Artificial boundary method for two-dimensional Burgers' equation. - Xiaonan Wu; Jiwei Zhang 002 (Comput. Math. Appl., 2008)

Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains. - Hermann Brunner; Xiaonan Wu; Jiwei Zhang 002 (SIAM J. Sci. Comput., 2010)

Numerical Blow-up of Semilinear Parabolic PDEs on Unbounded Domains in ℝ2. - Jiwei Zhang 002; Houde Han; Hermann Brunner (J. Sci. Comput., 2011)

A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. - Zhi-Zhong Sun; Xiaonan Wu; Jiwei Zhang 002; Desheng Wang (Appl. Math. Comput., 2012)

Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary. - Hongwei Li 010; Xiaonan Wu; Jiwei Zhang 002 (Comput. Phys. Commun., 2014)

Distribution of correlated spiking events in a population-based approach for Integrate-and-Fire networks. - Jiwei Zhang 002; Katherine Newhall; Douglas Zhou; Aaditya V. Rangan (J. Comput. Neurosci., 2014)

A coarse-grained framework for spiking neuronal networks: between homogeneity and synchrony. - Jiwei Zhang 002; Douglas Zhou; David Cai; Aaditya V. Rangan (J. Comput. Neurosci., 2014)

Computation of the Schrödinger Equation in the Semiclassical Regime on an Unbounded Domain. - Xu Yang 018; Jiwei Zhang 002 (SIAM J. Numer. Anal., 2014)

A reduction for spiking integrate-and-fire network dynamics ranging from homogeneity to synchrony. - Ji Wei Zhang 002; Aaditya V. Rangan (J. Comput. Neurosci., 2015)

Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain. - Dongfang Li; Jiwei Zhang 002 (J. Comput. Phys., 2016)

Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain. - Hermann Brunner; Tao Tang 003; Jiwei Zhang 002 (J. Sci. Comput., 2016)

Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation. - Jincheng Ren; Xiaonian Long; Shipeng Mao; Jiwei Zhang 002 (J. Sci. Comput., 2017)

Unconditionally Convergent L1-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations. - Dongfang Li; Jilu Wang; Jiwei Zhang 002 (SIAM J. Sci. Comput., 2017)

Numerical Solution of the Nonlocal Diffusion Equation on the Real Line. - Chunxiong Zheng; Jiashun Hu; Qiang Du 001; Jiwei Zhang 002 (SIAM J. Sci. Comput., 2017)

The Numerical Computation of the Time Fractional Schrödinger Equation on an Unbounded Domain. - Dan Li; Jiwei Zhang 002; Zhimin Zhang 002 (Comput. Methods Appl. Math., 2018)

On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations. - Xavier Antoine; Qinglin Tang; Jiwei Zhang 002 (Int. J. Comput. Math., 2018)

A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations. - Haixia Dong; Wenjun Ying; Jiwei Zhang 002 (J. Comput. Appl. Math., 2018)

Frozen Gaussian Approximation-Based Artificial Boundary Conditions for One-Dimensional Nonlinear Schrödinger Equation in the Semiclassical Regime. - Ricardo Delgadillo; Xu Yang 018; Jiwei Zhang 002 (J. Sci. Comput., 2018)

Unconditionally Optimal Error Estimates of a Linearized Galerkin Method for Nonlinear Time Fractional Reaction-Subdiffusion Equations. - Dongfang Li; Jiwei Zhang 002; Zhimin Zhang 002 (J. Sci. Comput., 2018)

Numerical solution to a linearized time fractional KdV equation on unbounded domains. - Qian Zhang 050; Jiwei Zhang 002; Shidong Jiang; Zhimin Zhang 002 (Math. Comput., 2018)

An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions. - Buyang Li; Jiwei Zhang 002; Chunxiong Zheng (SIAM J. Numer. Anal., 2018)

Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations. - Hong-Lin Liao; Dongfang Li; Jiwei Zhang 002 (SIAM J. Numer. Anal., 2018)

Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains. - Qiang Du 001; Houde Han; Jiwei Zhang 002; Chunxiong Zheng (SIAM J. Sci. Comput., 2018)

Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions. - Buyang Li; Jiwei Zhang 002; Chunxiong Zheng (SIAM J. Sci. Comput., 2018)

An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection. - Lizhen Chen; Jun Zhang 047; Jia Zhao 004; Waixiang Cao; Hong Wang 018; Jiwei Zhang 002 (Comput. Phys. Commun., 2019)

A finite element method for space-time directional fractional diffusion partial differential equations in the plane and its error analysis. - Jing Gao; Meng Zhao; Ning Du; Xu Guo; Hong Wang 018; Jiwei Zhang 002 (J. Comput. Appl. Math., 2019)

Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations. - Zhanwen Yang; Jiwei Zhang 002; Chengchao Zhao (J. Comput. Appl. Math., 2019)

A coarse-graining framework for spiking neuronal networks: from strongly-coupled conductance-based integrate-and-fire neurons to augmented systems of ODEs. - Jiwei Zhang 002; Yuxiu Shao; Aaditya V. Rangan; Louis Tao (J. Comput. Neurosci., 2019)

Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations. - Hong-lin Liao; Yonggui Yan; Jiwei Zhang 002 (J. Sci. Comput., 2019)

A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems. - Hong-lin Liao; William McLean; Jiwei Zhang 002 (SIAM J. Numer. Anal., 2019)

Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs. - Jihong Wang; Zhi-Qin John Xu; Jiwei Zhang 002; Yaoyu Zhang (CoRR, 2020)

Exact artificial boundary conditions of 1D semi-discretized peridynamics. - Songsong Ji; Gang Pang; Jiwei Zhang 002; Yibo Yang; Paris Perdikaris (CoRR, 2020)

Numerical solution of a one-dimensional nonlocal Helmholtz equation by Perfectly Matched Layers. - Yu Du; Jiwei Zhang 002 (CoRR, 2020)

Perfectly Matched Layers for nonlocal Helmholtz equations Part II: higher dimensions. - Yu Du; Jiwei Zhang 002 (CoRR, 2020)

Unified gas-kinetic wave-particle methods III: Multiscale photon transport. - Weiming Li; Chang Liu 036; Yajun Zhu; Jiwei Zhang 002; Kun Xu 001 (J. Comput. Phys., 2020)

Dimensional reduction of emergent spatiotemporal cortical dynamics via a maximum entropy moment closure. - Yuxiu Shao; Jiwei Zhang 002; Louis Tao (PLoS Comput. Biol., 2020)

Stability and Error Analysis for a Second-Order Fast Approximation of the Local and Nonlocal Diffusion Equations on the Real Line. - Chunxiong Zheng; Qiang Du 001; Xiang Ma; Jiwei Zhang 002 (SIAM J. Numer. Anal., 2020)

Frequency Principle in Deep Learning Beyond Gradient-descent-based Training. - Yuheng Ma 002; Zhi-Qin John Xu; Jiwei Zhang 002 (CoRR, 2021)

Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations. - Dongfang Li; Hongyu Qin; Jiwei Zhang 002 (CoRR, 2021)

Sharp H1-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems. - Jincheng Ren; Hong-lin Liao; Jiwei Zhang 002; Zhimin Zhang 002 (J. Comput. Appl. Math., 2021)

A CG-DG method for Maxwell's equations in Cole-Cole dispersive media. - Jiangxing Wang; Jiwei Zhang 002; Zhimin Zhang 002 (J. Comput. Appl. Math., 2021)

Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation. - Songsong Ji; Gang Pang; Xavier Antoine; Jiwei Zhang 002 (J. Comput. Phys., 2021)

A Linearized Compact ADI Scheme for Semilinear Parabolic Problems with Distributed Delay. - Hongyu Qin; Fengyan Wu; Jiwei Zhang 002; Chunlai Mu (J. Sci. Comput., 2021)

Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations. - Chengchao Zhao; Nan Liu; Yuheng Ma 002; Jiwei Zhang 002 (CoRR, 2022)

Sharp error estimate of variable time-step IMEX BDF2 scheme for parabolic integro-differential equations with initial singularity arising in finance. - Chengchao Zhao; Ruoyu Yang; Yana Di; Jiwei Zhang 002 (CoRR, 2022)

On perfectly matched layers of nonlocal wave equations in unbounded multi-scale media. - Yu Du; Jiwei Zhang 002 (CoRR, 2022)

A unconditionally energy dissipative, adaptive IMEX BDF2 scheme and its error estimates for Cahn-Hilliard equation on generalized SAV approach. - Yifan Wei 002; Jiwei Zhang 002; Chengchao Zhao; Yanmin Zhao (CoRR, 2022)

Stability and convergence analysis of high-order numerical schemes with DtN-type absorbing boundary conditions for nonlocal wave equations. - Jihong Wang; Jerry Zhijian Yang; Jiwei Zhang 002 (CoRR, 2022)

Convergence of an energy-conserving scheme for nonlinear space fractional Schrödinger equations with wave operator. - Xiujun Cheng; Hongyu Qin; Jiwei Zhang 002 (J. Comput. Appl. Math., 2022)

Perfectly matched layers for nonlocal Helmholtz equations II: Multi-dimensional cases. - Yu Du; Jiwei Zhang 002 (J. Comput. Phys., 2022)

