Xiaoli Li

65 papers Journal 65
YearRankTypeTitle / Venue / Authors
2026 J jnl
A machine learning method for solving PDEs with a robust initial learning rate based on Lagrange multiplier optimization.
J. Comput. Phys.
Jianghua Liu, Jin Zhao, Xuan Zhao, Xiaoli Li
2026 J jnl
On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation.
J. Comput. Phys.
Xiaoli Li, Jie Shen, Nan Zheng
2025 J jnl
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals.
SIAM J. Numer. Anal.
Dianming Hou, Xiaoli Li, Zhonghua Qiao, Nan Zheng
2025 J jnl
Linear, decoupled and positivity-preserving staggered mesh schemes for general dissipative systems with arbitrary energy distributions.
CoRR
Zhengguang Liu, Nan Zheng, Xiaoli Li
2025 J jnl
On a Class of Higher-Order Fully Decoupled Schemes for the Cahn-Hilliard-Navier-Stokes System.
J. Sci. Comput.
Xiaoli Li, Zhengguang Liu, Jie Shen, Nan Zheng
2025 J jnl
Second-Order, Energy-Stable and Maximum Bound Principle Preserving Schemes for Two-Phase Incompressible Flow.
J. Sci. Comput.
Xiaoli Li, Hao Liu, Nan Zheng
2025 J jnl
The linear and efficient structure-preserving method for the thermodynamical consistent model of two-phase flow in porous media with rock compressibility.
J. Comput. Appl. Math.
Yujing Yan, Xiaoli Li
2024 J jnl
A Class of New Linear, Efficient and High-Order Implicit-Explicit Methods for the Unsteady Navier-Stokes-Darcy Model Based on Nonlinear Lions Interface Condition.
J. Sci. Comput.
Xinhui Wang, Xu Guo, Xiaoli Li
2024 J jnl
A Novel Energy-Optimized Technique of SAV-Based (EOP-SAV) Approaches for Dissipative Systems.
J. Sci. Comput.
Zhengguang Liu, Yanrong Zhang, Xiaoli Li
2024 J jnl
On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation.
CoRR
Xiaoli Li, Nan Zheng, Jie Shen
2023 J jnl
A novel energy-optimal scalar auxiliary variable (EOP-SAV) approach for gradient flows.
CoRR
Zhengguang Liu, Yanrong Zhang, Xiaoli Li
2023 J jnl
An enhanced and highly efficient semi-implicit combined Lagrange multiplier approach with preserving original energy law for dissipative systems.
CoRR
Zhengguang Liu, Nan Zheng, Xiaoli Li
2023 J jnl
Efficient and accurate exponential SAV algorithms with relaxation for dissipative system.
Commun. Nonlinear Sci. Numer. Simul.
Yanrong Zhang, Xiaoli Li
2023 J jnl
Efficient and accurate exponential SAV algorithms with relaxation for dissipative system.
CoRR
Yanrong Zhang, Xiaoli Li
2023 J jnl
Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals.
CoRR
Dianming Hou, Xiaoli Li, Zhonghua Qiao, Nan Zheng
2023 J jnl
Error analysis of a fully discrete consistent splitting MAC scheme for time dependent Stokes equations.
J. Comput. Appl. Math.
Xiaoli Li, Jie Shen
2023 J jnl
Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations.
CoRR
Xiaoli Li, Jie Shen
2023 J jnl
Global error estimates of high-order fully decoupled schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows.
CoRR
Xiaoli Li, Nan Zheng, Jie Shen, Zhengguang Liu
2023 J jnl
High order compact finite difference methods for non-Fickian flows in porous media.
Comput. Math. Appl.
Xuan Zhao, Ziyan Li, Xiaoli Li
2023 J jnl
High-efficiency and positivity-preserving stabilized SAV methods for gradient flows.
CoRR
Zhengguang Liu, Yanrong Zhang, Xiaoli Li
2023 J jnl
On efficient linear and fully decoupled finite difference method for wormhole propagation with heat transmission process on staggered grids.
CoRR
Xiaoli Li, Ziyan Li, Hongxing Rui
2022 J jnl
A novel Lagrange Multiplier approach with relaxation for gradient flows.
CoRR
Zhengguang Liu, Xiaoli Li
2022 J jnl
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.
Shimin Guo, Can Li, Xiaoli Li, Liquan Mei
2022 J jnl
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids.
Int. J. Comput. Math.
Xuan Zhao, Xiaoli Li, Ziyan Li
2022 J jnl
Finite volume element methods for a multi-dimensional fracture model.
J. Comput. Appl. Math.
Shuangshuang Chen, Xiaoli Li
2022 J jnl
Highly efficient exponential scalar auxiliary variable approaches with relaxation (RE-SAV) for gradient flows.
CoRR
Zhengguang Liu, Xiaoli Li
2022 J jnl
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis.
Math. Comput.
Xiaoli Li, Jie Shen, Zhengguang Liu
2022 J jnl
New efficient and unconditionally energy stable schemes for the Cahn-Hilliard-Brinkman system.
Appl. Math. Lett.
Nan Zheng, Xiaoli Li
2022 J jnl
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations.
