Analysis and numerical solution of a nonlinear variable-order fractional differential equation. - Hong Wang 018; Xiangcheng Zheng (Adv. Comput. Math., 2019)

Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension. - Xiangcheng Zheng; V. J. Ervin; Hong Wang 018 (Appl. Math. Comput., 2019)

Wellposedness and regularity of a nonlinear variable-order fractional wave equation. - Xiangcheng Zheng; Hong Wang 018 (Appl. Math. Lett., 2019)

A fast method for variable-order space-fractional diffusion equations. - Jinhong Jia; Xiangcheng Zheng; Hong Wang 018 (CoRR, 2019)

An Efficient Finite Volume Method for Nonlinear Distributed-Order Space-Fractional Diffusion Equations in Three Space Dimensions. - Xiangcheng Zheng; Huan Liu 011; Hong Wang 018; Hongfei Fu 002 (J. Sci. Comput., 2019)

Analysis of a nonlinear variable-order fractional stochastic differential equation. - Xiangcheng Zheng; Zhongqiang Zhang; Hong Wang 018 (Appl. Math. Lett., 2020)

A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations. - Chuanjun Chen; Huan Liu 011; Xiangcheng Zheng; Hong Wang 018 (Comput. Math. Appl., 2020)

Numerical Approximations for the Variable Coefficient Fractional Diffusion Equations with Non-smooth Data. - Xiangcheng Zheng; Vincent J. Ervin; Hong Wang 018 (Comput. Methods Appl. Math., 2020)

An efficient matrix splitting preconditioning technique for two-dimensional unsteady space-fractional diffusion equations. - Ping-Fei Dai; Qingbiao Wu; Hong Wang 018; Xiangcheng Zheng (J. Comput. Appl. Math., 2020)

An optimal-order error estimate of the lowest-order ELLAM-MFEM approximation to miscible displacement in three space dimensions. - Hong Wang 018; Xiangcheng Zheng (J. Comput. Appl. Math., 2020)

A fast method for variable-order space-fractional diffusion equations. - Jinhong Jia; Xiangcheng Zheng; Hongfei Fu 002; Ping-Fei Dai; Hong Wang 018 (Numer. Algorithms, 2020)

An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes. - Xiangcheng Zheng; Hong Wang 018 (SIAM J. Numer. Anal., 2020)

An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation. - Xiangcheng Zheng; Hong Wang 018 (SIAM J. Numer. Anal., 2020)

A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model. - Huan Liu 011; Xiangcheng Zheng; Chuanjun Chen; Hong Wang 018 (Adv. Comput. Math., 2021)

An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order. - Xian-Ming Gu; Hai-Wei Sun; Yong-Liang Zhao; Xiangcheng Zheng (Appl. Math. Lett., 2021)

Logarithmic transformation between (variable-order) Caputo and Caputo-Hadamard fractional problems and applications. - Xiangcheng Zheng (Appl. Math. Lett., 2021)

Analysis of a physically-relevant variable-order time-fractional reaction-diffusion model with Mittag-Leffler kernel. - Xiangcheng Zheng; Hong Wang 018; Hongfei Fu 002 (Appl. Math. Lett., 2021)

Numerical approximation for a nonlinear variable-order fractional differential equation via an integral equation method. - Xiangcheng Zheng (CoRR, 2021)

Optimal-order error estimates for Euler discretization of high-index saddle dynamics. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2021)

An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates. - Zhiwei Yang 008; Xiangcheng Zheng; Hong Wang 018 (Int. J. Comput. Math., 2021)

A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis. - Jinhong Jia; Hong Wang 018; Xiangcheng Zheng (J. Comput. Appl. Math., 2021)

Optimal Petrov-Galerkin Spectral Approximation Method for the Fractional Diffusion, Advection, Reaction Equation on a Bounded Interval. - Xiangcheng Zheng; V. J. Ervin; Hong Wang 018 (J. Sci. Comput., 2021)

An efficient positive-definite block-preconditioned finite volume solver for two-sided fractional diffusion equations on composite mesh. - Ping-Fei Dai; Jinhong Jia; Hong Wang 018; Qingbiao Wu; Xiangcheng Zheng (Numer. Linear Algebra Appl., 2021)

A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation. - Xiangcheng Zheng; Hong Wang 018 (SIAM J. Control. Optim., 2021)

A fast numerical scheme for a variably distributed-order time-fractional diffusion equation and its analysis. - Jinhong Jia; Hong Wang 018; Xiangcheng Zheng (Comput. Math. Appl., 2022)

Analysis and discretization of a variable-order fractional wave equation. - Xiangcheng Zheng; Hong Wang 018 (Commun. Nonlinear Sci. Numer. Simul., 2022)

