2000_vcvfp/ Wavelet Method for Boundary Integral Equations https://www.math.pku.edu.cn/pzhang/zh/publication/2000_wmbie/ Sat, 01 Jan 2000 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/2000_wmbie/ Growth Rates for the Linearized Motion of 3-D Fluid Interfaces with Surface Tension Far from Equilibrium https://www.math.pku.edu.cn/pzhang/zh/publication/1998_grlm3fistfe/ Thu, 01 Jan 1998 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1998_grlm3fistfe/ Convergence of vortex with boundary element methods https://www.math.pku.edu.cn/pzhang/zh/publication/1997_cvbem/ Wed, 01 Jan 1997 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1997_cvbem/ Optimal L1 Rate of Convergence for Viscosity Method and Monotone Scheme to Piecewise Constant Solution with Shocks https://www.math.pku.edu.cn/pzhang/zh/publication/1997_olrcvmmspcss/ Wed, 01 Jan 1997 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1997_olrcvmmspcss/ Convergence of the point vortex methods for Euler equation on half plane https://www.math.pku.edu.cn/pzhang/zh/publication/1996_cpvmeehp/ Mon, 01 Jan 1996 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1996_cpvmeehp/ Convergence of vortex Methods in a bounded domain Using linear finite elements https://www.math.pku.edu.cn/pzhang/zh/publication/1996_cvmbdulfe/ Mon, 01 Jan 1996 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1996_cvmbdulfe/ Well-posedness for linearizied motion of 3-D water waves far from equilibrium https://www.math.pku.edu.cn/pzhang/zh/publication/1996_wlm3wwfe/ Mon, 01 Jan 1996 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1996_wlm3wwfe/ Computation of wavelet function https://www.math.pku.edu.cn/pzhang/zh/publication/1995_cwf/ Sun, 01 Jan 1995 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1995_cwf/ Convergence of variable-elliptic-vortex method for Euler equations https://www.math.pku.edu.cn/pzhang/zh/publication/1995_cvmee/ Sun, 01 Jan 1995 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1995_cvmee/ Convergence of vortex methods for Exterior problems https://www.math.pku.edu.cn/pzhang/zh/publication/1994_cvmep/ Sat, 01 Jan 1994 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1994_cvmep/ Fully discrete convergence estimates for vortex methods in bounded domains https://www.math.pku.edu.cn/pzhang/zh/publication/1994_fdcevmbd/ Sat, 01 Jan 1994 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1994_fdcevmbd/ On vortex methods for initial boundary problems https://www.math.pku.edu.cn/pzhang/zh/publication/1994_vmibp/ Sat, 01 Jan 1994 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1994_vmibp/ A family of viscous splitting schemes for Navier-Stokes equations https://www.math.pku.edu.cn/pzhang/zh/publication/1993_fvssne/ Fri, 01 Jan 1993 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1993_fvssne/ A sharp estimate of simplified viscosity splitting scheme https://www.math.pku.edu.cn/pzhang/zh/publication/1993_sesvss/ Fri, 01 Jan 1993 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1993_sesvss/ A symmetrical viscous splitting schemes for Navier-Stokes equations https://www.math.pku.edu.cn/pzhang/zh/publication/1993_svssne/ Fri, 01 Jan 1993 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1993_svssne/ Exterior problem for the three-Dimensional Euler equation https://www.math.pku.edu.cn/pzhang/zh/publication/1992_eptee/ Wed, 01 Jan 1992 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1992_eptee/ Viscosity splitting with nonzero tangent boundary value https://www.math.pku.edu.cn/pzhang/zh/publication/1992_vsntbv/ Wed, 01 Jan 1992 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1992_vsntbv/ Viscous splitting for the exterior problem of Navier-Stokes equations https://www.math.pku.edu.cn/pzhang/zh/publication/1991_vsepne/ Tue, 01 Jan 1991 00:00:00 +0000 https://www.math.pku.edu.cn/pzhang/zh/publication/1991_vsepne/