A two-grid block-centered finite difference method for nonlinear non-Fickian flow model. - Xiaoli Li 008; Hongxing Rui (Appl. Math. Comput., 2016)

Characteristic block-centered finite difference method for compressible miscible displacement in porous media. - Xiaoli Li 008; Hongxing Rui (Appl. Math. Comput., 2017)

A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative. - Zhengguang Liu; Aijie Cheng; Xiaoli Li 008 (Appl. Math. Comput., 2017)

Characteristic block-centered finite difference method for simulating incompressible wormhole propagation. - Xiaoli Li 008; Hongxing Rui (Comput. Math. Appl., 2017)

Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation. - Xiaoli Li 008; Hongxing Rui (Int. J. Comput. Math., 2017)

A Two-Grid Block-Centered Finite Difference Method for the Nonlinear Time-Fractional Parabolic Equation. - Xiaoli Li 008; Hongxing Rui (J. Sci. Comput., 2017)

Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids. - Hongxing Rui; Xiaoli Li 008 (SIAM J. Numer. Anal., 2017)

A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative. - Zhengguang Liu; Aijie Cheng; Xiaoli Li 008 (Int. J. Comput. Math., 2018)

Block-Centered Finite Difference Method for Simulating Compressible Wormhole Propagation. - Xiaoli Li 008; Hongxing Rui (J. Sci. Comput., 2018)

A Fast Finite Difference Method for a Continuous Static Linear Bond-Based Peridynamics Model of Mechanics. - Zhengguang Liu; Xiaoli Li 008 (J. Sci. Comput., 2018)

Two temporal second-order H 1-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations. - Xiaoli Li 008; Hongxing Rui (Numer. Algorithms, 2018)

Superconvergence of Characteristics Marker and Cell Scheme for the Navier-Stokes Equations on Nonuniform Grids. - Xiaoli Li 008; Hongxing Rui (SIAM J. Numer. Anal., 2018)

Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids. - Xiaoli Li 008; Hongxing Rui (Appl. Math. Comput., 2019)

A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids. - Xiaoli Li 008; Hongxing Rui (Appl. Math. Comput., 2019)

Efficient modified techniques of invariant energy quadratization approach for gradient flows. - Zhengguang Liu; Xiaoli Li 008 (Appl. Math. Lett., 2019)

A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition. - Xiaoli Li 008; Hongxing Rui (Int. J. Comput. Math., 2019)

Energy stability and convergence of SAV block-centered finite difference method for gradient flows. - Xiaoli Li 008; Jie Shen 001; Hongxing Rui (Math. Comput., 2019)

A fully conservative block-centered finite difference method for simulating Darcy-Forchheimer compressible wormhole propagation. - Xiaoli Li 008; Hongxing Rui; Shuangshuang Chen (Numer. Algorithms, 2019)

Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation. - Xiaoli Li 008; Hongxing Rui; Zhengguang Liu (Numer. Algorithms, 2019)

Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. - Xiaoli Li 008; Jie Shen 001 (Adv. Comput. Math., 2020)

Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation. - Xiaoli Li 008; Jie Shen 001 (CoRR, 2020)

On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows. - Xiaoli Li 008; Jie Shen 001 (CoRR, 2020)

A fast high-order compact difference method for the fractal mobile/immobile transport equation. - Zhengguang Liu; Xiaoli Li 008; Xuhao Zhang (Int. J. Comput. Math., 2020)

Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation. - Zhengguang Liu; Xiaoli Li 008 (Numer. Algorithms, 2020)

Error Analysis of the SAV-MAC Scheme for the Navier-Stokes Equations. - Xiaoli Li 008; Jie Shen 001 (SIAM J. Numer. Anal., 2020)

The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing. - Zhengguang Liu; Xiaoli Li 008 (SIAM J. Sci. Comput., 2020)

Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system. - Nan Zheng; Xiaoli Li 008 (Adv. Comput. Math., 2021)

A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system. - Zhengguang Liu; Xiaoli Li 008 (J. Comput. Phys., 2021)

New efficient and unconditionally energy stable schemes for the Cahn-Hilliard-Brinkman system. - Nan Zheng; Xiaoli Li 008 (Appl. Math. Lett., 2022)

Highly efficient exponential scalar auxiliary variable approaches with relaxation (RE-SAV) for gradient flows. - Zhengguang Liu; Xiaoli Li 008 (CoRR, 2022)

