Fast Algorithms for Problems on Thermal Tomography. - Raymond H. Chan; Chun-pong Cheung; Hai-Wei Sun (WNAA, 1996)

Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems. - Raymond H. Chan; Qianshun Chang; Hai-Wei Sun (SIAM J. Sci. Comput., 1998)

Recursive-Based PCG Methods for Toeplitz Systems with Nonnegative Generating Functions. - Michael K. Ng 001; Hai-Wei Sun; Xiao-Qing Jin (SIAM J. Sci. Comput., 2003)

Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential. - Spike T. Lee; Hong-Kui Pang; Hai-Wei Sun (SIAM J. Sci. Comput., 2010)

Multigrid algorithm from cyclic reduction for Markovian queueing networks. - Shu-Ling Yang; Jian-Feng Cai 001; Hai-Wei Sun (Appl. Math. Comput., 2011)

Boundary value methods with the Crank-Nicolson preconditioner for pricing options in the jump-diffusion model. - Shu-Ling Yang; Spike T. Lee; Hai-Wei Sun (Int. J. Comput. Math., 2011)

Shift-invert Lanczos method for the symmetric positive semidefinite Toeplitz matrix exponential. - Hong-Kui Pang; Hai-Wei Sun (Numer. Linear Algebra Appl., 2011)

Boundary value methods for transient solutions of queueing networks with variant vacation policy. - Raymond H. Chan; Spike T. Lee; Hai-Wei Sun (J. Comput. Appl. Math., 2012)

Multigrid method for fractional diffusion equations. - Hong-Kui Pang; Hai-Wei Sun (J. Comput. Phys., 2012)

Fast exponential time integration scheme for option pricing with jumps. - Spike T. Lee; Xin Liu; Hai-Wei Sun (Numer. Linear Algebra Appl., 2012)

High-Order Numerical Methods for Wave Equations with van der Pol Type Boundary Conditions. - Jun Liu 025; Yu Huang 006; Hai-Wei Sun; Mingqing Xiao 001 (SIAM Conf. on Control and its Applications, 2013)

A circulant preconditioner for fractional diffusion equations. - Siu-Long Lei; Hai-Wei Sun (J. Comput. Phys., 2013)

Exponential splitting for n-dimensional paraxial Helmholtz equation with high wavenumbers. - Qin Sheng; Hai-Wei Sun (Comput. Math. Appl., 2014)

A CCD-ADI method for unsteady convection-diffusion equations. - Hai-Wei Sun; Leonard Z. Li (Comput. Phys. Commun., 2014)

A fast high-order sinc-based algorithm for pricing options under jump-diffusion processes. - Jun Liu 025; Hai-Wei Sun (Int. J. Comput. Math., 2014)

Combined compact difference scheme for linear second-order partial differential equations with mixed derivative. - Spike T. Lee; Jun Liu 025; Hai-Wei Sun (J. Comput. Appl. Math., 2014)

Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations. - Jianyu Pan; Rihuan Ke; Michael K. Ng 001; Hai-Wei Sun (SIAM J. Sci. Comput., 2014)

A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations. - Leonard Z. Li; Hai-Wei Sun; Sik-Chung Tam (Comput. Phys. Commun., 2015)

Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions. - Guang-hua Gao; Hai-Wei Sun (J. Comput. Phys., 2015)

Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. - Guang-hua Gao; Hai-Wei Sun; Zhi-Zhong Sun (J. Comput. Phys., 2015)

Some high-order difference schemes for the distributed-order differential equations. - Guang-hua Gao; Hai-Wei Sun; Zhi-Zhong Sun (J. Comput. Phys., 2015)

A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations. - Rihuan Ke; Michael K. Ng 001; Hai-Wei Sun (J. Comput. Phys., 2015)

Fast numerical solution for fractional diffusion equations by exponential quadrature rule. - Lu Zhang; Hai-Wei Sun; Hong-Kui Pang (J. Comput. Phys., 2015)

Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations. - Xin Lu; Hong-Kui Pang; Hai-Wei Sun (Numer. Linear Algebra Appl., 2015)

Fourth order finite difference schemes for time-space fractional sub-diffusion equations. - Hong-Kui Pang; Hai-Wei Sun (Comput. Math. Appl., 2016)

A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation. - Xue-lei Lin; Xin Lu; Michael K. Ng 001; Hai-Wei Sun (J. Comput. Phys., 2016)

Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids. - Qin Sheng; Hai-Wei Sun (J. Comput. Phys., 2016)

