Hai-Wei Sun

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 67

Top Topics

Diffusion Processes

Piecewise Continuous

Diffusion Equation

Top Venues

J. Sci. Comput.

J. Comput. Phys.

Comput. Math. Appl.

Publications

Yao-Yuan Cai, Hai-Wei Sun
A fast Strang splitting method with mass conservation for the space-fractional Gross-Pitaevskii equation. Appl. Math. Comput. 470 (2024)
Yuan Xu, Siu-Long Lei, Hai-Wei Sun
An efficient red-black skewed extrapolation cascadic multigrid method for two-dimensional Poisson equation. Comput. Appl. Math. 43 (1) (2024)
Xin Huang, Siu-Long Lei, Dongfang Li, Hai-Wei Sun
A stabilized SAV difference scheme and its accelerated solver for spatial fractional Cahn-Hilliard equations. Math. Comput. Simul. 225 (2024)
Tao Sun, Hai-Wei Sun
A stiff-cut splitting technique for stiff semi-linear systems of differential equations. Numer. Algorithms 95 (3) (2024)
Tao Sun, Hai-Wei Sun
Stiff-cut leap-frog scheme for fractional Laplacian diffusion equations. J. Comput. Appl. Math. 451 (2024)
Fan Zhang, Hai-Wei Sun, Tao Sun
Efficient and unconditionally energy stable exponential-SAV schemes for the phase field crystal equation. Appl. Math. Comput. 470 (2024)
Tian-Yi Li, Fang Chen, Hai-Wei Sun, Tao Sun
Preconditioning Technique Based on Sine Transformation for Nonlocal Helmholtz Equations with Fractional Laplacian. J. Sci. Comput. 97 (1) (2023)
Xue-lei Lin, Xin Huang, Michael K. Ng, Hai-Wei Sun
A τ-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation. Numer. Algorithms 92 (1) (2023)
Zhi Wang, Yongbin Ge, Hai-Wei Sun
High-Order Compact Finite Difference Methods for Solving the High-Dimensional Helmholtz Equations. Comput. Methods Appl. Math. 23 (2) (2023)
Yi Xu, HongGuang Sun, Yuhui Zhang, Hai-Wei Sun, Ji Lin
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. 142 (2023)
Tao Sun, Hai-Wei Sun
Splitting ADI scheme for fractional Laplacian wave equations. CoRR (2023)
Lu-Yao Sun, Siu-Long Lei, Hai-Wei Sun
Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation. Comput. Appl. Math. 42 (8) (2023)
Xin Huang, Dongfang Li, Hai-Wei Sun
Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn-Hilliard equations. Appl. Math. Lett. 138 (2023)
Lu Zhang, Qifeng Zhang, Hai-Wei Sun
Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation. Comput. Math. Appl. 150 (2023)
Lu-Yao Sun, Siu-Long Lei, Hai-Wei Sun, Jia-Li Zhang
An α-robust fast algorithm for distributed-order time-space fractional diffusion equation with weakly singular solution. Math. Comput. Simul. 207 (2023)
Hai-Hua Qin, Hong-Kui Pang, Hai-Wei Sun
Sine transform based preconditioning techniques for space fractional diffusion equations. Numer. Linear Algebra Appl. 30 (4) (2023)
Fan Zhang, Dongfang Li, Hai-Wei Sun
Efficient and energy stable numerical schemes for the two-mode phase field crystal equation. J. Comput. Appl. Math. 427 (2023)
Yao-Yuan Cai, Hai-Wei Sun, Sik-Chung Tam
Numerical Study of a Fast Two-Level Strang Splitting Method for Spatial Fractional Allen-Cahn Equations. J. Sci. Comput. 95 (3) (2023)
Yuan Xu, Siu-Long Lei, Hai-Wei Sun
An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations. Comput. Math. Appl. 124 (2022)
Hong-Kui Pang, Hai-Hua Qin, Hai-Wei Sun
All-at-once method for variable-order time fractional diffusion equations. Numer. Algorithms 90 (1) (2022)
Tao Sun, Zhi Wang, Hai-Wei Sun, Chengjian Zhang
A Sixth-Order Quasi-Compact Difference Scheme for Multidimensional Poisson Equations Without Derivatives of Source Term. J. Sci. Comput. 93 (2) (2022)
Zhi Wang, Yongbin Ge, Hai-Wei Sun, Tao Sun
Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations. Appl. Math. Comput. 431 (2022)
Hao Chen, Hai-Wei Sun
Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations. Numer. Algorithms 90 (2) (2022)
Chun-Hua Zhang, Guang-Ze Chen, Zhi-Wei Fang, Xue-lei Lin, Hai-Wei Sun
An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model. J. Comput. Appl. Math. 403 (2022)
Xin Huang, Dongfang Li, Hai-Wei Sun, Fan Zhang
Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations. J. Sci. Comput. 92 (2) (2022)
Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations. J. Appl. Math. Comput. 68 (1) (2022)
Yao-Yuan Cai, Zhi-Wei Fang, Hao Chen, Hai-Wei Sun
A fast two-level Strang splitting method for multi-dimensional spatial fractional Allen-Cahn equations with discrete maximum principle. CoRR (2022)
Zhi-Wei Fang, Jia-Li Zhang, Hai-Wei Sun
A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes. Comput. Math. Appl. 108 (2022)
Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions. Appl. Math. Comput. 430 (2022)
Lu-Yao Sun, Zhi-Wei Fang, Siu-Long Lei, Hai-Wei Sun, Jia-Li Zhang
A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations. Appl. Math. Comput. 425 (2022)
Qifeng Zhang, Cuicui Sun, Zhi-Wei Fang, Hai-Wei Sun
Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation. Appl. Math. Comput. 418 (2022)
Hong-Kui Pang, Hai-Wei Sun
A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation. J. Sci. Comput. 87 (1) (2021)
Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations. CoRR (2021)
Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
Fast second-order evaluation for variable-order Caputo fractional derivative with applications to fractional sub-diffusion equations. CoRR (2021)
Xin Huang, Hai-Wei Sun
A preconditioner based on sine transform for two-dimensional Riesz space factional diffusion equations in convex domains. CoRR (2021)
Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun
Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations. CoRR (2021)
Hao Chen, Hai-Wei Sun
A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations. J. Sci. Comput. 87 (1) (2021)
Zhi-Wei Fang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun
Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations. Numerische Mathematik 147 (3) (2021)
Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions. CoRR (2021)
Qifeng Zhang, Lu Zhang, Hai-Wei Sun
A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. J. Comput. Appl. Math. 389 (2021)
Xian-Ming Gu, Hai-Wei Sun, Yong-Liang Zhao, Xiangcheng Zheng
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order. Appl. Math. Lett. 120 (2021)
Hong-Kui Pang, Hai-Hua Qin, Hai-Wei Sun, Ting-Ting Ma
Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations. Comput. Math. Appl. 85 (2021)
Kejia Pan, Hai-Wei Sun, Yuan Xu, Yufeng Xu
An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients. Appl. Math. Comput. 402 (2021)
Xin Lu, Zhi-Wei Fang, Hai-Wei Sun
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations. J. Appl. Math. Comput. 66 (1-2) (2021)
ZhiJing Chen, Yu Huang, Hai-Wei Sun, Tongyang Zhou
Chaotic Behaviors of One-Dimensional Wave Equations with van der Pol Boundary Conditions Containing a Source Term. Int. J. Bifurc. Chaos 30 (15) (2020)
Lu Zhang, Hai-Wei Sun
Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method. J. Appl. Math. Comput. 62 (1-2) (2020)
Zhi-Wei Fang, Hai-Wei Sun, Hong Wang
A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations. Comput. Math. Appl. 80 (5) (2020)
Xian-Ming Gu, Hai-Wei Sun, Yanzhi Zhang, Yong-Liang Zhao
Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian. CoRR (2020)
Zhi-Wei Fang, Hai-Wei Sun, Hui-Qin Wei
An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients. Int. J. Comput. Math. 97 (3) (2020)
Lu Zhang, Qifeng Zhang, Hai-Wei Sun
Exponential Runge-Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg-Landau Equations. J. Sci. Comput. 83 (3) (2020)
Xue-lei Lin, Michael K. Ng, Hai-Wei Sun
Crank-Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients. SIAM J. Numer. Anal. 57 (3) (2019)
Tao Wang, Yu Huang, Hai-Wei Sun
Measure-Theoretic Invariance Entropy for Control Systems. SIAM J. Control. Optim. 57 (1) (2019)
Zhi-Wei Fang, Michael K. Ng, Hai-Wei Sun
Circulant preconditioners for a kind of spatial fractional diffusion equations. Numer. Algorithms 82 (2) (2019)
Ning Du, Hai-Wei Sun, Hong Wang
A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains. Comput. Appl. Math. 38 (1) (2019)
You-Wei Wen, Hai-Wei Sun, Michael K. Ng
A primal-dual method for the Meyer model of cartoon and texture decomposition. Numer. Linear Algebra Appl. 26 (2) (2019)
Yufeng Xu, Hai-Wei Sun, Qin Sheng
On variational properties of balanced central fractional derivatives. Int. J. Comput. Math. 95 (6-7) (2018)
Xue-lei Lin, Michael K. Ng, Hai-Wei Sun
Stability and Convergence Analysis of Finite Difference Schemes for Time-Dependent Space-Fractional Diffusion Equations with Variable Diffusion Coefficients. J. Sci. Comput. 75 (2) (2018)
Xiao Shan Chen, Chao Tao Wen, Hai-Wei Sun
Two-step Newton-type methods for solving inverse eigenvalue problems. Numer. Linear Algebra Appl. 25 (5) (2018)
Zhiqiang Zhou, Jingtang Ma, Hai-Wei Sun
Fast Laplace Transform Methods for Free-Boundary Problems of Fractional Diffusion Equations. J. Sci. Comput. 74 (1) (2018)
Xin Lu, Hong-Kui Pang, Hai-Wei Sun, Seak-Weng Vong
Approximate inversion method for time-fractional subdiffusion equations. Numer. Linear Algebra Appl. 25 (2) (2018)
