Jiwei Zhang

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 45

Top Topics

Error Estimates

Numerical Solution

Top Venues

J. Sci. Comput.

J. Comput. Appl. Math.

SIAM J. Sci. Comput.

Publications

Jihong Wang, Yana Di, Jerry Zhijian Yang, Jiwei Zhang
A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model. Comput. Math. Appl. 158 (2024)
Yana Di, Wenlong He, Jiwei Zhang
A locking-free numerical method for the quasi-static linear thermo-poroelasticity model. J. Comput. Appl. Math. 451 (2024)
Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
Do we need decay-preserving error estimate for solving parabolic equations with initial singularity? CoRR (2024)
Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
α-robust error estimates of general non-uniform time-step numerical schemes for reaction-subdiffusion problems. CoRR (2023)
Haixia Dong, Zhongshu Zhao, Shuwang Li, Wenjun Ying, Jiwei Zhang
Second Order Convergence of a Modified MAC Scheme for Stokes Interface Problems. J. Sci. Comput. 96 (1) (2023)
Yu Du, Jiwei Zhang
Numerical solutions for nonlocal wave equations by perfectly matched layers II: The two-dimensional case. J. Comput. Phys. 488 (2023)
Gengjian Chen, Yuheng Ma, Jiwei Zhang
High performance implementation of 3D FEM for nonlocal Poisson problem with different ball approximation strategies. CoRR (2023)
Haixia Dong, Zhongshu Zhao, Shuwang Li, Wenjun Ying, Jiwei Zhang
Second order convergence of a modified MAC scheme for Stokes interface problems. CoRR (2023)
Gang Pang, Songsong Ji, Jiwei Zhang
Accurate Absorbing Boundary Conditions for the Two-Dimensional Nonlocal Schrödinger Equations. SIAM J. Sci. Comput. 45 (4) (2023)
Xu Guo, Shidong Jiang, Yunfeng Xiong, Jiwei Zhang
Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation. CoRR (2023)
Nan Liu, Yanping Chen, Jiwei Zhang, Yanmin Zhao
scheme for nonlinear subdiffusion equations. Numer. Algorithms 92 (3) (2023)
Jihong Wang, Jerry Zhijian Yang, Jiwei Zhang
Stability and convergence analysis of high-order numerical schemes with DtN-type absorbing boundary conditions for nonlocal wave equations. CoRR (2022)
Jihong Wang, Jiwei Zhang, Chunxiong Zheng
Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions. Math. Comput. 91 (334) (2022)
Chengchao Zhao, Nan Liu, Yuheng Ma, Jiwei Zhang
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations. CoRR (2022)
Yana Di, Yifan Wei, Jiwei Zhang, Chengchao Zhao
Sharp Error Estimate of an Implicit BDF2 Scheme with Variable Time Steps for the Phase Field Crystal Model. J. Sci. Comput. 92 (2) (2022)
Chengchao Zhao, Ruoyu Yang, Yana Di, Jiwei Zhang
Sharp error estimate of variable time-step IMEX BDF2 scheme for parabolic integro-differential equations with initial singularity arising in finance. CoRR (2022)
Yu Du, Jiwei Zhang
Perfectly matched layers for nonlocal Helmholtz equations II: Multi-dimensional cases. J. Comput. Phys. 464 (2022)
Yifan Wei, Jiwei Zhang, Chengchao Zhao, Yanmin Zhao
A unconditionally energy dissipative, adaptive IMEX BDF2 scheme and its error estimates for Cahn-Hilliard equation on generalized SAV approach. CoRR (2022)
Hu Chen, Yanhua Shi, Jiwei Zhang, Yanmin Zhao
Sharp error estimate of a Grünwald-Letnikov scheme for reaction-subdiffusion equations. Numer. Algorithms 89 (4) (2022)
Jiangxing Wang, Jiwei Zhang, Zhimin Zhang
A CG-DG method for Maxwell's equations in Cole-Cole dispersive media. J. Comput. Appl. Math. 393 (2021)
Hongyu Qin, Fengyan Wu, Jiwei Zhang, Chunlai Mu
A Linearized Compact ADI Scheme for Semilinear Parabolic Problems with Distributed Delay. J. Sci. Comput. 87 (1) (2021)
Yuheng Ma, Zhi-Qin John Xu, Jiwei Zhang
Frequency Principle in Deep Learning Beyond Gradient-descent-based Training. CoRR (2021)
Jincheng Ren, Hong-lin Liao, Jiwei Zhang, Zhimin Zhang
Sharp H1-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems. J. Comput. Appl. Math. 389 (2021)
Dongfang Li, Hongyu Qin, Jiwei Zhang
Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations. CoRR (2021)
Yuxiu Shao, Jiwei Zhang, Louis Tao
Dimensional reduction of emergent spatiotemporal cortical dynamics via a maximum entropy moment closure. PLoS Comput. Biol. 16 (6) (2020)
Chunxiong Zheng, Qiang Du, Xiang Ma, Jiwei Zhang