Fast Numerical Contour Integral Method for Fractional Diffusion Equations. - Hong-Kui Pang; Hai-Wei Sun (J. Sci. Comput., 2016)

Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection-diffusion problems. - Fujun Cao; Yongbin Ge; Hai-Wei Sun (Int. J. Comput. Math., 2017)

A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations. - Xue-lei Lin; Michael K. Ng 001; Hai-Wei Sun (J. Comput. Phys., 2017)

A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations. - Xue-lei Lin; Michael K. Ng 001; Hai-Wei Sun (SIAM J. Matrix Anal. Appl., 2017)

On variational properties of balanced central fractional derivatives. - Yufeng Xu; Hai-Wei Sun; Qin Sheng (Int. J. Comput. Math., 2018)

Stability and Convergence Analysis of Finite Difference Schemes for Time-Dependent Space-Fractional Diffusion Equations with Variable Diffusion Coefficients. - Xue-lei Lin; Michael K. Ng 001; Hai-Wei Sun (J. Sci. Comput., 2018)

Fast Laplace Transform Methods for Free-Boundary Problems of Fractional Diffusion Equations. - Zhiqiang Zhou; Jingtang Ma; Hai-Wei Sun (J. Sci. Comput., 2018)

Two-step Newton-type methods for solving inverse eigenvalue problems. - Xiao Shan Chen; Chao Tao Wen; Hai-Wei Sun (Numer. Linear Algebra Appl., 2018)

Approximate inversion method for time-fractional subdiffusion equations. - Xin Lu; Hong-Kui Pang; Hai-Wei Sun; Seak-Weng Vong (Numer. Linear Algebra Appl., 2018)

A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains. - Ning Du; Hai-Wei Sun; Hong Wang 018 (Comput. Appl. Math., 2019)

Circulant preconditioners for a kind of spatial fractional diffusion equations. - Zhi-Wei Fang; Michael K. Ng 001; Hai-Wei Sun (Numer. Algorithms, 2019)

A primal-dual method for the Meyer model of cartoon and texture decomposition. - You-Wei Wen; Hai-Wei Sun; Michael K. Ng 001 (Numer. Linear Algebra Appl., 2019)

Measure-Theoretic Invariance Entropy for Control Systems. - Tao Wang; Yu Huang 006; Hai-Wei Sun (SIAM J. Control. Optim., 2019)

Crank-Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients. - Xue-lei Lin; Michael K. Ng 001; Hai-Wei Sun (SIAM J. Numer. Anal., 2019)

A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations. - Zhi-Wei Fang; Hai-Wei Sun; Hong Wang 018 (Comput. Math. Appl., 2020)

Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian. - Xian-Ming Gu; Hai-Wei Sun; Yanzhi Zhang; Yong-Liang Zhao (CoRR, 2020)

Chaotic Behaviors of One-Dimensional Wave Equations with van der Pol Boundary Conditions Containing a Source Term. - ZhiJing Chen; Yu Huang 006; Hai-Wei Sun; Tongyang Zhou (Int. J. Bifurc. Chaos, 2020)

An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients. - Zhi-Wei Fang; Hai-Wei Sun; Hui-Qin Wei (Int. J. Comput. Math., 2020)

Exponential Runge-Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg-Landau Equations. - Lu Zhang; Qifeng Zhang; Hai-Wei Sun (J. Sci. Comput., 2020)

Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method. - Lu Zhang; Hai-Wei Sun (J. Appl. Math. Comput., 2020)

An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients. - Kejia Pan; Hai-Wei Sun; Yuan Xu; Yufeng Xu (Appl. Math. Comput., 2021)

An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order. - Xian-Ming Gu; Hai-Wei Sun; Yong-Liang Zhao; Xiangcheng Zheng (Appl. Math. Lett., 2021)

Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations. - Hong-Kui Pang; Hai-Hua Qin; Hai-Wei Sun; Ting-Ting Ma (Comput. Math. Appl., 2021)

Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations. - Xin Huang; Xue-Lei Lin; Michael K. Ng 001; Hai-Wei Sun (CoRR, 2021)

Fast second-order evaluation for variable-order Caputo fractional derivative with applications to fractional sub-diffusion equations. - Jia-Li Zhang; Zhi-Wei Fang; Hai-Wei Sun (CoRR, 2021)

A preconditioner based on sine transform for two-dimensional Riesz space factional diffusion equations in convex domains. - Xin Huang; Hai-Wei Sun (CoRR, 2021)

Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions. - Jia-Li Zhang; Zhi-Wei Fang; Hai-Wei Sun (CoRR, 2021)

