Xiangcheng Zheng

Publication Activity (10 Years)

Years Active: 2019-2024
Publications (10 Years): 62

Top Topics

Diffusion Equation

Numerical Analysis

Top Venues

Appl. Math. Lett.

J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Xiao Ye, Xiangcheng Zheng, Jun Liu, Yue Liu
Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation. Adv. Comput. Math. 50 (2) (2024)
Xiangcheng Zheng, Hong Wang, Wenlin Qiu
Numerical approximation for variable-exponent fractional diffusion-wave equation. CoRR (2024)
Shuo Wang, Xiangcheng Zheng, Ning Du
Finite element method for an optimal control problem governed by a time fractional wave equation. Comput. Math. Appl. 164 (2024)
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
Understanding high-index saddle dynamics via numerical analysis. CoRR (2024)
Xiangcheng Zheng, Yiqun Li, Wenlin Qiu
Local modification of subdiffusion by initial Fickian diffusion: Multiscale modeling, analysis and computation. CoRR (2024)
Wenlin Qiu, Yanping Chen, Xu Xiao, Xiangcheng Zheng
Discrete L1 remainder stability of first and second order schemes for a Volterra integro-differential equation. Math. Comput. Simul. 219 (2024)
Xiangcheng Zheng
Computation and analysis of subdiffusion with variable exponent. CoRR (2024)
Xiangcheng Zheng
An equivalent formulation of Sonine condition. Appl. Math. Lett. 153 (2024)
Yue Luo, Lei Zhang, Xiangcheng Zheng
Accelerated high-index saddle dynamics method for searching high-index saddle points. CoRR (2023)
Yue Luo, Lei Zhang, Pingwen Zhang, Zhiyi Zhang, Xiangcheng Zheng
Semi-implicit method of high-index saddle dynamics and application to construct solution landscape. CoRR (2023)
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics. CoRR (2023)
Hao Tian, Jie Sun, Chenguang Liu, Xiangcheng Zheng
Accelerating convergence of crack propagation simulation in peridynamic models via high-order temporal discretization. Appl. Math. Lett. 145 (2023)
Yiqun Li, Hong Wang, Xiangcheng Zheng
Analysis and Simulation of Optimal Control for a Two-Time-Scale Fractional Advection-Diffusion-Reaction Equation with Space-Time-Dependent Order and Coefficients. Multiscale Model. Simul. 21 (4) (2023)
Jinhong Jia, Hong Wang, Xiangcheng Zheng
A fast algorithm for time-fractional diffusion equation with space-time-dependent variable order. Numer. Algorithms 94 (4) (2023)
Hongfei Fu, Bingyin Zhang, Xiangcheng Zheng
A High-Order Two-Grid Difference Method for Nonlinear Time-Fractional Biharmonic Problems and Its Unconditional α-Robust Error Estimates. J. Sci. Comput. 96 (2) (2023)
Xiangcheng Zheng, Zhiwei Yang, Wuchen Li, Hong Wang
A Time-Fractional Mean-Field Control Modeling Subdiffusive Advective Transport. SIAM J. Sci. Comput. 45 (6) (2023)
Xiangcheng Zheng, V. J. Ervin, Hong Wang
Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations. J. Comput. Appl. Math. 425 (2023)
Xiangcheng Zheng
Analysis of a subdiffusion model with a variable-order fractional calibration term. Appl. Math. Lett. 142 (2023)
Xiangcheng Zheng, Zhiwei Yang, Wuchen Li, Hong Wang
A Time-Fractional Mean-Field Control Modeling Subdiffusive Advective Transport. SIAM J. Sci. Comput. 45 (3) (2023)
Hua Zhao, Hua Zhang, Xiangcheng Zheng
RFE-LinkNet: LinkNet With Receptive Field Enhancement for Road Extraction From High Spatial Resolution Imagery. IEEE Access 11 (2023)
Yiqun Li, Hong Wang, Xiangcheng Zheng
A viscoelastic Timoshenko Beam Model: Regularity and Numerical Approximation. J. Sci. Comput. 95 (2) (2023)
Xiangcheng Zheng, Hong Wang
Discretization and Analysis of an Optimal Control of a Variable-Order Time-Fractional Diffusion Equation with Pointwise Constraints. J. Sci. Comput. 91 (2) (2022)
Huan Liu, Xiangcheng Zheng, Hong Wang, Hongfei Fu
Error Estimate of Finite Element Approximation for Two-Sided Space-Fractional Evolution Equation with Variable Coefficient. J. Sci. Comput. 90 (1) (2022)
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions. CoRR (2022)
Yue Luo, Xiangcheng Zheng, Xiangle Cheng, Lei Zhang
Convergence Analysis of Discrete High-Index Saddle Dynamics. SIAM J. Numer. Anal. 60 (5) (2022)
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape. CoRR (2022)
Xiangcheng Zheng
Numerical approximation for a nonlinear variable-order fractional differential equation via a collocation method. Math. Comput. Simul. 195 (2022)
Xiangcheng Zheng, V. J. Ervin, Hong Wang
Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations. CoRR (2022)
Hua Zhang, Xiangcheng Zheng, Nanshan Zheng, Wenzhong Shi
A Multiscale and Multipath Network With Boundary Enhancement for Building Footprint Extraction From Remotely Sensed Imagery. IEEE J. Sel. Top. Appl. Earth Obs. Remote. Sens. 15 (2022)
Yue Luo, Xiangcheng Zheng, Xiangle Cheng, Lei Zhang
Convergence analysis of discrete high-index saddle dynamics. CoRR (2022)
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
Discretization and index-robust error analysis for constrained high-index saddle dynamics on high-dimensional sphere. CoRR (2022)
