Hong Wang

Orcid: 0000-0002-1668-7332

Affiliations:
  • University of South Carolina, Department of Mathematics, USA


According to our database1, Hong Wang authored at least 89 papers between 2006 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
A fast algorithm for time-fractional diffusion equation with space-time-dependent variable order.
Numer. Algorithms, December, 2023

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., December, 2023

A Time-Fractional Mean-Field Control Modeling Subdiffusive Advective Transport.
SIAM J. Sci. Comput., June, 2023

Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations.
J. Comput. Appl. Math., June, 2023

A viscoelastic Timoshenko Beam Model: Regularity and Numerical Approximation.
J. Sci. Comput., May, 2023

A finite element approximation to a viscoelastic Euler-Bernoulli beam with internal damping.
Math. Comput. Simul., 2023

Analysis of asymptotic behavior of the Caputo-Fabrizio time-fractional diffusion equation.
Appl. Math. Lett., 2023

2022
Discretization and Analysis of an Optimal Control of a Variable-Order Time-Fractional Diffusion Equation with Pointwise Constraints.
J. Sci. Comput., 2022

Error Estimate of Finite Element Approximation for Two-Sided Space-Fractional Evolution Equation with Variable Coefficient.
J. Sci. Comput., 2022

Numerical Analysis of a Fast Finite Element Method for a Hidden-Memory Variable-Order Time-Fractional Diffusion Equation.
J. Sci. Comput., 2022

Analysis and discretization of a variable-order fractional wave equation.
Commun. Nonlinear Sci. Numer. Simul., 2022

A fast numerical scheme for a variably distributed-order time-fractional diffusion equation and its analysis.
Comput. Math. Appl., 2022

Analysis of a hidden memory variably distributed-order space-fractional diffusion equation.
Appl. Math. Lett., 2022

2021
A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation.
SIAM J. Control. Optim., 2021

An efficient positive-definite block-preconditioned finite volume solver for two-sided fractional diffusion equations on composite mesh.
Numer. Linear Algebra Appl., 2021

Optimal Petrov-Galerkin Spectral Approximation Method for the Fractional Diffusion, Advection, Reaction Equation on a Bounded Interval.
J. Sci. Comput., 2021

A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis.
J. Comput. Appl. Math., 2021

An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates.
Int. J. Comput. Math., 2021

Analysis of a physically-relevant variable-order time-fractional reaction-diffusion model with Mittag-Leffler kernel.
Appl. Math. Lett., 2021

Solvability and approximation of two-side conservative fractional diffusion problems with variable-Coefficient based on least-Squares.
Appl. Math. Comput., 2021

A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model.
Adv. Comput. Math., 2021

2020
An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation.
SIAM J. Numer. Anal., 2020

An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes.
SIAM J. Numer. Anal., 2020

A fast method for variable-order space-fractional diffusion equations.
Numer. Algorithms, 2020

A Parareal Finite Volume Method for Variable-Order Time-Fractional Diffusion Equations.
J. Sci. Comput., 2020

Fast upwind and Eulerian-Lagrangian control volume schemes for time-dependent directional space-fractional advection-dispersion equations.
J. Comput. Phys., 2020

An optimal-order error estimate of the lowest-order ELLAM-MFEM approximation to miscible displacement in three space dimensions.
J. Comput. Appl. Math., 2020

A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation.
J. Comput. Appl. Math., 2020

An efficient matrix splitting preconditioning technique for two-dimensional unsteady space-fractional diffusion equations.
J. Comput. Appl. Math., 2020

Numerical Approximations for the Variable Coefficient Fractional Diffusion Equations with Non-smooth Data.
Comput. Methods Appl. Math., 2020

A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations.
Comput. Math. Appl., 2020

A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations.
Comput. Math. Appl., 2020

Analysis of a nonlinear variable-order fractional stochastic differential equation.
Appl. Math. Lett., 2020

A Preconditioned Fast Collocation Method for a Linear Nonlocal Diffusion Model in Convex Domains.
IEEE Access, 2020

2019
An Efficient Finite Volume Method for Nonlinear Distributed-Order Space-Fractional Diffusion Equations in Three Space Dimensions.
J. Sci. Comput., 2019

Least-Squared Mixed Variational Formulation Based on Space Decomposition for a Kind of Variable-Coefficient Fractional Diffusion Problems.
J. Sci. Comput., 2019

A Preconditioned Fast Parareal Finite Difference Method for Space-Time Fractional Partial Differential Equation.
J. Sci. Comput., 2019

A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation.
J. Comput. Phys., 2019

A fractional phase-field model using an infinitesimal generator of <i>α</i> stable Lévy process.
J. Comput. Phys., 2019

Finite element simulation and efficient algorithm for fractional Cahn-Hilliard equation.
J. Comput. Appl. Math., 2019

A preconditioned fast quadratic spline collocation method for two-sided space-fractional partial 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

A fast compact finite difference method for quasilinear time fractional parabolic equation without singular kernel.
Int. J. Comput. Math., 2019

An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection.
Comput. Phys. Commun., 2019