Sharp Error Estimate of an Implicit BDF2 Scheme with Variable Time Steps for the Phase Field Crystal Model. - Yana Di; Yifan Wei 002; Jiwei Zhang 002; Chengchao Zhao (J. Sci. Comput., 2022)

Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions. - Jihong Wang; Jiwei Zhang 002; Chunxiong Zheng (Math. Comput., 2022)

Sharp error estimate of a Grünwald-Letnikov scheme for reaction-subdiffusion equations. - Hu Chen 001; Yanhua Shi; Jiwei Zhang 002; Yanmin Zhao (Numer. Algorithms, 2022)

High performance implementation of 3D FEM for nonlocal Poisson problem with different ball approximation strategies. - Gengjian Chen; Yuheng Ma 002; Jiwei Zhang 002 (CoRR, 2023)

Fully Conservative Difference Schemes for the Rotation-Two-Component Camassa-Holm System with Smooth/Nonsmooth Initial Data. - Tong Yan; Jiwei Zhang 002; Qifeng Zhang (CoRR, 2023)

α-robust error estimates of general non-uniform time-step numerical schemes for reaction-subdiffusion problems. - Jiwei Zhang 002; Zhimin Zhang 002; Chengchao Zhao (CoRR, 2023)

Unconditionally optimal H1-error estimate of a fast nonuniform L2-1σ scheme for nonlinear subdiffusion equations. - Nan Liu; Yanping Chen; Jiwei Zhang 002; Yanmin Zhao (Numer. Algorithms, 2023)

Second Order Convergence of a Modified MAC Scheme for Stokes Interface Problems. - Haixia Dong; Zhongshu Zhao; Shuwang Li; Wenjun Ying; Jiwei Zhang 002 (J. Sci. Comput., 2023)

Accurate Absorbing Boundary Conditions for the Two-Dimensional Nonlocal Schrödinger Equations. - Gang Pang; Songsong Ji; Jiwei Zhang 002 (SIAM J. Sci. Comput., 2023)

Numerical solutions for nonlocal wave equations by perfectly matched layers II: The two-dimensional case. - Yu Du; Jiwei Zhang 002 (J. Comput. Phys., 2023)

Analysis of new mixed finite element method for a Barenblatt-Biot poroelastic model. - Wenlong He; Jiwei Zhang 002 (Comput. Math. Appl., 2024)

A locking free numerical method for the poroelasticity-Forchheimer model. - Wenlong He; Jiwei Zhang 002 (Comput. Math. Appl., 2024)

A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model. - Jihong Wang; Yana Di; Jerry Zhijian Yang; Jiwei Zhang 002 (Comput. Math. Appl., 2024)

Do we need decay-preserving error estimate for solving parabolic equations with initial singularity? - Jiwei Zhang 002; Zhimin Zhang 002; Chengchao Zhao (CoRR, 2024)

Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighborhoods. - Qiang Du 001; Hehu Xie; Xiaobo Yin; Jiwei Zhang 002 (CoRR, 2024)

A locking-free numerical method for the quasi-static linear thermo-poroelasticity model. - Yana Di; Wenlong He; Jiwei Zhang 002 (J. Comput. Appl. Math., 2024)

Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation. - Xu Guo; Shidong Jiang; Yunfeng Xiong; Jiwei Zhang 002 (J. Comput. Phys., 2024)

Superconvergnce analysis of an energy-stable implicit scheme with variable time steps and anisotropic spatial nonconforming finite elements for the nonlinear Sobolev equations. - Lifang Pei; Ruixue Li; Jiwei Zhang 002; Yanmin Zhao (Comput. Math. Appl., 2025)

L2M-GCN: A new framework for learning robust GCN against structural attacks. - Haoran Chen; Xianchen Zhou; Jiwei Zhang 002; Hongxia Wang (Neurocomputing, 2025)

Optimal error estimations and superconvergence analysis of anisotropic FEMs with variable time steps for reaction-diffusion equations. - Lifang Pei; Chao Xu; Jiwei Zhang 002; Yanmin Zhao (J. Comput. Appl. Math., 2025)

Stabilized multiple-relaxation implicit-explicit Runge-Kutta methods for nonlinear Gross-Pitaevskii equations. - Dongfang Li; Xiaoxi Li; Jiwei Zhang 002; Zhimin Zhang 002 (J. Comput. Phys., 2025)

A discrete Perfectly Matched Layer for peridynamic scalar waves in two-dimensional viscous media. - Yu Du; Yonglin Li; Jiwei Zhang 002 (CoRR, 2025)

A new approach to overcome the locking phenomenon in quasi-static poro-visco-elastic model. - Wenlong He; Jiwei Zhang 002 (J. Comput. Appl. Math., 2026)