Convergence analysis of discrete high-index saddle dynamics. - Yue Luo; Xiangcheng Zheng; Xiangle Cheng; Lei Zhang (CoRR, 2022)

Discretization and index-robust error analysis for constrained high-index saddle dynamics on high-dimensional sphere. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2022)

Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2022)

A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2022)

Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm. - Bing Yu; Xiangcheng Zheng; Pingwen Zhang; Lei Zhang 061 (J. Comput. Phys., 2022)

Numerical Analysis of a Fast Finite Element Method for a Hidden-Memory Variable-Order Time-Fractional Diffusion Equation. - Jinhong Jia; Hong Wang 018; Xiangcheng Zheng (J. Sci. Comput., 2022)

Error Estimate of Finite Element Approximation for Two-Sided Space-Fractional Evolution Equation with Variable Coefficient. - Huan Liu 011; Xiangcheng Zheng; Hong Wang 018; Hongfei Fu 002 (J. Sci. Comput., 2022)

Discretization and Analysis of an Optimal Control of a Variable-Order Time-Fractional Diffusion Equation with Pointwise Constraints. - Xiangcheng Zheng; Hong Wang 018 (J. Sci. Comput., 2022)

Numerical approximation for a nonlinear variable-order fractional differential equation via a collocation method. - Xiangcheng Zheng (Math. Comput. Simul., 2022)

A Multiscale and Multipath Network With Boundary Enhancement for Building Footprint Extraction From Remotely Sensed Imagery. - Hua Zhang 005; Xiangcheng Zheng; Nanshan Zheng; Wenzhong Shi (IEEE J. Sel. Top. Appl. Earth Obs. Remote. Sens., 2022)

Convergence Analysis of Discrete High-Index Saddle Dynamics. - Yue Luo; Xiangcheng Zheng; Xiangle Cheng; Lei Zhang 061 (SIAM J. Numer. Anal., 2022)

Error Estimates for Euler Discretization of High-Index Saddle Dynamics. - Lei Zhang 061; Pingwen Zhang; Xiangcheng Zheng (SIAM J. Numer. Anal., 2022)

RFE-LinkNet: LinkNet With Receptive Field Enhancement for Road Extraction From High Spatial Resolution Imagery. - Hua Zhao; Hua Zhang 005; Xiangcheng Zheng (IEEE Access, 2023)

Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics. - Lei Zhang; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2023)

Semi-implicit method of high-index saddle dynamics and application to construct solution landscape. - Yue Luo; Lei Zhang; Pingwen Zhang; Zhiyi Zhang; Xiangcheng Zheng (CoRR, 2023)

Accelerated high-index saddle dynamics method for searching high-index saddle points. - Yue Luo; Lei Zhang; Xiangcheng Zheng (CoRR, 2023)

A viscoelastic Timoshenko Beam Model: Regularity and Numerical Approximation. - Yiqun Li; Hong Wang 018; Xiangcheng Zheng (J. Sci. Comput., 2023)

Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations. - Xiangcheng Zheng; V. J. Ervin; Hong Wang 018 (J. Comput. Appl. Math., 2023)

A Time-Fractional Mean-Field Control Modeling Subdiffusive Advective Transport. - Xiangcheng Zheng; Zhiwei Yang 008; Wuchen Li; Hong Wang 018 (SIAM J. Sci. Comput., 2023)

Analysis of a subdiffusion model with a variable-order fractional calibration term. - Xiangcheng Zheng (Appl. Math. Lett., 2023)

A High-Order Two-Grid Difference Method for Nonlinear Time-Fractional Biharmonic Problems and Its Unconditional α-Robust Error Estimates. - Hongfei Fu 002; Bingyin Zhang; Xiangcheng Zheng (J. Sci. Comput., 2023)

Accelerating convergence of crack propagation simulation in peridynamic models via high-order temporal discretization. - Hao Tian; Jie Sun; Chenguang Liu; Xiangcheng Zheng (Appl. Math. Lett., 2023)

Analysis and Simulation of Optimal Control for a Two-Time-Scale Fractional Advection-Diffusion-Reaction Equation with Space-Time-Dependent Order and Coefficients. - Yiqun Li; Hong Wang 018; Xiangcheng Zheng (Multiscale Model. Simul., 2023)

A fast algorithm for time-fractional diffusion equation with space-time-dependent variable order. - Jinhong Jia; Hong Wang 018; Xiangcheng Zheng (Numer. Algorithms, 2023)

An equivalent formulation of Sonine condition. - Xiangcheng Zheng (Appl. Math. Lett., 2024)

Finite element method for an optimal control problem governed by a time fractional wave equation. - Shuo Wang; Xiangcheng Zheng; Ning Du (Comput. Math. Appl., 2024)

