Jiwei Zhang
Orcid: 0000-0002-4493-7431Affiliations:
- Wuhan University, School of Mathematics and Statistics, China
- Beijing Computational Science Research Center, Beijing, China
- New York University, Courant Institute of Mathematical Sciences, NY, USA
- Hong Kong Baptist University, Kowloon, Hong Kong (PhD 2009)
According to our database1,
Jiwei Zhang
authored at least 62 papers
between 2008 and 2024.
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Bibliography
2024
Do we need decay-preserving error estimate for solving parabolic equations with initial singularity?
CoRR, 2024
2023
Numerical solutions for nonlocal wave equations by perfectly matched layers II: The two-dimensional case.
J. Comput. Phys., September, 2023
Accurate Absorbing Boundary Conditions for the Two-Dimensional Nonlocal Schrödinger Equations.
SIAM J. Sci. Comput., August, 2023
J. Sci. Comput., July, 2023
Unconditionally optimal H<sup>1</sup>-error estimate of a fast nonuniform L2-1<sub>σ</sub> scheme for nonlinear subdiffusion equations.
Numer. Algorithms, March, 2023
Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation.
CoRR, 2023
α-robust error estimates of general non-uniform time-step numerical schemes for reaction-subdiffusion problems.
CoRR, 2023
Fully Conservative Difference Schemes for the Rotation-Two-Component Camassa-Holm System with Smooth/Nonsmooth Initial Data.
CoRR, 2023
High performance implementation of 3D FEM for nonlocal Poisson problem with different ball approximation strategies.
CoRR, 2023
2022
Sharp error estimate of a Grünwald-Letnikov scheme for reaction-subdiffusion equations.
Numer. Algorithms, 2022
Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions.
Math. Comput., 2022
Sharp Error Estimate of an Implicit BDF2 Scheme with Variable Time Steps for the Phase Field Crystal Model.
J. Sci. Comput., 2022
Perfectly matched layers for nonlocal Helmholtz equations II: Multi-dimensional cases.
J. Comput. Phys., 2022
Convergence of an energy-conserving scheme for nonlinear space fractional Schrödinger equations with wave operator.
J. Comput. Appl. Math., 2022
Stability and convergence analysis of high-order numerical schemes with DtN-type absorbing boundary conditions for nonlocal wave equations.
CoRR, 2022
A unconditionally energy dissipative, adaptive IMEX BDF2 scheme and its error estimates for Cahn-Hilliard equation on generalized SAV approach.
CoRR, 2022
On perfectly matched layers of nonlocal wave equations in unbounded multi-scale media.
CoRR, 2022
Sharp error estimate of variable time-step IMEX BDF2 scheme for parabolic integro-differential equations with initial singularity arising in finance.
CoRR, 2022
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations.
CoRR, 2022
2021
A Linearized Compact ADI Scheme for Semilinear Parabolic Problems with Distributed Delay.
J. Sci. Comput., 2021
Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation.
J. Comput. Phys., 2021
J. Comput. Appl. Math., 2021
Sharp H1-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems.
J. Comput. Appl. Math., 2021
Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations.
CoRR, 2021
CoRR, 2021
2020
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., 2020
Dimensional reduction of emergent spatiotemporal cortical dynamics via a maximum entropy moment closure.
PLoS Comput. Biol., 2020
J. Comput. Phys., 2020
Perfectly Matched Layers for nonlocal Helmholtz equations Part II: higher dimensions.
CoRR, 2020
Numerical solution of a one-dimensional nonlocal Helmholtz equation by Perfectly Matched Layers.
CoRR, 2020
Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs.
CoRR, 2020
2019
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems.
SIAM J. Numer. Anal., 2019
Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations.
J. Sci. Comput., 2019
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., 2019
Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations.
J. Comput. Appl. Math., 2019
A finite element method for space-time directional fractional diffusion partial differential equations in the plane and its error analysis.
J. Comput. Appl. Math., 2019
An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection.
Comput. Phys. Commun., 2019
2018
Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions.
SIAM J. Sci. Comput., 2018
SIAM J. Sci. Comput., 2018
Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations.
SIAM J. Numer. Anal., 2018
An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions.
SIAM J. Numer. Anal., 2018
Numerical solution to a linearized time fractional KdV equation on unbounded domains.
Math. Comput., 2018
Unconditionally Optimal Error Estimates of a Linearized Galerkin Method for Nonlinear Time Fractional Reaction-Subdiffusion Equations.
J. Sci. Comput., 2018
Frozen Gaussian Approximation-Based Artificial Boundary Conditions for One-Dimensional Nonlinear Schrödinger Equation in the Semiclassical Regime.
J. Sci. Comput., 2018
A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations.
J. Comput. Appl. Math., 2018
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations.
Int. J. Comput. Math., 2018
The Numerical Computation of the Time Fractional Schrödinger Equation on an Unbounded Domain.
Comput. Methods Appl. Math., 2018
2017
SIAM J. Sci. Comput., 2017
Unconditionally Convergent L1-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations.
SIAM J. Sci. Comput., 2017
Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation.
J. Sci. Comput., 2017
2016
Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain.
J. Sci. Comput., 2016
Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain.
J. Comput. Phys., 2016
2015
A reduction for spiking integrate-and-fire network dynamics ranging from homogeneity to synchrony.
J. Comput. Neurosci., 2015
2014
Computation of the Schrödinger Equation in the Semiclassical Regime on an Unbounded Domain.
SIAM J. Numer. Anal., 2014
A coarse-grained framework for spiking neuronal networks: between homogeneity and synchrony.
J. Comput. Neurosci., 2014
Distribution of correlated spiking events in a population-based approach for Integrate-and-Fire networks.
J. Comput. Neurosci., 2014
Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary.
Comput. Phys. Commun., 2014
2012
A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions.
Appl. Math. Comput., 2012
2011
J. Sci. Comput., 2011
2010
Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains.
SIAM J. Sci. Comput., 2010
2008
Comput. Math. Appl., 2008