Xinlong Feng
Orcid: 0000-0002-5354-6424
According to our database1,
Xinlong Feng
authored at least 121 papers
between 2006 and 2025.
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Bibliography
2025
On a skin tumor growth modeling by the surface finite element methods combined with the phase field approach.
Commun. Nonlinear Sci. Numer. Simul., 2025
An analysis of second-order sav-filtered time-stepping finite element method for unsteady natural convection problems.
Commun. Nonlinear Sci. Numer. Simul., 2025
A semi-Lagrangian radial basis function partition of unity closest point method for advection-diffusion equations on surfaces.
Comput. Math. Appl., 2025
2024
A second-order L2-1σ difference scheme for the nonlinear time-space fractional Schrödinger equation.
Commun. Nonlinear Sci. Numer. Simul., April, 2024
Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method.
Commun. Nonlinear Sci. Numer. Simul., April, 2024
Ecol. Informatics, March, 2024
Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model.
Comput. Math. Appl., February, 2024
Mathematical modeling and numerical simulation of the N-component Cahn-Hilliard model on evolving surfaces.
J. Comput. Phys., 2024
A second-order Strang splitting scheme for the generalized Allen-Cahn type phase-field crystal model with FCC ordering structure.
Commun. Nonlinear Sci. Numer. Simul., 2024
Fully discrete stabilized mixed finite element method for chemotaxis equations on surfaces.
Commun. Nonlinear Sci. Numer. Simul., 2024
UsIL-6: An unbalanced learning strategy for identifying IL-6 inducing peptides by undersampling technique.
Comput. Methods Programs Biomed., 2024
Error analysis of Crank-Nicolson-Leapfrog scheme for the two-phase Cahn-Hilliard-Navier-Stokes incompressible flows.
Comput. Math. Appl., 2024
Adaptive sampling points based multi-scale residual network for solving partial differential equations.
Comput. Math. Appl., 2024
A difference finite element method based on the conforming P1(x,y)×Q1(z,s) element for the 4D Poisson equation.
Comput. Math. Appl., 2024
Error analysis of vector penalty-projection method with second order accuracy for incompressible magnetohydrodynamic system.
Comput. Math. Appl., 2024
A mixed immersed finite element method for fourth-order interface problems on surfaces.
Comput. Math. Appl., 2024
Error analysis of a fully discrete PFEM for the 2D/3D unsteady incompressible MHD equations.
Appl. Math. Comput., 2024
2023
Modified Characteristic Finite Element Method with Second-Order Spatial Accuracy for Solving Convection-Dominated Problem on Surfaces.
Entropy, December, 2023
J. Comput. Phys., November, 2023
Gauge-Uzawa-based, highly efficient decoupled schemes for the diffuse interface model of two-phase magnetohydrodynamic.
Commun. Nonlinear Sci. Numer. Simul., November, 2023
A high resolution Physics-informed neural networks for high-dimensional convection-diffusion-reaction equations.
Appl. Soft Comput., November, 2023
Sensors, October, 2023
Stabilized finite element approximation of the Swift-Hohenberg model on evolving surfaces.
Commun. Nonlinear Sci. Numer. Simul., October, 2023
Second-order rotational velocity correction projection finite element method for unsteady MHD coupled heat equation.
Comput. Math. Appl., August, 2023
Optimal error estimate of the penalty method for the 2D/3D time-dependent MHD equations.
Numer. Algorithms, July, 2023
Entropy, June, 2023
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems.
SIAM J. Numer. Anal., April, 2023
An Adaptive Time-Stepping Method for the Binary Fluid-Surfactant Phase Field Model on Evolving Surfaces.
J. Sci. Comput., April, 2023
A Second-Order Network Structure Based on Gradient-Enhanced Physics-Informed Neural Networks for Solving Parabolic Partial Differential Equations.
Entropy, April, 2023
Improved Physics-Informed Neural Networks Combined with Small Sample Learning to Solve Two-Dimensional Stefan Problem.
Entropy, April, 2023
Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method.
Comput. Math. Appl., April, 2023
SIAM J. Numer. Anal., February, 2023
A Fully-Decoupled Artificial Compressible Crank-Nicolson-Leapfrog Time Stepping Scheme for the Phase Field Model of Two-Phase Incompressible Flows.