A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. - Qifeng Zhang; Lu Zhang; Hai-Wei Sun (J. Comput. Appl. Math., 2021)

A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations. - Hao Chen; Hai-Wei Sun (J. Sci. Comput., 2021)

A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation. - Hong-Kui Pang; Hai-Wei Sun (J. Sci. Comput., 2021)

Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations. - Zhi-Wei Fang; Xue-Lei Lin; Michael K. Ng 001; Hai-Wei Sun (Numerische Mathematik, 2021)

Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations. - Xin Lu; Zhi-Wei Fang; Hai-Wei Sun (J. Appl. Math. Comput., 2021)

A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations. - Lu-Yao Sun; Zhi-Wei Fang; Siu-Long Lei; Hai-Wei Sun; Jia-Li Zhang (Appl. Math. Comput., 2022)

Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations. - Zhi Wang; Yongbin Ge; Hai-Wei Sun; Tao Sun 015 (Appl. Math. Comput., 2022)

Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions. - Jia-Li Zhang; Zhi-Wei Fang; Hai-Wei Sun (Appl. Math. Comput., 2022)

Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation. - Qifeng Zhang; Cuicui Sun; Zhi-Wei Fang; Hai-Wei Sun (Appl. Math. Comput., 2022)

A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes. - Zhi-Wei Fang; Jia-Li Zhang; Hai-Wei Sun (Comput. Math. Appl., 2022)

An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations. - Yuan Xu; Siu-Long Lei; Hai-Wei Sun (Comput. Math. Appl., 2022)

A fast two-level Strang splitting method for multi-dimensional spatial fractional Allen-Cahn equations with discrete maximum principle. - Yao-Yuan Cai; Zhi-Wei Fang; Hao Chen; Hai-Wei Sun (CoRR, 2022)

An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model. - Chun-Hua Zhang; Guang-Ze Chen; Zhi-Wei Fang; Xue-lei Lin; Hai-Wei Sun (J. Comput. Appl. Math., 2022)

Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations. - Xin Huang; Dongfang Li; Hai-Wei Sun; Fan Zhang (J. Sci. Comput., 2022)

A Novel Discrete Fractional Grönwall-Type Inequality and Its Application in Pointwise-in-Time Error Estimates. - Dongfang Li; Mianfu She; Hai-Wei Sun; Xiaoqiang Yan (J. Sci. Comput., 2022)

A Sixth-Order Quasi-Compact Difference Scheme for Multidimensional Poisson Equations Without Derivatives of Source Term. - Tao Sun 015; Zhi Wang; Hai-Wei Sun; Chengjian Zhang (J. Sci. Comput., 2022)

A transformed L1 method for solving the multi-term time-fractional diffusion problem. - Mianfu She; Dongfang Li; Hai-Wei Sun (Math. Comput. Simul., 2022)

Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations. - Hao Chen; Hai-Wei Sun (Numer. Algorithms, 2022)

All-at-once method for variable-order time fractional diffusion equations. - Hong-Kui Pang; Hai-Hua Qin; Hai-Wei Sun (Numer. Algorithms, 2022)

Exponential-sum-approximation technique for variable-order time-fractional diffusion equations. - Jia-Li Zhang; Zhi-Wei Fang; Hai-Wei Sun (J. Appl. Math. Comput., 2022)

Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn-Hilliard equations. - Xin Huang; Dongfang Li; Hai-Wei Sun (Appl. Math. Lett., 2023)

A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems. - Yi Xu; HongGuang Sun; Yuhui Zhang; Hai-Wei Sun; Ji Lin 001 (Comput. Math. Appl., 2023)

Splitting ADI scheme for fractional Laplacian wave equations. - Tao Sun; Hai-Wei Sun (CoRR, 2023)

A τ-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation. - Xue-lei Lin; Xin Huang; Michael K. Ng 001; Hai-Wei Sun (Numer. Algorithms, 2023)

High-Order Compact Finite Difference Methods for Solving the High-Dimensional Helmholtz Equations. - Zhi Wang; Yongbin Ge; Hai-Wei Sun (Comput. Methods Appl. Math., 2023)

An α-robust fast algorithm for distributed-order time-space fractional diffusion equation with weakly singular solution. - Lu-Yao Sun; Siu-Long Lei; Hai-Wei Sun; Jia-Li Zhang (Math. Comput. Simul., 2023)

Numerical Study of a Fast Two-Level Strang Splitting Method for Spatial Fractional Allen-Cahn Equations. - Yao-Yuan Cai; Hai-Wei Sun; Sik-Chung Tam (J. Sci. Comput., 2023)