Jinhong Jia, Hong Wang, Xiangcheng Zheng
Numerical Analysis of a Fast Finite Element Method for a Hidden-Memory Variable-Order Time-Fractional Diffusion Equation. J. Sci. Comput. 91 (2) (2022)
Bing Yu, Xiangcheng Zheng, Pingwen Zhang, Lei Zhang
Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm. J. Comput. Phys. 468 (2022)
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
Error Estimates for Euler Discretization of High-Index Saddle Dynamics. SIAM J. Numer. Anal. 60 (5) (2022)
Xiangcheng Zheng, Hong Wang
Analysis and discretization of a variable-order fractional wave equation. Commun. Nonlinear Sci. Numer. Simul. 104 (2022)
Jinhong Jia, Hong Wang, Xiangcheng Zheng
A fast numerical scheme for a variably distributed-order time-fractional diffusion equation and its analysis. Comput. Math. Appl. 108 (2022)
Bing Yu, Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm. CoRR (2021)
Xiangcheng Zheng
Logarithmic transformation between (variable-order) Caputo and Caputo-Hadamard fractional problems and applications. Appl. Math. Lett. 121 (2021)
Zhiwei Yang, Xiangcheng Zheng, Hong Wang
An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates. Int. J. Comput. Math. 98 (11) (2021)
Xiangcheng Zheng, Hong Wang, Hongfei Fu
Analysis of a physically-relevant variable-order time-fractional reaction-diffusion model with Mittag-Leffler kernel. Appl. Math. Lett. 112 (2021)
Xiangcheng Zheng
Numerical approximation for a nonlinear variable-order fractional differential equation via an integral equation method. CoRR (2021)
Xiangcheng Zheng, Hong Wang
A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation. SIAM J. Control. Optim. 59 (3) (2021)
Jinhong Jia, Hong Wang, Xiangcheng Zheng
A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis. J. Comput. Appl. Math. 388 (2021)
Huan Liu, Xiangcheng Zheng, Chuanjun Chen, Hong Wang
A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model. Adv. Comput. Math. 47 (3) (2021)
Xiangcheng Zheng, V. J. Ervin, Hong Wang
Optimal Petrov-Galerkin Spectral Approximation Method for the Fractional Diffusion, Advection, Reaction Equation on a Bounded Interval. J. Sci. Comput. 86 (3) (2021)
Xian-Ming Gu, Hai-Wei Sun, Yong-Liang Zhao, Xiangcheng Zheng
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order. Appl. Math. Lett. 120 (2021)
Ping-Fei Dai, Jinhong Jia, Hong Wang, Qingbiao Wu, Xiangcheng Zheng
An efficient positive-definite block-preconditioned finite volume solver for two-sided fractional diffusion equations on composite mesh. Numer. Linear Algebra Appl. 28 (5) (2021)
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
Optimal-order error estimates for Euler discretization of high-index saddle dynamics. CoRR (2021)
Jinhong Jia, Xiangcheng Zheng, Hongfei Fu, Ping-Fei Dai, Hong Wang
A fast method for variable-order space-fractional diffusion equations. Numer. Algorithms 85 (4) (2020)
Ping-Fei Dai, Qingbiao Wu, Hong Wang, Xiangcheng Zheng
An efficient matrix splitting preconditioning technique for two-dimensional unsteady space-fractional diffusion equations. J. Comput. Appl. Math. 371 (2020)
Xiangcheng Zheng, Hong Wang
An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes. SIAM J. Numer. Anal. 58 (1) (2020)
Hong Wang, Xiangcheng Zheng
An optimal-order error estimate of the lowest-order ELLAM-MFEM approximation to miscible displacement in three space dimensions. J. Comput. Appl. Math. 375 (2020)
Xiangcheng Zheng, V. J. Ervin, Hong Wang
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval. CoRR (2020)
Xiangcheng Zheng, Hong Wang
An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation. SIAM J. Numer. Anal. 58 (5) (2020)
Xiangcheng Zheng, Zhongqiang Zhang, Hong Wang
Analysis of a nonlinear variable-order fractional stochastic differential equation. Appl. Math. Lett. 107 (2020)
Chuanjun Chen, Huan Liu, Xiangcheng Zheng, Hong Wang
A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations. Comput. Math. Appl. 79 (9) (2020)
Xiangcheng Zheng, Vincent J. Ervin, Hong Wang
Numerical Approximations for the Variable Coefficient Fractional Diffusion Equations with Non-smooth Data. Comput. Methods Appl. Math. 20 (3) (2020)
Jinhong Jia, Xiangcheng Zheng, Hong Wang
A fast method for variable-order space-fractional diffusion equations. CoRR (2019)
Xiangcheng Zheng, Hong Wang
Wellposedness and regularity of a nonlinear variable-order fractional wave equation. Appl. Math. Lett. 95 (2019)
Hong Wang, Xiangcheng Zheng
Analysis and numerical solution of a nonlinear variable-order fractional differential equation. Adv. Comput. Math. 45 (5) (2019)
Xiangcheng Zheng, Huan Liu, Hong Wang, Hongfei Fu
An Efficient Finite Volume Method for Nonlinear Distributed-Order Space-Fractional Diffusion Equations in Three Space Dimensions. J. Sci. Comput. 80 (3) (2019)
Xiangcheng Zheng, V. J. Ervin, Hong Wang
Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension. Appl. Math. Comput. 361 (2019)