Liquan Mei

Orcid: 0000-0003-3468-8803

According to our database1, Liquan Mei authored at least 76 papers between 2003 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2025
Energy-conserving SAV-Hermite-Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein-Gordon system in multi-dimensional unbounded domains.
J. Comput. Appl. Math., 2025

2024
An Unconditionally Energy Stable Method for the Anisotropic Phase-Field Crystal Model in Two Dimension.
J. Sci. Comput., July, 2024

An efficient Hermite-Galerkin spectral scheme for three-dimensional incompressible Hall-magnetohydrodynamic system on infinite domain.
J. Comput. Phys., February, 2024

H1-conforming virtual element method for the Laplacian eigenvalue problem in mixed form.
J. Comput. Appl. Math., January, 2024

Asymptotically Compatible Fractional Grönwall Inequality and its Applications.
CoRR, 2024

On high-order schemes for the space-fractional conservative Allen-Cahn equations with local and local-nonlocal operators.
Commun. Nonlinear Sci. Numer. Simul., 2024

A new space-fractional modified phase field crystal equation and its numerical algorithm.
Appl. Math. Lett., 2024

A Surrogate-Assisted Clustering-Based Evolutionary Algorithm for Expensive Optimization.
Proceedings of the IEEE Congress on Evolutionary Computation, 2024

2023
The stability and convergence analysis of finite difference methods for the fractional neutron diffusion equation.
Adv. Comput. Math., October, 2023

A Posteriori Error Analysis of the Hybrid High-Order Method for the Stokes Problem.
J. Sci. Comput., September, 2023

Second-order linear adaptive time-stepping schemes for the fractional Allen-Cahn equation.
Comput. Math. Appl., September, 2023

A new Lagrange multiplier method for the mass-conserved Allen-Cahn type square phase-field crystal model.
Appl. Math. Lett., July, 2023

Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains.
SIAM J. Sci. Comput., April, 2023

Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model.
Numer. Algorithms, 2023

2022
Dissipation-Preserving Rational Spectral-Galerkin Method for Strongly Damped Nonlinear Wave System Involving Mixed Fractional Laplacians in Unbounded Domains.
J. Sci. Comput., 2022

Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains.
J. Comput. Phys., 2022

A lowest-order free-stabilization Virtual Element Method for the Laplacian eigenvalue problem.
J. Comput. Appl. Math., 2022

The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem.
J. Comput. Appl. Math., 2022

A new Allen-Cahn type two-model phase-field crystal model for fcc ordering and its numerical approximation.
Appl. Math. Lett., 2022

Finite difference scheme on graded meshes to the time-fractional neutron diffusion equation with non-smooth solutions.
Appl. Math. Comput., 2022

2021
IMEX Hermite-Galerkin Spectral Schemes with Adaptive Time Stepping for the Coupled Nonlocal Gordon-Type Systems in Multiple Dimensions.
SIAM J. Sci. Comput., 2021

Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation.
Numer. Algorithms, 2021

A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions.
Numer. Algorithms, 2021

Numerical Approximation of the Two-Component PFC Models for Binary Colloidal Crystals: Efficient, Decoupled, and Second-Order Unconditionally Energy Stable Schemes.
J. Sci. Comput., 2021

Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction.
J. Comput. Appl. Math., 2021

Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model.
J. Comput. Appl. Math., 2021

A C0 virtual element method for the biharmonic eigenvalue problem.
Int. J. Comput. Math., 2021

Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures.
Comput. Phys. Commun., 2021

Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains.
Comput. Math. Appl., 2021

Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates.
Comput. Math. Appl., 2021

Multiple-order rogue waves for the generalized (2+1)-dimensional Kadomtsev-Petviashvili equation.
Appl. Math. Lett., 2021

2020
Semi-implicit Hermite-Galerkin Spectral Method for Distributed-Order Fractional-in-Space Nonlinear Reaction-Diffusion Equations in Multidimensional Unbounded Domains.
J. Sci. Comput., 2020