A novel Lagrange Multiplier approach with relaxation for gradient flows. - Zhengguang Liu; Xiaoli Li 008 (CoRR, 2022)

Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids. - Xuan Zhao 015; Xiaoli Li 008; Ziyan Li (Int. J. Comput. Math., 2022)

Finite volume element methods for a multi-dimensional fracture model. - Shuangshuang Chen; Xiaoli Li 008 (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)

Superconvergence of MAC Scheme for a Coupled Free Flow-Porous Media System with Heat Transport on Non-uniform Grids. - Xiaoli Li 008; Hongxing Rui (J. Sci. Comput., 2022)

New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis. - Xiaoli Li 008; Jie Shen 001; Zhengguang Liu (Math. Comput., 2022)

Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows. - Zhengguang Liu; Xiaoli Li 008 (Numer. Algorithms, 2022)

Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations. - Xiaoli Li 008; Weilong Wang; Jie Shen 001 (SIAM J. Numer. Anal., 2022)

Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations. - Xiaoli Li 008; Jie Shen 001 (CoRR, 2023)

A novel energy-optimal scalar auxiliary variable (EOP-SAV) approach for gradient flows. - Zhengguang Liu; Yanrong Zhang; Xiaoli Li 008 (CoRR, 2023)

On efficient linear and fully decoupled finite difference method for wormhole propagation with heat transmission process on staggered grids. - Xiaoli Li 008; Ziyan Li; Hongxing Rui (CoRR, 2023)

Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals. - Dianming Hou; Xiaoli Li 008; Zhonghua Qiao; Nan Zheng (CoRR, 2023)

An enhanced and highly efficient semi-implicit combined Lagrange multiplier approach with preserving original energy law for dissipative systems. - Zhengguang Liu; Nan Zheng; Xiaoli Li 008 (CoRR, 2023)

High-efficiency and positivity-preserving stabilized SAV methods for gradient flows. - Zhengguang Liu; Yanrong Zhang; Xiaoli Li 008 (CoRR, 2023)

Global error estimates of high-order fully decoupled schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows. - Xiaoli Li 008; Nan Zheng; Jie Shen 001; Zhengguang Liu (CoRR, 2023)

Error analysis of a fully discrete consistent splitting MAC scheme for time dependent Stokes equations. - Xiaoli Li 008; Jie Shen 001 (J. Comput. Appl. Math., 2023)

High order compact finite difference methods for non-Fickian flows in porous media. - Xuan Zhao 015; Ziyan Li; Xiaoli Li 008 (Comput. Math. Appl., 2023)

Efficient and accurate exponential SAV algorithms with relaxation for dissipative system. - Yanrong Zhang; Xiaoli Li 008 (Commun. Nonlinear Sci. Numer. Simul., 2023)

On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation. - Xiaoli Li 008; Nan Zheng; Jie Shen 001 (CoRR, 2024)

A Novel Energy-Optimized Technique of SAV-Based (EOP-SAV) Approaches for Dissipative Systems. - Zhengguang Liu; Yanrong Zhang; Xiaoli Li 008 (J. Sci. Comput., 2024)

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. - Xinhui Wang; Xu Guo; Xiaoli Li 008 (J. Sci. Comput., 2024)

The linear and efficient structure-preserving method for the thermodynamical consistent model of two-phase flow in porous media with rock compressibility. - Yujing Yan; Xiaoli Li 008 (J. Comput. Appl. Math., 2025)

Energy Stable and Maximum Bound Principle Preserving Schemes for the ( boldsymbol {Q} )-Tensor Flow of Liquid Crystals. - Dianming Hou; Xiaoli Li 008; Zhonghua Qiao; Nan Zheng (SIAM J. Numer. Anal., 2025)

Linear, decoupled and positivity-preserving staggered mesh schemes for general dissipative systems with arbitrary energy distributions. - Zhengguang Liu; Nan Zheng; Xiaoli Li 008 (CoRR, 2025)

Second-Order, Energy-Stable and Maximum Bound Principle Preserving Schemes for Two-Phase Incompressible Flow. - Xiaoli Li 008; Hao Liu; Nan Zheng (J. Sci. Comput., 2025)

On a Class of Higher-Order Fully Decoupled Schemes for the Cahn-Hilliard-Navier-Stokes System. - Xiaoli Li 008; Zhengguang Liu; Jie Shen 001; Nan Zheng (J. Sci. Comput., 2025)