Hai-Wei Sun

Orcid: 0000-0002-5507-6083

According to our database1, Hai-Wei Sun authored at least 93 papers between 1996 and 2024.

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

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Bibliography

2024
A stiff-cut splitting technique for stiff semi-linear systems of differential equations.
Numer. Algorithms, March, 2024

An efficient red-black skewed extrapolation cascadic multigrid method for two-dimensional Poisson equation.
Comput. Appl. Math., February, 2024

A stabilized SAV difference scheme and its accelerated solver for spatial fractional Cahn-Hilliard equations.
Math. Comput. Simul., 2024

Stiff-cut leap-frog scheme for fractional Laplacian diffusion equations.
J. Comput. Appl. Math., 2024

Efficient and unconditionally energy stable exponential-SAV schemes for the phase field crystal equation.
Appl. Math. Comput., 2024

A fast Strang splitting method with mass conservation for the space-fractional Gross-Pitaevskii equation.
Appl. Math. Comput., 2024

2023
Optimal Error Estimates of SAV Crank-Nicolson Finite Element Method for the Coupled Nonlinear Schrödinger Equation.
J. Sci. Comput., December, 2023

Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation.
Comput. Appl. Math., December, 2023

Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation.
Comput. Math. Appl., November, 2023

Preconditioning Technique Based on Sine Transformation for Nonlocal Helmholtz Equations with Fractional Laplacian.
J. Sci. Comput., October, 2023

Sine transform based preconditioning techniques for space fractional diffusion equations.
Numer. Linear Algebra Appl., August, 2023

Efficient and energy stable numerical schemes for the two-mode phase field crystal equation.
J. Comput. Appl. Math., August, 2023

Numerical Study of a Fast Two-Level Strang Splitting Method for Spatial Fractional Allen-Cahn Equations.
J. Sci. Comput., June, 2023

An α-robust fast algorithm for distributed-order time-space fractional diffusion equation with weakly singular solution.
Math. Comput. Simul., May, 2023

High-Order Compact Finite Difference Methods for Solving the High-Dimensional Helmholtz Equations.
Comput. Methods Appl. Math., April, 2023

A τ-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation.
Numer. Algorithms, January, 2023

Splitting ADI scheme for fractional Laplacian wave equations.
CoRR, 2023

A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems.
Comput. Math. Appl., 2023

Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn-Hilliard equations.
Appl. Math. Lett., 2023

2022
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations.
J. Appl. Math. Comput., February, 2022

All-at-once method for variable-order time fractional diffusion equations.
Numer. Algorithms, 2022

Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations.
Numer. Algorithms, 2022

A transformed L1 method for solving the multi-term time-fractional diffusion problem.
Math. Comput. Simul., 2022

A Sixth-Order Quasi-Compact Difference Scheme for Multidimensional Poisson Equations Without Derivatives of Source Term.
J. Sci. Comput., 2022

A Novel Discrete Fractional Grönwall-Type Inequality and Its Application in Pointwise-in-Time Error Estimates.
J. Sci. Comput., 2022

Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations.
J. Sci. Comput., 2022

An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model.
J. Comput. Appl. Math., 2022

A fast two-level Strang splitting method for multi-dimensional spatial fractional Allen-Cahn equations with discrete maximum principle.
CoRR, 2022

An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations.
Comput. Math. Appl., 2022

A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes.
Comput. Math. Appl., 2022

Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation.
Appl. Math. Comput., 2022

Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions.
Appl. Math. Comput., 2022

Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations.
Appl. Math. Comput., 2022

A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations.
Appl. Math. Comput., 2022

2021
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations.
J. Appl. Math. Comput., June, 2021

Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations.
Numerische Mathematik, 2021

A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation.
J. Sci. Comput., 2021

A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations.
J. Sci. Comput., 2021

A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations.
J. Comput. Appl. Math., 2021

Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions.
CoRR, 2021

A preconditioner based on sine transform for two-dimensional Riesz space factional diffusion equations in convex domains.
CoRR, 2021

Fast second-order evaluation for variable-order Caputo fractional derivative with applications to fractional sub-diffusion equations.
CoRR, 2021

Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations.
CoRR, 2021

Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations.
Comput. Math. Appl., 2021

An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order.
Appl. Math. Lett., 2021

An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients.
Appl. Math. Comput., 2021