J. Sci. Comput., February, 2023
Physics-informed neural networks combined with polynomial interpolation to solve nonlinear partial differential equations.
Comput. Math. Appl., February, 2023
Comput. Math. Appl., February, 2023
Filtered time-stepping method for incompressible Navier-Stokes equations with variable density.
J. Comput. Phys., 2023
Uniform Error Estimates of the Finite Element Method for the Navier-Stokes Equations in R2 with L2 Initial Data.
Entropy, 2023
Radial Basis Function Finite Difference Method Based on Oseen Iteration for Solving Two-Dimensional Navier-Stokes Equations.
Entropy, 2023
Energy Stability Property of the CPR Method Based on Subcell Second-Order CNNW Limiting in Solving Conservation Laws.
Entropy, 2023
A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential.
Commun. Nonlinear Sci. Numer. Simul., 2023
An efficient dimension splitting p-adaptive method for the binary fluid surfactant phase field model.
Comput. Math. Appl., 2023
An adaptive time-stepping method for the phase-field molecular beam epitaxial growth model on evolving surfaces.
Appl. Math. Comput., 2023
2022
A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems.
Math. Comput. Simul., 2022
Improved Deep Neural Networks with Domain Decomposition in Solving Partial Differential Equations.
J. Sci. Comput., 2022
A Stabilized Difference Finite Element Method for the 3D Steady Incompressible Navier-Stokes Equations.
J. Sci. Comput., 2022
Uniform Stability and Convergence with Respect to (ν , μ , s, 1-σ ) of the Three Iterative Finite Element Solutions for the 3D Steady MHD Equations.
J. Sci. Comput., 2022
Local tangential lifting virtual element method for the diffusion-reaction equation on the non-flat Voronoi discretized surface.
Eng. Comput., 2022
Solving the Incompressible Surface Stokes Equation by Standard Velocity-Correction Projection Methods.
Entropy, 2022
Linear Full Decoupling, Velocity Correction Method for Unsteady Thermally Coupled Incompressible Magneto-Hydrodynamic Equations.
Entropy, 2022
A Second-Order Crank-Nicolson Leap-Frog Scheme for the Modified Phase Field Crystal Model with Long-Range Interaction.
Entropy, 2022
Optimal Convergence Analysis of Two-Level Nonconforming Finite Element Iterative Methods for 2D/3D MHD Equations.
Entropy, 2022
Error Analysis of a PFEM Based on the Euler Semi-Implicit Scheme for the Unsteady MHD Equations.
Entropy, 2022
Entropy, 2022
Recovery-Based Error Estimator for Natural Convection Equations Based on Defect-Correction Methods.
Entropy, 2022
Dynamic Weight Strategy of Physics-Informed Neural Networks for the 2D Navier-Stokes Equations.
Entropy, 2022
Numerical Study on an RBF-FD Tangent Plane Based Method for Convection-Diffusion Equations on Anisotropic Evolving Surfaces.
Entropy, 2022
An accurate and parallel method with post-processing boundedness control for solving the anisotropic phase-field dendritic crystal growth model.
Commun. Nonlinear Sci. Numer. Simul., 2022
A non-intrusive neural network model order reduction algorithm for parameterized parabolic PDEs.
Comput. Math. Appl., 2022
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model.
Comput. Math. Appl., 2022
Appl. Math. Comput., 2022
2021
Stabilized Integrating Factor Runge-Kutta Method and Unconditional Preservation of Maximum Bound Principle.
SIAM J. Sci. Comput., 2021
Error Estimate of Unconditionally Stable and Decoupled Linear Positivity-Preserving FEM for the Chemotaxis-Stokes Equations.
SIAM J. Numer. Anal., 2021
Superconvergence in H<sup>1</sup>-norm of a difference finite element method for the heat equation in a 3D spatial domain with almost-uniform mesh.
Numer. Algorithms, 2021
Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation.
J. Sci. Comput., 2021
Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen-Cahn Equation with Nonlocal Constraint.
J. Sci. Comput., 2021
The local tangential lifting method for moving interface problems on surfaces with applications.
J. Comput. Phys., 2021
Numerical simulations for the predator-prey model on surfaces with lumped mass method.
Eng. Comput., 2021
The cell-centered positivity-preserving finite volume scheme for 3D anisotropic diffusion problems on distorted meshes.
