Clustering Algorithms for Parallel Car-Crash Simulation Analysis. - Liquan Mei; Clemens-August Thole (HPSC, 2003)

A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. - Jian Li 029; Liquan Mei; Yinnian He (Appl. Math. Comput., 2006)

Multigrid algorithms for solving multigroup neutron transport equations. - Liquan Mei (Appl. Math. Comput., 2006)

An efficient algorithm for solving Troesch's problem. - Xinlong Feng; Liquan Mei; Guoliang He (Appl. Math. Comput., 2007)

Multivariate Option Pricing Using Quasi-interpolation Based on Radial Basis Functions. - Liquan Mei; Peipei Cheng (ICIC (1), 2008)

A New Weighted Support Vector Machine for Regression and Its Parameters Optimization. - Liquan Mei; Shujuan Zhang (ICIC (2), 2008)

Data analysis for parallel car-crash simulation results and model optimization. - Liquan Mei; Clemens-August Thole (Simul. Model. Pract. Theory, 2008)

Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence. - Yu Jiang; Huiming Wei; Xinyu Song 001; Liquan Mei; Guanghui Su; Suizheng Qiu (Appl. Math. Comput., 2009)

The coupling method of solution path and simulated annealing for similarity analysis of structural acoustic-vibration systems. - Liquan Mei; Shujuan Zhang; Zhiliang Zhou (ICNC, 2010)

Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations. - Yinnian He; Liquan Mei; Yueqiang Shang; Juan Cui (J. Sci. Comput., 2010)

The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations. - Shimin Guo; Liquan Mei; Yubin Zhou; Chao Li (Appl. Math. Comput., 2011)

Explicit multistep method for the numerical solution of RLW equation. - Liquan Mei; Yaping Chen (Appl. Math. Comput., 2012)

Numerical solutions of RLW equation using Galerkin method with extrapolation techniques. - Liquan Mei; Yaping Chen (Comput. Phys. Commun., 2012)

Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation. - Shimin Guo; Liquan Mei; Ying Li 028 (Appl. Math. Comput., 2013)

A new fractional time-stepping method for variable density incompressible flows. - Ying Li 028; Liquan Mei; Jiatai Ge; Feng Shi (J. Comput. Phys., 2013)

Iterative penalty methods for the steady Navier-Stokes equations. - Hailong Qiu; Liquan Mei; Yamiao Zhang (Appl. Math. Comput., 2014)

Existence of Weak Solutions for Nonlinear Time-Fractional p-Laplace Problems. - Meilan Qiu; Liquan Mei (J. Appl. Math., 2014)

Mixed Galerkin finite element methods for modified regularized long wave equation. - Yali Gao; Liquan Mei (Appl. Math. Comput., 2015)

A finite element variational multiscale method for incompressible flow. - Yu Jiang; Liquan Mei; Huiming Wei (Appl. Math. Comput., 2015)

The compound (G' G)-expansion method and double non-traveling wave solutions of (2+1) -dimensional nonlinear partial differential equations. - Shimin Guo; Liquan Mei; Yubin Zhou (Comput. Math. Appl., 2015)

Mixed stabilized finite element methods based on backward difference/Adams-Bashforth scheme for the time-dependent variable density incompressible flows. - Ying Li 028; Jian Li; Liquan Mei; Yingping Li (Comput. Math. Appl., 2015)

A time-splitting Galerkin finite element method for the Davey-Stewartson equations. - Yali Gao; Liquan Mei; Rui Li 008 (Comput. Phys. Commun., 2015)

Two-level defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions. - Hailong Qiu; Liquan Mei (J. Comput. Appl. Math., 2015)

A simple greedy approximation algorithm for the minimum connected k-Center problem. - Dongyue Liang; Liquan Mei; James Willson; Wei Wang 032 (J. Comb. Optim., 2016)

Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations. - Yali Gao; Liquan Mei; Rui Li 008 (Comput. Math. Appl., 2017)

An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation. - Shimin Guo; Liquan Mei; Ying Li 028 (Comput. Math. Appl., 2017)

A Mixed-FEM for Navier-Stokes type variational inequality with nonlinear damping term. - Hailong Qiu; Yongchao Zhang 003; Liquan Mei (Comput. Math. Appl., 2017)

Galerkin methods for the Davey-Stewartson equations. - Yali Gao; Liquan Mei; Rui Li 008 (Appl. Math. Comput., 2018)

Local momentum-preserving algorithms for the GRLW equation. - Qi Li 009; Liquan Mei (Appl. Math. Comput., 2018)

Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation. - Shimin Guo; Liquan Mei; Zhengqiang Zhang; Yutao Jiang (Appl. Math. Lett., 2018)

Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn-Hilliard-Navier-Stokes-Darcy Phase Field Model. - Yali Gao; Xiaoming He; Liquan Mei; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2018)

Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation. - Qi Li 009; Liquan Mei; Xiaofeng Yang 003; Yibao Li (Adv. Comput. Math., 2019)

A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations. - Ying Wang 026; Qi Li 009; Liquan Mei (Appl. Math. Lett., 2019)

Stable second-order schemes for the space-fractional Cahn-Hilliard and Allen-Cahn equations. - Linlin Bu; Liquan Mei; Yan Hou (Comput. Math. Appl., 2019)

Two-grid MFEAs for the incompressible Stokes type variational inequality with damping. - Hailong Qiu; Liquan Mei (Comput. Math. Appl., 2019)

An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons. - Shimin Guo; Liquan Mei; Yanren Hou; Zhengqiang Zhang (Comput. Phys. Commun., 2019)

A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations. - Ying Wang 026; Liquan Mei (Int. J. Comput. Math., 2019)

A mixed virtual element method for the vibration problem of clamped Kirchhoff plate. - Jian Meng; Liquan Mei (Adv. Comput. Math., 2020)

Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering. - Jian Meng; Liquan Mei (Appl. Math. Comput., 2020)

A hybrid high-order method for a class of quasi-Newtonian Stokes equations on general meshes. - Yongchao Zhang 003; Liquan Mei (Appl. Math. Comput., 2020)

A linear virtual element method for the Kirchhoff plate buckling problem. - Jian Meng; Liquan Mei (Appl. Math. Lett., 2020)

Discontinuous Galerkin methods for the Stokes equations with nonlinear damping term on general meshes. - Yongchao Zhang 003; Yanxia Qian; Liquan Mei (Comput. Math. Appl., 2020)

A linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: Numerical simulations of Gordon-type solitons. - Shimin Guo; Liquan Mei; Zhengqiang Zhang; Can Li; Mingjun Li; Ying Wang 026 (Comput. Phys. Commun., 2020)

A hybrid high-order method for a coupled Stokes-Darcy problem on general meshes. - Yongchao Zhang 003; Liquan Mei; Rui Li 008 (J. Comput. Phys., 2020)

Semi-implicit Hermite-Galerkin Spectral Method for Distributed-Order Fractional-in-Space Nonlinear Reaction-Diffusion Equations in Multidimensional Unbounded Domains. - Shimin Guo; Liquan Mei; Can Li; Zhengqiang Zhang; Ying Li 028 (J. Sci. Comput., 2020)

Multiple-order rogue waves for the generalized (2+1)-dimensional Kadomtsev-Petviashvili equation. - Lingfei Li; Yingying Xie; Liquan Mei (Appl. Math. Lett., 2021)

Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates. - Yali Gao; Liquan Mei (Comput. Math. Appl., 2021)

Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains. - Shimin Guo; Yaping Chen; Liquan Mei; Yining Song (Comput. Math. Appl., 2021)

Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures. - Qi Li 009; Liquan Mei (Comput. Phys. Commun., 2021)

A C0 virtual element method for the biharmonic eigenvalue problem. - Jian Meng; Liquan Mei (Int. J. Comput. Math., 2021)

Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model. - Qi Li 009; Xi Li; Xiaofeng Yang 003; Liquan Mei (J. Comput. Appl. Math., 2021)

Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction. - Qi Li 009; Liquan Mei; Yibao Li (J. Comput. Appl. Math., 2021)

Numerical Approximation of the Two-Component PFC Models for Binary Colloidal Crystals: Efficient, Decoupled, and Second-Order Unconditionally Energy Stable Schemes. - Qi Li 009; Liquan Mei (J. Sci. Comput., 2021)

A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. - Ying Wang 026; Fawang Liu; Liquan Mei; Vo V. Anh (Numer. Algorithms, 2021)

Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation. - Ying Wang 026; Gang Wang 054; Linlin Bu; Liquan Mei (Numer. Algorithms, 2021)

IMEX Hermite-Galerkin Spectral Schemes with Adaptive Time Stepping for the Coupled Nonlocal Gordon-Type Systems in Multiple Dimensions. - Shimin Guo; Liquan Mei; Can Li; Wenjing Yan; Jinghuai Gao (SIAM J. Sci. Comput., 2021)

Finite difference scheme on graded meshes to the time-fractional neutron diffusion equation with non-smooth solutions. - Yingying Xie; Daopeng Yin; Liquan Mei (Appl. Math. Comput., 2022)

A new Allen-Cahn type two-model phase-field crystal model for fcc ordering and its numerical approximation. - Qi Li 009; Ning Cui; Supei Zheng; Liquan Mei (Appl. Math. Lett., 2022)

The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem. - Jian Meng; Liquan Mei (J. Comput. Appl. Math., 2022)

A lowest-order free-stabilization Virtual Element Method for the Laplacian eigenvalue problem. - Jian Meng; Xue Wang; Linlin Bu; Liquan Mei (J. Comput. Appl. Math., 2022)

Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains. - Shimin Guo; Can Li; Xiaoli Li 008; Liquan Mei (J. Comput. Phys., 2022)

Dissipation-Preserving Rational Spectral-Galerkin Method for Strongly Damped Nonlinear Wave System Involving Mixed Fractional Laplacians in Unbounded Domains. - Shimin Guo; Wenjing Yan; Can Li; Liquan Mei (J. Sci. Comput., 2022)

Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model. - Qi Li 009; Supei Zheng; Liquan Mei (Numer. Algorithms, 2023)

Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains. - Shimin Guo; Liquan Mei; Wenjing Yan; Ying Li 028 (SIAM J. Sci. Comput., 2023)

A new Lagrange multiplier method for the mass-conserved Allen-Cahn type square phase-field crystal model. - Yingying Xie; Qi Li 009; Liquan Mei (Appl. Math. Lett., 2023)

Second-order linear adaptive time-stepping schemes for the fractional Allen-Cahn equation. - Linlin Bu; Jianhua Wu 006; Liquan Mei; Ying Wang 026 (Comput. Math. Appl., 2023)

A Posteriori Error Analysis of the Hybrid High-Order Method for the Stokes Problem. - Yongchao Zhang 003; Liquan Mei; Gang Wang 054 (J. Sci. Comput., 2023)

The stability and convergence analysis of finite difference methods for the fractional neutron diffusion equation. - Daopeng Yin; Yingying Xie; Liquan Mei (Adv. Comput. Math., 2023)

A Surrogate-Assisted Clustering-Based Evolutionary Algorithm for Expensive Optimization. - Chunlong Hai; Jiazhen Wang; Liquan Mei (CEC, 2024)

A new space-fractional modified phase field crystal equation and its numerical algorithm. - Linlin Bu; Rui Li; Liquan Mei; Ying Wang (Appl. Math. Lett., 2024)

On high-order schemes for the space-fractional conservative Allen-Cahn equations with local and local-nonlocal operators. - Linlin Bu; Rui Li; Liquan Mei; Ying Wang (Commun. Nonlinear Sci. Numer. Simul., 2024)

Asymptotically Compatible Fractional Grönwall Inequality and its Applications. - Daopeng Yin; Liquan Mei (CoRR, 2024)

A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System. - Shimin Guo; Liquan Mei; Wenjing Yan (SIAM J. Sci. Comput., 2024)

H1-conforming virtual element method for the Laplacian eigenvalue problem in mixed form. - Jian Meng; Liquan Mei; Mingfa Fei (J. Comput. Appl. Math., 2024)

An efficient Hermite-Galerkin spectral scheme for three-dimensional incompressible Hall-magnetohydrodynamic system on infinite domain. - Shimin Guo; Liquan Mei; Yao-Lin Jiang (J. Comput. Phys., 2024)

An Unconditionally Energy Stable Method for the Anisotropic Phase-Field Crystal Model in Two Dimension. - Yingying Xie; Qi Li 009; Liquan Mei (J. Sci. Comput., 2024)

Energy-decaying spectral scheme with adaptive time steps for diffusive-viscous wave equation on three-dimensional unbounded domain. - Shimin Guo; Wenjing Yan; Liquan Mei (Appl. Math. Lett., 2025)

A variable-step, structure-preserving and linear fully discrete scheme for the two-mode phase-field crystal model with face-centered-cubic ordering. - Yingying Xie; Qi Li 009; Liquan Mei; Weilong Wang (Commun. Nonlinear Sci. Numer. Simul., 2025)

Efficient numerical schemes for the conserved Allen-Cahn phase-field surfactant system based on high order supplementary variable method. - Mengchun Yuan; Qi Li 009; Liquan Mei (Commun. Nonlinear Sci. Numer. Simul., 2025)

Energy- and mass-preserving ESAV/Lagrange multiplier Hermite spectral scheme for coupled nonlinear Klein-Gordon equations in unbounded domains. - Xiaohao Zhang; Liquan Mei; Shimin Guo (Commun. Nonlinear Sci. Numer. Simul., 2025)

Energy-conserving SAV-Hermite-Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein-Gordon system in multi-dimensional unbounded domains. - Xiaohao Zhang; Liquan Mei; Shimin Guo (J. Comput. Appl. Math., 2025)

Adaptive time-stepping Hermite spectral scheme for nonlinear Schrödinger equation with wave operator: Conservation of mass, energy, and momentum. - Shimin Guo; Zhengqiang Zhang; Liquan Mei (J. Comput. Phys., 2025)

IMEX Hermite-Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density. - Shimin Guo; Wenjing Yan; Liquan Mei (SIAM J. Sci. Comput., 2025)

The Stability and Accuracy of The Adams-Bashforth-type Integrator. - Daopeng Yin; Liquan Mei (CoRR, 2025)