Liquan Mei
Orcid: 0000-0003-3468-8803
According to our database1,
Liquan Mei
authored at least 70 papers
between 2003 and 2024.
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Bibliography
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
2023
The stability and convergence analysis of finite difference methods for the fractional neutron diffusion equation.
Adv. Comput. Math., October, 2023
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
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
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
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
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
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
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
Comput. Math. Appl., 2017
2016
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
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
Appl. Math. Comput., 2015
Appl. Math. Comput., 2015
2014
J. Appl. Math., 2014
Appl. Math. Comput., 2014
2013
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
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
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
2006
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
Proceedings of the Modeling, 2003