A fast method for variable-order space-fractional diffusion equations.
CoRR, 2019

On power law scaling dynamics for time-fractional phase field models during coarsening.
Commun. Nonlinear Sci. Numer. Simul., 2019

A fast finite volume method for conservative space-time fractional diffusion equations discretized on space-time locally refined meshes.
Comput. Math. Appl., 2019

A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains.
Comput. Appl. Math., 2019

Speckle reduction based on fractional-order filtering and boosted singular value shrinkage for optical coherence tomography image.
Biomed. Signal Process. Control., 2019

Wellposedness and regularity of a nonlinear variable-order fractional wave equation.
Appl. Math. Lett., 2019

Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension.
Appl. Math. Comput., 2019

Analysis and numerical solution of a nonlinear variable-order fractional differential equation.
Adv. Comput. Math., 2019

2018
A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion Equations with Fractional Derivative Boundary Conditions.
J. Sci. Comput., 2018

A Fast Discontinuous Galerkin Method for a Bond-Based Linear Peridynamic Model Discretized on a Locally Refined Composite Mesh.
J. Sci. Comput., 2018

POD/DEIM Reduced-Order Modeling of Time-Fractional Partial Differential Equations with Applications in Parameter Identification.
J. Sci. Comput., 2018

An integrated fractional partial differential equation and molecular dynamics model of anomalously diffusive transport in heterogeneous nano-pore structures.
J. Comput. Phys., 2018

A fourth-order scheme for space fractional diffusion equations.
J. Comput. Phys., 2018

Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation.
Comput. Math. Appl., 2018

A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains.
Comput. Math. Appl., 2018

Tempered fractional diffusion equations for pricing multi-asset options under CGMYe process.
Comput. Math. Appl., 2018

2017
Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations.
Numer. Algorithms, 2017

Accuracy of Finite Element Methods for Boundary-Value Problems of Steady-State Fractional Diffusion Equations.
J. Sci. Comput., 2017

Mixed-Type Galerkin Variational Principle and Numerical Simulation for a Generalized Nonlocal Elastic Model.
J. Sci. Comput., 2017

A fast collocation method for a variable-coefficient nonlocal diffusion model.
J. Comput. Phys., 2017

A space-time fractional phase-field model with tunable sharpness and decay behavior and its efficient numerical simulation.
J. Comput. Phys., 2017

An hp-Galerkin method with fast solution for linear peridynamic models in one dimension.
Comput. Math. Appl., 2017

A divide-and-conquer fast finite difference method for space-time fractional partial differential equation.
Comput. Math. Appl., 2017

2016
Fast Iterative Solvers for Linear Systems Arising from Time-Dependent Space-Fractional Diffusion Equations.
SIAM J. Sci. Comput., 2016

A Fast Gradient Projection Method for a Constrained Fractional Optimal Control.
J. Sci. Comput., 2016

A fast finite volume method for conservative space-fractional diffusion equations in convex domains.
J. Comput. Phys., 2016

Numerical simulation for conservative fractional diffusion equations by an expanded mixed formulation.
J. Comput. Appl. Math., 2016

Uniform estimates for characteristics-mixed finite method for transient advection-dominated diffusion problems in two-dimensional space.
Appl. Math. Comput., 2016

2015
A Fast Finite Element Method for Space-Fractional Dispersion Equations on Bounded Domains in ℝ<sup>2</sup>.
SIAM J. Sci. Comput., 2015

A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations.
J. Comput. Phys., 2015

A preconditioned fast finite volume scheme for a fractional differential equation discretized on a locally refined composite mesh.
J. Comput. Phys., 2015

Fast finite difference methods for space-fractional diffusion equations with fractional derivative boundary conditions.
J. Comput. Phys., 2015

A fast method for a generalized nonlocal elastic model.
J. Comput. Phys., 2015

2014
Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations.
J. Comput. Phys., 2014

Fast solution methods for space-fractional diffusion equations.
J. Comput. Appl. Math., 2014

2013
A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation.
J. Comput. Phys., 2013

A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations.
J. Comput. Phys., 2013

Uniform error estimates for triangular finite element solutions of advection-diffusion equations.
Adv. Comput. Math., 2013

2012
A fast Galerkin method with efficient matrix assembly and storage for a peridynamic model.
J. Comput. Phys., 2012

2011
An O(N log<sup>2</sup>N) alternating-direction finite difference method for two-dimensional fractional diffusion equations.
J. Comput. Phys., 2011

2010
A direct O(N log<sup>2</sup> N) finite difference method for fractional diffusion equations.
J. Comput. Phys., 2010

2009
Uniform optimal-order estimates for finite element methods for advection-diffusion equations.
J. Syst. Sci. Complex., 2009

2007
A fractional step ELLAM approach to high-dimensional convection-diffusion problems with forward particle tracking.
J. Comput. Phys., 2007

A characteristic method for porous medium flow.
Int. J. Comput. Sci. Math., 2007

2006
An Eulerian-Lagrangian Solution Technique for Single-Phase Compositional Flow in Three-Dimensional Porous Media.
Comput. Math. Appl., 2006


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