A new interface tracking method: The polygonal area mapping method. - Qinghai Zhang; Philip L.-F. Liu (J. Comput. Phys., 2008)

HyPAM: A hybrid continuum-particle model for incompressible free-surface flows. - Qinghai Zhang; Philip L.-F. Liu (J. Comput. Phys., 2009)

Handling solid-fluid interfaces for viscous flows: Explicit jump approximation vs. ghost cell approaches. - Qinghai Zhang; Philip L.-F. Liu (J. Comput. Phys., 2010)

A Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation. - Qinghai Zhang; Hans Johansen; Phillip Colella (SIAM J. Sci. Comput., 2012)

On a Family of Unsplit Advection Algorithms for Volume-of-Fluid Methods. - Qinghai Zhang (SIAM J. Numer. Anal., 2013)

On Donating Regions: Lagrangian Flux through a Fixed Curve. - Qinghai Zhang (SIAM Rev., 2013)

Fourth-Order Interface Tracking in Two Dimensions via an Improved Polygonal Area Mapping Method. - Qinghai Zhang; Aaron L. Fogelson (SIAM J. Sci. Comput., 2014)

GePUP: Generic Projection and Unconstrained PPE for Fourth-Order Solutions of the Incompressible Navier-Stokes Equations with No-Slip Boundary Conditions. - Qinghai Zhang (J. Sci. Comput., 2016)

MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semialgebraic Sets. - Qinghai Zhang; Aaron L. Fogelson (SIAM J. Numer. Anal., 2016)

High-order finite-volume solutions of the steady-state advection-diffusion equation with nonlinear Robin boundary conditions. - Zhi Lin; Qinghai Zhang (J. Comput. Phys., 2017)

HFES: A Height Function Method with Explicit Input and Signed Output for High-Order Estimations of Curvature and unit Vectors of Planar Curves. - Qinghai Zhang (SIAM J. Numer. Anal., 2017)

Fourth- and Higher-order Interface Tracking Via Mapping and Adjusting Regular Semianalytic sets Represented by Cubic Splines. - Qinghai Zhang (SIAM J. Sci. Comput., 2018)

Lagrangian Flux Calculation Through a Fixed Planar Curve for Scalar Conservation Laws. - Qinghai Zhang; Lingyun Ding (SIAM J. Sci. Comput., 2019)

Research on Military Supply Support Application Based on RFID Technology. - Chenggong Zhai; Hongwei Fu; Qinghai Zhang; Xinrong Cao (ICCT, 2020)

Design of Automatic Lung Nodule Detection System Based on Multi-Scene Deep Learning Framework. - Qinghai Zhang; Xiaojing Kong (IEEE Access, 2020)

Boolean algebra of two-dimensional continua with arbitrarily complex topology. - Qinghai Zhang; Zhixuan Li (Math. Comput., 2020)

A high-order fictitious-domain method for the advection-diffusion equation on time-varying domain. - Chuwen Ma; Qinghai Zhang; Weiying Zheng (CoRR, 2021)

Incentive Mechanism for Secure Mobile Edge Computing under Managed Eavesdropping Risk. - Yichao Chen; Kai Zhao; Qinghai Zhang; Heng Zhang (iSCI, 2022)

A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains. - Chuwen Ma; Qinghai Zhang; Weiying Zheng (SIAM J. Numer. Anal., 2022)

GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions. - Yang Li; Xu Wu; Jiatu Yan; Jiang Yang; Qinghai Zhang; Shubo Zhao (CoRR, 2024)

A fourth-order, multigrid cut-cell method for solving Poisson's equation in three-dimensional irregular domains. - Yixiao Qian; Weizhen Li; Yan Tan; Qinghai Zhang (CoRR, 2024)

MetaRuleGPT: Recursive Numerical Reasoning of Language Models Trained with Simple Rules. - Kejie Chen; Lin Wang; Qinghai Zhang; Renjun Xu (CoRR, 2024)

An AI-Aided Algorithm for Multivariate Polynomial Reconstruction on Cartesian Grids and the PLG Finite Difference Method. - Qinghai Zhang; Yuke Zhu; Zhixuan Li (J. Sci. Comput., 2024)

Spatiotemporal effect driven landslide susceptibility mapping at fine scales: a deep learning model based on multidimensional feature fusion and source data adaptation. - Quan Shi; Xiaoliang Xu; Jianlin Li; Huafeng Deng; Qinghai Zhang; Delin Tan; Yu He (Eng. Appl. Artif. Intell., 2025)

ARMS: Adding and removing markers on splines for high-order general interface tracking under the MARS framework. - Difei Hu; Kaiyi Liang; Linjie Ying; Sen Li; Qinghai Zhang (J. Comput. Phys., 2025)

A fourth-order cut-cell method for solving the two-dimensional advection-diffusion equation with moving boundaries. - Kaiyi Liang; Yuke Zhu; Jiyu Liu; Qinghai Zhang (CoRR, 2025)

A Fast Fourth-Order Cut Cell Method for Solving Elliptic Equations in Two-Dimensional Irregular Domains. - Yuke Zhu; Zhixuan Li; Qinghai Zhang (CoRR, 2025)

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions. - Shubo Zhao; Qinghai Zhang (CoRR, 2025)

Lagrangian Particle Classification and Lagrangian Flux Identities for a Moving Hypersurface. - Lingyun Ding; Shuang Hu; Baiyun Huang; Qinghai Zhang (CoRR, 2025)

Fourth- and higher-order finite element methods for the incompressible Navier-Stokes equations with Dirichlet boundary conditions. - Yang Li; Heyu Wang; Qinghai Zhang (CoRR, 2025)

Fourth- and Higher-order Interface Tracking of Three or More Materials with Arbitrarily Complex Topology and Geometry. - Yan Tan; Yixiao Qian; Zhiqi Li; Qinghai Zhang (CoRR, 2025)

Fourth- and Higher-Order Semi-Lagrangian Finite Volume Methods for the Two-dimensional Advection Equation on Arbitrarily Complex Domains. - Yunxia Sun; Kaiyi Liang; Yuke Zhu; Zhi Lin; Qinghai Zhang (CoRR, 2025)