A hybrid high-order method for a coupled Stokes-Darcy problem on general meshes.
J. Comput. Phys., 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.
Comput. Phys. Commun., 2020

Discontinuous Galerkin methods for the Stokes equations with nonlinear damping term on general meshes.
Comput. Math. Appl., 2020

A linear virtual element method for the Kirchhoff plate buckling problem.
Appl. Math. Lett., 2020

A hybrid high-order method for a class of quasi-Newtonian Stokes equations on general meshes.
Appl. Math. Comput., 2020

Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering.
Appl. Math. Comput., 2020

A mixed virtual element method for the vibration problem of clamped Kirchhoff plate.
Adv. Comput. Math., 2020

2019
A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations.
Int. J. Comput. Math., 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.
Comput. Phys. Commun., 2019

Two-grid MFEAs for the incompressible Stokes type variational inequality with damping.
Comput. Math. Appl., 2019

Stable second-order schemes for the space-fractional Cahn-Hilliard and Allen-Cahn equations.
Comput. Math. Appl., 2019

A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations.
Appl. Math. Lett., 2019

Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation.
Adv. Comput. Math., 2019

2018
Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn-Hilliard-Navier-Stokes-Darcy Phase Field Model.
SIAM J. Sci. Comput., 2018

Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation.
Appl. Math. Lett., 2018

Local momentum-preserving algorithms for the GRLW equation.
Appl. Math. Comput., 2018

Galerkin methods for the Davey-Stewartson equations.
Appl. Math. Comput., 2018

2017
A Mixed-FEM for Navier-Stokes type variational inequality with nonlinear damping term.
Comput. Math. Appl., 2017

An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation.
Comput. Math. Appl., 2017

Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations.
Comput. Math. Appl., 2017

2016
A simple greedy approximation algorithm for the minimum connected k-Center problem.
J. Comb. Optim., 2016

2015
Two-level defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions.
J. Comput. Appl. Math., 2015

A time-splitting Galerkin finite element method for the Davey-Stewartson equations.
Comput. Phys. Commun., 2015

Mixed stabilized finite element methods based on backward difference/Adams-Bashforth scheme for the time-dependent variable density incompressible flows.
Comput. Math. Appl., 2015

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

A finite element variational multiscale method for incompressible flow.
Appl. Math. Comput., 2015

Mixed Galerkin finite element methods for modified regularized long wave equation.
Appl. Math. Comput., 2015

2014
Existence of Weak Solutions for Nonlinear Time-Fractional p-Laplace Problems.
J. Appl. Math., 2014

Iterative penalty methods for the steady Navier-Stokes equations.
Appl. Math. Comput., 2014

2013
A new fractional time-stepping method for variable density incompressible flows.
J. Comput. Phys., 2013

Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation.
Appl. Math. Comput., 2013

2012
Numerical solutions of RLW equation using Galerkin method with extrapolation techniques.
Comput. Phys. Commun., 2012

Explicit multistep method for the numerical solution of RLW equation.
Appl. Math. Comput., 2012

2011
The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations.
Appl. Math. Comput., 2011

2010
Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations.
J. Sci. Comput., 2010

The coupling method of solution path and simulated annealing for similarity analysis of structural acoustic-vibration systems.
Proceedings of the Sixth International Conference on Natural Computation, 2010

2009
Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence.
Appl. Math. Comput., 2009

2008
Data analysis for parallel car-crash simulation results and model optimization.
Simul. Model. Pract. Theory, 2008

A New Weighted Support Vector Machine for Regression and Its Parameters Optimization.
Proceedings of the Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence, 2008

Multivariate Option Pricing Using Quasi-interpolation Based on Radial Basis Functions.
Proceedings of the Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues, 2008

2007
An efficient algorithm for solving Troesch's problem.
Appl. Math. Comput., 2007

2006
Multigrid algorithms for solving multigroup neutron transport equations.
Appl. Math. Comput., 2006

A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition.
Appl. Math. Comput., 2006

2003
Clustering Algorithms for Parallel Car-Crash Simulation Analysis.
Proceedings of the Modeling, 2003


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