SIAM J. Numer. Anal.
Xiaoli Li, Weilong Wang, Jie Shen
2022 J jnl
Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows.
Numer. Algorithms
Zhengguang Liu, Xiaoli Li
2022 J jnl
Superconvergence of MAC Scheme for a Coupled Free Flow-Porous Media System with Heat Transport on Non-uniform Grids.
J. Sci. Comput.
Xiaoli Li, Hongxing Rui
2021 J jnl
A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system.
J. Comput. Phys.
Zhengguang Liu, Xiaoli Li
2021 J jnl
Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system.
Adv. Comput. Math.
Nan Zheng, Xiaoli Li
2021 J jnl
Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations.
CoRR
Xiaoli Li, Weilong Wang, Jie Shen
2020 J jnl
A fast high-order compact difference method for the fractal mobile/immobile transport equation.
Int. J. Comput. Math.
Zhengguang Liu, Xiaoli Li, Xuhao Zhang
2020 J jnl
A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system.
CoRR
Zhengguang Liu, Xiaoli Li
2020 J jnl
Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation.
CoRR
Xiaoli Li, Jie Shen
2020 J jnl
Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation.
Numer. Algorithms
Zhengguang Liu, Xiaoli Li
2020 J jnl
Error Analysis of the SAV-MAC Scheme for the Navier-Stokes Equations.
SIAM J. Numer. Anal.
Xiaoli Li, Jie Shen
2020 J jnl
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis.
CoRR
Xiaoli Li, Jie Shen, Zhengguang Liu
2020 J jnl
On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows.
CoRR
Xiaoli Li, Jie Shen
2020 J jnl
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation.
Adv. Comput. Math.
Xiaoli Li, Jie Shen
2020 J jnl
Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows.
CoRR
Zhengguang Liu, Xiaoli Li
2020 J jnl
The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing.
SIAM J. Sci. Comput.
Zhengguang Liu, Xiaoli Li
2019 J jnl
A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids.
Appl. Math. Comput.
Xiaoli Li, Hongxing Rui
2019 J jnl
A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition.
Int. J. Comput. Math.
Xiaoli Li, Hongxing Rui
2019 J jnl
A fully conservative block-centered finite difference method for simulating Darcy-Forchheimer compressible wormhole propagation.
Numer. Algorithms
Xiaoli Li, Hongxing Rui, Shuangshuang Chen
2019 J jnl
Efficient modified techniques of invariant energy quadratization approach for gradient flows.
Appl. Math. Lett.
Zhengguang Liu, Xiaoli Li
2019 J jnl
Energy stability and convergence of SAV block-centered finite difference method for gradient flows.
Math. Comput.
Xiaoli Li, Jie Shen, Hongxing Rui
2019 J jnl
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations.
CoRR
Xiaoli Li, Jie Shen
2019 J jnl
Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids.
Appl. Math. Comput.
Xiaoli Li, Hongxing Rui
2019 J jnl
The exponential scalar auxiliary variable (E-SAV) approach for phase field models and its explicit computing.
CoRR
Zhengguang Liu, Xiaoli Li
2019 J jnl
Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation.
Numer. Algorithms
Xiaoli Li, Hongxing Rui, Zhengguang Liu
2018 J jnl
A Fast Finite Difference Method for a Continuous Static Linear Bond-Based Peridynamics Model of Mechanics.
J. Sci. Comput.
Zhengguang Liu, Xiaoli Li
2018 J jnl
A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative.
Int. J. Comput. Math.
Zhengguang Liu, Aijie Cheng, Xiaoli Li
2018 J jnl
Block-Centered Finite Difference Method for Simulating Compressible Wormhole Propagation.
J. Sci. Comput.
Xiaoli Li, Hongxing Rui
2018 J jnl
Superconvergence of Characteristics Marker and Cell Scheme for the Navier-Stokes Equations on Nonuniform Grids.
SIAM J. Numer. Anal.
Xiaoli Li, Hongxing Rui
2018 J jnl
Two temporal second-order H 1-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations.
Numer. Algorithms
Xiaoli Li, Hongxing Rui
2017 J jnl
A Two-Grid Block-Centered Finite Difference Method for the Nonlinear Time-Fractional Parabolic Equation.
J. Sci. Comput.
Xiaoli Li, Hongxing Rui
2017 J jnl
A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative.
Appl. Math. Comput.
Zhengguang Liu, Aijie Cheng, Xiaoli Li
2017 J jnl
Characteristic block-centered finite difference method for compressible miscible displacement in porous media.
Appl. Math. Comput.
Xiaoli Li, Hongxing Rui
2017 J jnl
Characteristic block-centered finite difference method for simulating incompressible wormhole propagation.
Comput. Math. Appl.
Xiaoli Li, Hongxing Rui
2017 J jnl
Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation.
Int. J. Comput. Math.
Xiaoli Li, Hongxing Rui
2017 J jnl
Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids.
SIAM J. Numer. Anal.
Hongxing Rui, Xiaoli Li
2016 J jnl
A two-grid block-centered finite difference method for nonlinear non-Fickian flow model.
Appl. Math. Comput.
Xiaoli Li, Hongxing Rui