Fujun Cao, Yongbin Ge, Hai-Wei Sun
Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection-diffusion problems. Int. J. Comput. Math. 94 (12) (2017)
Xue-lei Lin, Michael K. Ng, Hai-Wei Sun
A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations. SIAM J. Matrix Anal. Appl. 38 (4) (2017)
Xue-lei Lin, Michael K. Ng, Hai-Wei Sun
A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations. J. Comput. Phys. 336 (2017)
Xue-lei Lin, Xin Lu, Michael K. Ng, Hai-Wei Sun
A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation. J. Comput. Phys. 323 (2016)
Qin Sheng, Hai-Wei Sun
Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids. J. Comput. Phys. 325 (2016)
Hong-Kui Pang, Hai-Wei Sun
Fourth order finite difference schemes for time-space fractional sub-diffusion equations. Comput. Math. Appl. 71 (6) (2016)
Hong-Kui Pang, Hai-Wei Sun
Fast Numerical Contour Integral Method for Fractional Diffusion Equations. J. Sci. Comput. 66 (1) (2016)
Leonard Z. Li, Hai-Wei Sun, Sik-Chung Tam
A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations. Comput. Phys. Commun. 187 (2015)
Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun
Some high-order difference schemes for the distributed-order differential equations. J. Comput. Phys. 298 (2015)
Lu Zhang, Hai-Wei Sun, Hong-Kui Pang
Fast numerical solution for fractional diffusion equations by exponential quadrature rule. J. Comput. Phys. 299 (2015)
Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun
Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. J. Comput. Phys. 280 (2015)
Guang-hua Gao, Hai-Wei Sun
Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions. J. Comput. Phys. 298 (2015)
Rihuan Ke, Michael K. Ng, Hai-Wei Sun
A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations. J. Comput. Phys. 303 (2015)
Xin Lu, Hong-Kui Pang, Hai-Wei Sun
Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations. Numer. Linear Algebra Appl. 22 (5) (2015)
Jun Liu, Hai-Wei Sun
A fast high-order sinc-based algorithm for pricing options under jump-diffusion processes. Int. J. Comput. Math. 91 (10) (2014)
Qin Sheng, Hai-Wei Sun
Exponential splitting for n-dimensional paraxial Helmholtz equation with high wavenumbers. Comput. Math. Appl. 68 (10) (2014)
Spike T. Lee, Jun Liu, Hai-Wei Sun
Combined compact difference scheme for linear second-order partial differential equations with mixed derivative. J. Comput. Appl. Math. 264 (2014)
Jianyu Pan, Rihuan Ke, Michael K. Ng, Hai-Wei Sun
Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations. SIAM J. Sci. Comput. 36 (6) (2014)
Hai-Wei Sun, Leonard Z. Li
A CCD-ADI method for unsteady convection-diffusion equations. Comput. Phys. Commun. 185 (3) (2014)
Jun Liu, Yu Huang, Hai-Wei Sun, Mingqing Xiao
High-Order Numerical Methods for Wave Equations with van der Pol Type Boundary Conditions. SIAM Conf. on Control and its Applications (2013)
Siu-Long Lei, Hai-Wei Sun
A circulant preconditioner for fractional diffusion equations. J. Comput. Phys. 242 (2013)
Hong-Kui Pang, Hai-Wei Sun
Multigrid method for fractional diffusion equations. J. Comput. Phys. 231 (2) (2012)
Raymond H. Chan, Spike T. Lee, Hai-Wei Sun
Boundary value methods for transient solutions of queueing networks with variant vacation policy. J. Comput. Appl. Math. 236 (16) (2012)
Spike T. Lee, Xin Liu, Hai-Wei Sun
Fast exponential time integration scheme for option pricing with jumps. Numer. Linear Algebra Appl. 19 (1) (2012)
Shu-Ling Yang, Jian-Feng Cai, Hai-Wei Sun
Multigrid algorithm from cyclic reduction for Markovian queueing networks. Appl. Math. Comput. 217 (16) (2011)
Hong-Kui Pang, Hai-Wei Sun
Shift-invert Lanczos method for the symmetric positive semidefinite Toeplitz matrix exponential. Numer. Linear Algebra Appl. 18 (3) (2011)
Shu-Ling Yang, Spike T. Lee, Hai-Wei Sun
Boundary value methods with the Crank-Nicolson preconditioner for pricing options in the jump-diffusion model. Int. J. Comput. Math. 88 (8) (2011)
Spike T. Lee, Hong-Kui Pang, Hai-Wei Sun
Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential. SIAM J. Sci. Comput. 32 (2) (2010)
Michael K. Ng, Hai-Wei Sun, Xiao-Qing Jin
Recursive-Based PCG Methods for Toeplitz Systems with Nonnegative Generating Functions. SIAM J. Sci. Comput. 24 (5) (2003)
Raymond H. Chan, Qianshun Chang, Hai-Wei Sun
Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems. SIAM J. Sci. Comput. 19 (2) (1998)
Raymond H. Chan, Chun-pong Cheung, Hai-Wei Sun
Fast Algorithms for Problems on Thermal Tomography. WNAA (1996)