Efficient and energy stable numerical schemes for the two-mode phase field crystal equation. - Fan Zhang; Dongfang Li; Hai-Wei Sun (J. Comput. Appl. Math., 2023)

Sine transform based preconditioning techniques for space fractional diffusion equations. - Hai-Hua Qin; Hong-Kui Pang; Hai-Wei Sun (Numer. Linear Algebra Appl., 2023)

Preconditioning Technique Based on Sine Transformation for Nonlocal Helmholtz Equations with Fractional Laplacian. - Tian-Yi Li 002; Fang Chen; Hai-Wei Sun; Tao Sun 015 (J. Sci. Comput., 2023)

Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation. - Lu Zhang; Qifeng Zhang; Hai-Wei Sun (Comput. Math. Appl., 2023)

Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation. - Lu-Yao Sun; Siu-Long Lei; Hai-Wei Sun (Comput. Appl. Math., 2023)

Optimal Error Estimates of SAV Crank-Nicolson Finite Element Method for the Coupled Nonlinear Schrödinger Equation. - Dongfang Li; Xiaoxi Li; Hai-Wei Sun (J. Sci. Comput., 2023)

Incremental Learning Algorithms for Broad Learning System with Node and Input Addition. - Guang-Ze Chen; Junwei Jin 001; Hai-Wei Sun; C. L. Philip Chen (SMC, 2024)

A fast Strang splitting method with mass conservation for the space-fractional Gross-Pitaevskii equation. - Yao-Yuan Cai; Hai-Wei Sun (Appl. Math. Comput., 2024)

Efficient and unconditionally energy stable exponential-SAV schemes for the phase field crystal equation. - Fan Zhang; Hai-Wei Sun; Tao Sun 015 (Appl. Math. Comput., 2024)

Two-parameter modified matrix splitting iteration method for Helmholtz equation. - Tian-Yi Li 002; Fang Chen; Zhi-Wei Fang; Hai-Wei Sun; Zhi Wang (Int. J. Comput. Math., 2024)

Stiff-cut leap-frog scheme for fractional Laplacian diffusion equations. - Tao Sun 015; Hai-Wei Sun (J. Comput. Appl. Math., 2024)

A stabilized SAV difference scheme and its accelerated solver for spatial fractional Cahn-Hilliard equations. - Xin Huang; Siu-Long Lei; Dongfang Li; Hai-Wei Sun (Math. Comput. Simul., 2024)

An efficient red-black skewed extrapolation cascadic multigrid method for two-dimensional Poisson equation. - Yuan Xu; Siu-Long Lei; Hai-Wei Sun (Comput. Appl. Math., 2024)

A stiff-cut splitting technique for stiff semi-linear systems of differential equations. - Tao Sun 015; Hai-Wei Sun (Numer. Algorithms, 2024)

A preconditioned fast finite volume method for two-dimensional conservative space-fractional diffusion equations on non-uniform meshes. - Yuan Xu; Siu-Long Lei; Hai-Wei Sun; Zhi-Wei Fang (Comput. Math. Appl., 2025)

Pre-tensorial alternative direction implicit method for nonlocal diffusion equations. - Tao Sun 015; Michael K. Ng 001; Hai-Wei Sun (Math. Comput. Simul., 2025)

A Fast Iterative Solver for Multidimensional Spatial Fractional Cahn-Hilliard Equations. - Xin Huang; Dongfang Li; Xuelei Lin; Hai-Wei Sun (J. Sci. Comput., 2025)

Banded preconditioner for two-dimensional space fractional diffusion equations with nonuniform mesh. - Tao Sun 015; Tian-Yi Li 002; Hai-Wei Sun; Xiao-Jia Yang (J. Appl. Math. Comput., 2025)

Improved analysis of sine-transform-based approximate inverse preconditioner for Toeplitz-like systems. - Zhi-Wei Fang; Tian-Yi Li 002; Hai-Wei Sun; Tao Sun 015 (Appl. Math. Comput., 2026)

High-order, linearly implicit, and energy-stable methods for Cahn-Hilliard models with degenerate mobility. - Dongfang Li; Xiaoxi Li; Mianfu She; Hai-Wei Sun (Math. Comput. Simul., 2026)

Unconditionally energy stable time marching numerical schemes for the modified phase field crystal equation. - Fan Zhang; Hai-Wei Sun; Tao Sun 015; Tian-Yi Li 002 (Math. Comput. Simul., 2026)