2020
Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method.
J. Appl. Math. Comput., February, 2020

Exponential Runge-Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg-Landau Equations.
J. Sci. Comput., 2020

An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients.
Int. J. Comput. Math., 2020

Chaotic Behaviors of One-Dimensional Wave Equations with van der Pol Boundary Conditions Containing a Source Term.
Int. J. Bifurc. Chaos, 2020

Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian.
CoRR, 2020

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

2019
Crank-Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients.
SIAM J. Numer. Anal., 2019

Measure-Theoretic Invariance Entropy for Control Systems.
SIAM J. Control. Optim., 2019

A primal-dual method for the Meyer model of cartoon and texture decomposition.
Numer. Linear Algebra Appl., 2019

Circulant preconditioners for a kind of spatial fractional diffusion equations.
Numer. Algorithms, 2019

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

2018
Approximate inversion method for time-fractional subdiffusion equations.
Numer. Linear Algebra Appl., 2018

Two-step Newton-type methods for solving inverse eigenvalue problems.
Numer. Linear Algebra Appl., 2018

Fast Laplace Transform Methods for Free-Boundary Problems of Fractional Diffusion Equations.
J. Sci. Comput., 2018

Stability and Convergence Analysis of Finite Difference Schemes for Time-Dependent Space-Fractional Diffusion Equations with Variable Diffusion Coefficients.
J. Sci. Comput., 2018

On variational properties of balanced central fractional derivatives.
Int. J. Comput. Math., 2018

2017
A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations.
SIAM J. Matrix Anal. Appl., 2017

A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations.
J. Comput. Phys., 2017

Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection-diffusion problems.
Int. J. Comput. Math., 2017

2016
Fast Numerical Contour Integral Method for Fractional Diffusion Equations.
J. Sci. Comput., 2016

Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids.
J. Comput. Phys., 2016

A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation.
J. Comput. Phys., 2016

Fourth order finite difference schemes for time-space fractional sub-diffusion equations.
Comput. Math. Appl., 2016

2015
Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations.
Numer. Linear Algebra Appl., 2015

Fast numerical solution for fractional diffusion equations by exponential quadrature rule.
J. Comput. Phys., 2015

A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations.
J. Comput. Phys., 2015

Some high-order difference schemes for the distributed-order differential equations.
J. Comput. Phys., 2015

Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence.
J. Comput. Phys., 2015

Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions.
J. Comput. Phys., 2015

A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations.
Comput. Phys. Commun., 2015

2014
Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations.
SIAM J. Sci. Comput., 2014

Combined compact difference scheme for linear second-order partial differential equations with mixed derivative.
J. Comput. Appl. Math., 2014

A fast high-order sinc-based algorithm for pricing options under jump-diffusion processes.
Int. J. Comput. Math., 2014

A CCD-ADI method for unsteady convection-diffusion equations.
Comput. Phys. Commun., 2014

Exponential splitting for n-dimensional paraxial Helmholtz equation with high wavenumbers.
Comput. Math. Appl., 2014

2013
A circulant preconditioner for fractional diffusion equations.
J. Comput. Phys., 2013

High-Order Numerical Methods for Wave Equations with van der Pol Type Boundary Conditions.
Proceedings of the SIAM Conference on Control and its Applications, 2013

2012
Fast exponential time integration scheme for option pricing with jumps.
Numer. Linear Algebra Appl., 2012

Multigrid method for fractional diffusion equations.
J. Comput. Phys., 2012

Boundary value methods for transient solutions of queueing networks with variant vacation policy.
J. Comput. Appl. Math., 2012

2011
Shift-invert Lanczos method for the symmetric positive semidefinite Toeplitz matrix exponential.
Numer. Linear Algebra Appl., 2011

Boundary value methods with the Crank-Nicolson preconditioner for pricing options in the jump-diffusion model.
Int. J. Comput. Math., 2011

Multigrid algorithm from cyclic reduction for Markovian queueing networks.
Appl. Math. Comput., 2011

2010
Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential.
SIAM J. Sci. Comput., 2010

2003
Recursive-Based PCG Methods for Toeplitz Systems with Nonnegative Generating Functions.
SIAM J. Sci. Comput., 2003

1998
Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems.
SIAM J. Sci. Comput., 1998

1996
Fast Algorithms for Problems on Thermal Tomography.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996


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