A new stabilizing technique for boundary integral methods for water waves. - Thomas Y. Hou 001; Pingwen Zhang (Math. Comput., 2001)

Moving Mesh Finite Element Methods for the Incompressible Navier-Stokes Equations. - Yana Di; Ruo Li; Tao Tang 003; Pingwen Zhang (SIAM J. Sci. Comput., 2005)

Discontinuous galerkin time-domain method for GPR simulation in dispersive media. - Tiao Lu; Wei Cai; Pingwen Zhang (IEEE Trans. Geosci. Remote. Sens., 2005)

A Cellular Automaton Technique for the Modeling of Solidification Microstructure in Multi-Component Alloys. - Daming Li; Ruo Li; Pingwen Zhang (IMSCCS (2), 2006)

Convergence Analysis of BCF Method for Hookean Dumbbell Model with Finite Difference Scheme. - Tiejun Li; Pingwen Zhang (Multiscale Model. Simul., 2006)

Moving Mesh Methods for Singular Problems on a Sphere Using Perturbed Harmonic Mappings. - Yana Di; Ruo Li; Tao Tang 003; Pingwen Zhang (SIAM J. Sci. Comput., 2006)

Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid. - Yana Di; Ruo Li; Tao Tang 003; Pingwen Zhang (J. Sci. Comput., 2007)

Analysis of the heterogeneous multiscale method for parabolic homogenization problems. - Pingbing Ming; Pingwen Zhang (Math. Comput., 2007)

Boundary treatments in non-equilibrium Green's function (NEGF) methods for quantum transport in nano-MOSFETs. - Haiyan Jiang; Sihong Shao; Wei Cai; Pingwen Zhang (J. Comput. Phys., 2008)

An efficient numerical method of Landau-Brazovskii model. - Pingwen Zhang; Xinwei Zhang (J. Comput. Phys., 2008)

Second-Order Accurate Godunov Scheme for Multicomponent Flows on Moving Triangular Meshes. - Guoxian Chen; Huazhong Tang; Pingwen Zhang (J. Sci. Comput., 2008)

On the New Multiscale Rodlike Model of Polymeric Fluids. - Hui Zhang 021; Pingwen Zhang (SIAM J. Math. Anal., 2008)

Spectral method for exploring patterns of diblock copolymers. - Kai Jiang; Yunqing Huang; Pingwen Zhang (J. Comput. Phys., 2010)

A numerical method for the study of nucleation of ordered phases. - Ling Lin; Xiuyuan Cheng; Weinan E; An-Chang Shi; Pingwen Zhang (J. Comput. Phys., 2010)

Nucleation Rate Calculation for the Phase Transition of Diblock Copolymers under Stochastic Cahn-Hilliard Dynamics. - Tiejun Li; Pingwen Zhang; Wei Zhang 065 (Multiscale Model. Simul., 2013)

Boundary effects in confined copolymer system and compressible SCFT model. - Weiquan Xu; Pingwen Zhang (J. Comput. Appl. Math., 2014)

Numerical methods for quasicrystals. - Kai Jiang; Pingwen Zhang (J. Comput. Phys., 2014)

On a Molecular Based Q-Tensor Model for Liquid Crystals with Density Variations. - Song Mei; Pingwen Zhang (Multiscale Model. Simul., 2015)

Dynamics of the Nematic-Isotropic Sharp Interface for the Liquid Crystal. - Mingwen Fei; Wei Wang; Pingwen Zhang; Zhifei Zhang (SIAM J. Appl. Math., 2015)

Rigorous Derivation from Landau-de Gennes Theory to Ericksen-Leslie Theory. - Wei Wang; Pingwen Zhang; Zhifei Zhang (SIAM J. Math. Anal., 2015)

A Fast Algorithm for the Moments of Bingham Distribution. - Yixiang Luo; Jie Xu 033; Pingwen Zhang (J. Sci. Comput., 2018)

Approximations on SO(3) by Wigner D-matrix and Applications. - Jie Shen 001; Jie Xu 033; Pingwen Zhang (J. Sci. Comput., 2018)

Boundary Problems for the Fractional and Tempered Fractional Operators. - Weihua Deng; Buyang Li; WenYi Tian; Pingwen Zhang (Multiscale Model. Simul., 2018)

A Tensor Model for Nematic Phases of Bent-Core Molecules Based on Molecular Theory. - Jie Xu 033; Fangfu Ye; Pingwen Zhang (Multiscale Model. Simul., 2018)

Transition pathways between defect patterns in confined nematic liquid crystals. - Yucen Han; Yucheng Hu; Pingwen Zhang; Lei Zhang 061 (J. Comput. Phys., 2019)