Understanding high-index saddle dynamics via numerical analysis. - Lei Zhang; Pingwen Zhang; Xiangcheng Zheng (CoRR, 2024)

Computation and analysis of subdiffusion with variable exponent. - Xiangcheng Zheng (CoRR, 2024)

Numerical approximation for variable-exponent fractional diffusion-wave equation. - Xiangcheng Zheng; Hong Wang 018; Wenlin Qiu (CoRR, 2024)

Convergence analysis of time-splitting projection method for nonlinear quasiperiodic Schrödinger equation. - Kai Jiang; Shifeng Li; Xiangcheng Zheng (CoRR, 2024)

Generalizing subdiffusive Black-Scholes model by variable exponent: Model transformation and numerical approximation. - Meihui Zhang; Mengmeng Liu; Wenlin Qiu; Xiangcheng Zheng (CoRR, 2024)

A multiscale Abel kernel and application in viscoelastic problem. - Wenlin Qiu; Tao Guo; Yiqun Li; Xu Guo; Xiangcheng Zheng (CoRR, 2024)

Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping. - Wenlin Qiu; Xiangcheng Zheng; Kassem Mustapha 001 (CoRR, 2024)

Determining superconvergence points for L2-1σ scheme of variable-exponent subdiffusion and error estimate. - Hongying Huang; Huili Zhang; Xiangcheng Zheng (CoRR, 2024)

Discrete L1 remainder stability of first and second order schemes for a Volterra integro-differential equation. - Wenlin Qiu; Yanping Chen 002; Xu Xiao; Xiangcheng Zheng (Math. Comput. Simul., 2024)

Local Modification of Subdiffusion by Initial Fickian Diffusion: Multiscale Modeling, Analysis, and Computation. - Xiangcheng Zheng; Yiqun Li; Wenlin Qiu (Multiscale Model. Simul., 2024)

Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation. - Xiao Ye; Xiangcheng Zheng; Jun Liu; Yue Liu (Adv. Comput. Math., 2024)

A peridynamics approach modeling gas flow in porous media with damaged regions. - Xu Guo; Xiaolin Liao; Xiangcheng Zheng; Suifu Cheng (Appl. Math. Lett., 2025)

Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity. - Yiqun Li; Xiangcheng Zheng (Appl. Math. Lett., 2025)

Construction and analysis for orthonormalized Runge-Kutta schemes of high-index saddle dynamics. - Shuai Miao; Lei Zhang; Pingwen Zhang; Xiangcheng Zheng (Commun. Nonlinear Sci. Numer. Simul., 2025)

Nonsmooth optimization method for determining nonsmooth potential parameter in nonlinear subdiffusion equation. - Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri; Mahmoud A. Zaky; Ahmed S. Hendy; Xiangcheng Zheng; Hong Wang (Commun. Nonlinear Sci. Numer. Simul., 2025)

A fast sequentially-decoupled matrix-decomposed algorithm for variable-order time-fractional optimal control and error estimate. - Jinhong Jia; Hong Wang; Zhaojie Zhou; Xiangcheng Zheng (J. Comput. Appl. Math., 2025)

Addressing Complex Boundary Conditions of Miscible Flow and Transport in Two and Three Dimensions with Application to Optimal Control. - Yiqun Li; Hong Wang 018; Xiangcheng Zheng (SIAM J. Appl. Math., 2025)

Inverse source problem of sub-diffusion of variable exponent. - Zhiyuan Li; Chunlong Sun; Xiangcheng Zheng (CoRR, 2025)

Improved high-index saddle dynamics for finding saddle points and solution landscape. - Hua Su; Haoran Wang; Lei Zhang; Jin Zhao; Xiangcheng Zheng (CoRR, 2025)

Accelerated High-Index Saddle Dynamics Method for Searching High-Index Saddle Points. - Yue Luo; Lei Zhang 061; Xiangcheng Zheng (J. Sci. Comput., 2025)

Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel. - Hao Chen; Mahmoud A. Zaky; Xiangcheng Zheng; Ahmed S. Hendy; Wenlin Qiu (Numer. Algorithms, 2025)

Finite difference method for nonlinear damped viscoelastic Euler-Bernoulli beam model. - Wenlin Qiu; Xiangcheng Zheng; Tao Guo; Xu Xiao (CoRR, 2025)

Numerical analysis for subdiffusion problem with non-positive memory. - Wenlin Qiu; Xiangcheng Zheng (CoRR, 2025)

Long-time error estimate and decay of finite element method to a generalized viscoelastic flow. - Yingwen Guo; Yinnian He; Wenlin Qiu; Xiangcheng Zheng (CoRR, 2025)