Stability and Error Analysis for a Second-Order Fast Approximation of the Local and Nonlocal Diffusion Equations on the Real Line. SIAM J. Numer. Anal. 58 (3) (2020)
Weiming Li, Chang Liu, Yajun Zhu, Jiwei Zhang, Kun Xu
Unified gas-kinetic wave-particle methods III: Multiscale photon transport. J. Comput. Phys. 408 (2020)
Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang
Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs. CoRR (2020)
Zhanwen Yang, Jiwei Zhang, Chengchao Zhao
Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations. J. Comput. Appl. Math. 358 (2019)
Jing Gao, Meng Zhao, Ning Du, Xu Guo, Hong Wang, Jiwei Zhang
A finite element method for space-time directional fractional diffusion partial differential equations in the plane and its error analysis. J. Comput. Appl. Math. 362 (2019)
Hong-lin Liao, William McLean, Jiwei Zhang
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems. SIAM J. Numer. Anal. 57 (1) (2019)
Hong-lin Liao, Yonggui Yan, Jiwei Zhang
Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations. J. Sci. Comput. 80 (1) (2019)
Jiwei Zhang, Yuxiu Shao, Aaditya V. Rangan, Louis Tao
A coarse-graining framework for spiking neuronal networks: from strongly-coupled conductance-based integrate-and-fire neurons to augmented systems of ODEs. J. Comput. Neurosci. 46 (2) (2019)
Qiang Du, Houde Han, Jiwei Zhang, Chunxiong Zheng
Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains. SIAM J. Sci. Comput. 40 (3) (2018)
Dongfang Li, Jiwei Zhang, Zhimin Zhang
Unconditionally Optimal Error Estimates of a Linearized Galerkin Method for Nonlinear Time Fractional Reaction-Subdiffusion Equations. J. Sci. Comput. 76 (2) (2018)
Buyang Li, Jiwei Zhang, Chunxiong Zheng
Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions. SIAM J. Sci. Comput. 40 (6) (2018)
Buyang Li, Jiwei Zhang, Chunxiong Zheng
An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions. SIAM J. Numer. Anal. 56 (2) (2018)
Ricardo Delgadillo, Xu Yang, Jiwei Zhang
Frozen Gaussian Approximation-Based Artificial Boundary Conditions for One-Dimensional Nonlinear Schrödinger Equation in the Semiclassical Regime. J. Sci. Comput. 75 (3) (2018)
Hong-Lin Liao, Dongfang Li, Jiwei Zhang
Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations. SIAM J. Numer. Anal. 56 (2) (2018)
Haixia Dong, Wenjun Ying, Jiwei Zhang
A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations. J. Comput. Appl. Math. 344 (2018)
Chunxiong Zheng, Jiashun Hu, Qiang Du, Jiwei Zhang
Numerical Solution of the Nonlocal Diffusion Equation on the Real Line. SIAM J. Sci. Comput. 39 (5) (2017)
Jincheng Ren, Xiaonian Long, Shipeng Mao, Jiwei Zhang
Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation. J. Sci. Comput. 72 (3) (2017)
Dongfang Li, Jilu Wang, Jiwei Zhang
Unconditionally Convergent L1-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations. SIAM J. Sci. Comput. 39 (6) (2017)
Hermann Brunner, Tao Tang, Jiwei Zhang
Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain. J. Sci. Comput. 68 (3) (2016)
Dongfang Li, Jiwei Zhang
Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain. J. Comput. Phys. 322 (2016)
Jiwei Zhang, Douglas Zhou, David Cai, Aaditya V. Rangan
A coarse-grained framework for spiking neuronal networks: between homogeneity and synchrony. J. Comput. Neurosci. 37 (1) (2014)
Jiwei Zhang, Katherine Newhall, Douglas Zhou, Aaditya V. Rangan
Distribution of correlated spiking events in a population-based approach for Integrate-and-Fire networks. J. Comput. Neurosci. 36 (2) (2014)
Hongwei Li, Xiaonan Wu, Jiwei Zhang
Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary. Comput. Phys. Commun. 185 (6) (2014)
Zhi-Zhong Sun, Xiaonan Wu, Jiwei Zhang, Desheng Wang
A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Appl. Math. Comput. 218 (9) (2012)
Jiwei Zhang, Houde Han, Hermann Brunner
Numerical Blow-up of Semilinear Parabolic PDEs on Unbounded Domains in ℝ2. J. Sci. Comput. 49 (3) (2011)
Hermann Brunner, Xiaonan Wu, Jiwei Zhang
Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains. SIAM J. Sci. Comput. 31 (6) (2010)
Xiaonan Wu, Jiwei Zhang
Artificial boundary method for two-dimensional Burgers' equation. Comput. Math. Appl. 56 (1) (2008)