High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points. - Jianyuan Yin; Lei Zhang 061; Pingwen Zhang (SIAM J. Sci. Comput., 2019)

Anisotropic Nonlocal Diffusion Operators for Normal and Anomalous Dynamics. - Weihua Deng; Xudong Wang; Pingwen Zhang (Multiscale Model. Simul., 2020)

A Variable-Separation Method for Nonlinear Partial Differential Equations With Random Inputs. - Qiuqi Li; Pingwen Zhang (SIAM J. Sci. Comput., 2020)

Modeling and Computation of Liquid Crystals. - Wei Wang; Lei Zhang 061; Pingwen Zhang (CoRR, 2021)

Solution landscape of Onsager functional identifies non-axisymmetric critical points. - Jianyuan Yin; Lei Zhang 061; Pingwen Zhang (CoRR, 2021)

Optimal-order error estimates for Euler discretization of high-index saddle dynamics. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2021)

Modelling and computation of liquid crystals. - Wei Wang; Lei Zhang 061; Pingwen Zhang (Acta Numer., 2021)

Discretization and index-robust error analysis for constrained high-index saddle dynamics on high-dimensional sphere. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2022)

Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2022)

Numerical Analysis of Computing Quasiperiodic Systems. - Kai Jiang; Shifeng Li; Pingwen Zhang (CoRR, 2022)

A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2022)

Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm. - Bing Yu; Xiangcheng Zheng; Pingwen Zhang; Lei Zhang 061 (J. Comput. Phys., 2022)

Error Estimates for Euler Discretization of High-Index Saddle Dynamics. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (SIAM J. Numer. Anal., 2022)

Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics. - Lei Zhang; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2023)

Semi-implicit method of high-index saddle dynamics and application to construct solution landscape. - Yue Luo; Lei Zhang; Pingwen Zhang; Zhiyi Zhang; Xiangcheng Zheng (CoRR, 2023)

Understanding high-index saddle dynamics via numerical analysis. - Lei Zhang; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2024)

Characteristic Learning for Provable One Step Generation. - Zhao Ding; Chenguang Duan; Yuling Jiao; Ruoxuan Li; Jerry Zhijian Yang; Pingwen Zhang (CoRR, 2024)

DRM Revisited: A Complete Error Analysis. - Yuling Jiao; Ruoxuan Li; Peiying Wu; Jerry Zhijian Yang; Pingwen Zhang (CoRR, 2024)

State-observation augmented diffusion model for nonlinear assimilation. - Zhuoyuan Li 005; Bin Dong 001; Pingwen Zhang (CoRR, 2024)

Nonlinear Assimilation with Score-based Sequential Langevin Sampling. - Zhao Ding; Chenguang Duan; Yuling Jiao; Jerry Zhijian Yang; Cheng Yuan; Pingwen Zhang (CoRR, 2024)

Latent assimilation with implicit neural representations for unknown dynamics. - Zhuoyuan Li 005; Bin Dong 001; Pingwen Zhang (J. Comput. Phys., 2024)

Accurately Recover Global Quasiperiodic Systems by Finite Points. - Kai Jiang; Qi Zhou; Pingwen Zhang (SIAM J. Numer. Anal., 2024)

Numerical Methods and Analysis of Computing Quasiperiodic Systems. - Kai Jiang; Shifeng Li; Pingwen Zhang (SIAM J. Numer. Anal., 2024)

Construction and analysis for orthonormalized Runge-Kutta schemes of high-index saddle dynamics. - Shuai Miao; Lei Zhang; Pingwen Zhang; Xiangcheng Zheng (Commun. Nonlinear Sci. Numer. Simul., 2025)

State-observation augmented diffusion model for nonlinear assimilation with unknown dynamics. - Zhuoyuan Li 005; Bin Dong 001; Pingwen Zhang (J. Comput. Phys., 2025)

On the Approximation of Quasiperiodic Functions with Diophantine Frequencies by Periodic Functions. - Kai Jiang; Shifeng Li; Pingwen Zhang (SIAM J. Math. Anal., 2025)

A Diffuse-Interface Landau-de Gennes Model for Free Boundary Problems in the Theory of Nematic Liquid Crystals. - Dawei Wu; Baoming Shi; Yucen Han; Pingwen Zhang; Apala Majumdar; Lei Zhang 061 (SIAM J. Math. Anal., 2025)

Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems. - Kai Jiang; Xueyang Li; Yao Ma; Juan Zhang; Pingwen Zhang; Qi Zhou (SIAM J. Numer. Anal., 2025)