Comput. Phys. Commun., 2021
Variational multiscale virtual element method for the convection-dominated diffusion problem.
Appl. Math. Lett., 2021
Fourth order compact FD methods for convection diffusion equations with variable coefficients.
Appl. Math. Lett., 2021
2020
On Two-Level Oseen Penalty Iteration Methods for the 2D/3D Stationary Incompressible Magnetohydronamics.
J. Sci. Comput., 2020
Crank-Nicolson Leap-Frog Time Stepping Decoupled Scheme for the Fluid-Fluid Interaction Problems.
J. Sci. Comput., 2020
Eng. Comput., 2020
A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces.
Comput. Phys. Commun., 2020
Divergence-free radial kernel for surface Stokes equations based on the surface Helmholtz decomposition.
Comput. Phys. Commun., 2020
A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces.
Comput. Math. Appl., 2020
A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes.
Appl. Math. Lett., 2020
An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation.
Appl. Math. Comput., 2020
An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes.
Appl. Math. Comput., 2020
2019
Investigations on several high-order ADI methods for time-space fractional diffusion equation.
Numer. Algorithms, 2019
Optimal Error Estimates of Penalty Based Iterative Methods for Steady Incompressible Magnetohydrodynamics Equations with Different Viscosities.
J. Sci. Comput., 2019
Ensemble Time-Stepping Algorithm for the Convection-Diffusion Equation with Random Diffusivity.
J. Sci. Comput., 2019
Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method.
Comput. Math. Appl., 2019
A compact integrated RBF method for time fractional convection-diffusion-reaction equations.
Comput. Math. Appl., 2019
2018
A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations.
Numer. Algorithms, 2018
H<sup>1</sup>-Superconvergence of a difference finite element method based on the P<sub>1</sub>-P<sub>1</sub>-conforming element on non-uniform meshes for the 3D Poisson equation.
Math. Comput., 2018
A lifted local Galerkin method for solving the reaction-diffusion equations on implicit surfaces.
Comput. Phys. Commun., 2018
The lumped mass finite element method for surface parabolic problems: Error estimates and maximum principle.
Comput. Math. Appl., 2018
2017
Two-Level Penalty Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics Equations.
J. Sci. Comput., 2017
Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density.
J. Comput. Phys., 2017
Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations.
Appl. Math. Comput., 2017
An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations.
Appl. Math. Comput., 2017
2016
Recovery-Based Error Estimator for Stabilized Finite Element Method for the Stationary Navier-Stokes Problem.
SIAM J. Sci. Comput., 2016
Appl. Math. Lett., 2016
2015
Long Time Numerical Simulations for Phase-Field Problems Using p-Adaptive Spectral Deferred Correction Methods.
SIAM J. Sci. Comput., 2015
$$H^2$$ H 2 -Stability of the First Order Fully Discrete Schemes for the Time-Dependent Navier-Stokes Equations.
J. Sci. Comput., 2015
An adaptive local grid refinement method for 2D diffusion equation with variable coefficients based on block-centered finite differences.
Appl. Math. Comput., 2015
Adv. Comput. Math., 2015
2014
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation.
J. Comput. Phys., 2014
A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations.
Int. J. Comput. Math., 2014
Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method.
Comput. Phys. Commun., 2014
A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation.
Appl. Math. Comput., 2014
2013
A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation.
J. Sci. Comput., 2013
Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping.
J. Appl. Math., 2013
Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme.
Appl. Math. Comput., 2013
2012
P 1-Nonconforming Quadrilateral Finite Volume Methods for the Semilinear Elliptic Equations.
J. Sci. Comput., 2012
Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem.
Comput. Math. Appl., 2012
2011
Math. Comput. Model., 2011
Locally stabilized p<sub>1</sub>-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations.
J. Comput. Appl. Math., 2011
On error estimates of the fully discrete penalty method for the viscoelastic flow problem.
Int. J. Comput. Math., 2011
Int. J. Comput. Math., 2011
Comput. Math. Appl., 2011
2009
Application of modified homotopy perturbation method for solving the augmented systems.
J. Comput. Appl. Math., 2009
2008
Math. Comput. Simul., 2008
The semi-discrete streamline diffusion finite element method for time-dependented convection-diffusion problems.
Appl. Math. Comput., 2008
2007
Appl. Math. Comput., 2007
2006
Appl. Math. Comput., 2006