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Journal Articles
- 2024
[j84]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: 128575 (2024)- [j83]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: 128592 (2024) - [j82]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): 3 (2024) - [j81]Tao Sun, Hai-Wei Sun:
Stiff-cut leap-frog scheme for fractional Laplacian diffusion equations. J. Comput. Appl. Math. 451: 116021 (2024) - [j80]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: 232-249 (2024) - [j79]Tao Sun, Hai-Wei Sun:
A stiff-cut splitting technique for stiff semi-linear systems of differential equations. Numer. Algorithms 95(3): 1387-1412 (2024) - 2023
- [j78]Xin Huang, Dongfang Li, Hai-Wei Sun:
Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn-Hilliard equations. Appl. Math. Lett. 138: 108510 (2023) - [j77]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): 362 (2023) - [j76]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: 107-120 (2023) - [j75]Lu Zhang, Qifeng Zhang, Hai-Wei Sun:
Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation. Comput. Math. Appl. 150: 211-228 (2023) - [j74]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): 491-516 (2023) - [j73]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: 115148 (2023) - [j72]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): 71 (2023) - [j71]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): 17 (2023) - [j70]Dongfang Li, Xiaoxi Li, Hai-Wei Sun:
Optimal Error Estimates of SAV Crank-Nicolson Finite Element Method for the Coupled Nonlinear Schrödinger Equation. J. Sci. Comput. 97(3) (2023) - [j69]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: 437-452 (2023) - [j68]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): 795-813 (2023) - [j67]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) - 2022
- [j66]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: 126824 (2022) - [j65]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: 127095 (2022) - [j64]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: 127273 (2022) - [j63]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: 127347 (2022) - [j62]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: 175-184 (2022) - [j61]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: 218-226 (2022) - [j60]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): 323-347 (2022) - [j59]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: 113883 (2022) - [j58]Dongfang Li, Mianfu She, Hai-Wei Sun, Xiaoqiang Yan:
A Novel Discrete Fractional Grönwall-Type Inequality and Its Application in Pointwise-in-Time Error Estimates. J. Sci. Comput. 91(1): 27 (2022) - [j57]Xin Huang, Dongfang Li, Hai-Wei Sun, Fan Zhang:
Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations. J. Sci. Comput. 92(2): 41 (2022) - [j56]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): 45 (2022) - [j55]Mianfu She, Dongfang Li, Hai-Wei Sun:
A transformed L1 method for solving the multi-term time-fractional diffusion problem. Math. Comput. Simul. 193: 584-606 (2022) - [j54]Hong-Kui Pang, Hai-Hua Qin, Hai-Wei Sun:
All-at-once method for variable-order time fractional diffusion equations. Numer. Algorithms 90(1): 31-57 (2022) - [j53]Hao Chen, Hai-Wei Sun:
Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations. Numer. Algorithms 90(2): 749-771 (2022) - 2021
- [j52]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: 126091 (2021) - [j51]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: 107270 (2021) - [j50]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: 18-29 (2021) - [j49]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): 673-700 (2021) - [j48]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: 113355 (2021) - [j47]Hong-Kui Pang, Hai-Wei Sun:
A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation. J. Sci. Comput. 87(1): 15 (2021) - [j46]Hao Chen, Hai-Wei Sun:
A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations. J. Sci. Comput. 87(1): 30 (2021) - [j45]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): 651-677 (2021) - 2020
- [j44]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): 1443-1458 (2020) - [j43]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): 2050227:1-2050227:17 (2020) - [j42]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): 523-545 (2020) - [j41]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): 449-472 (2020) - [j40]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): 59 (2020) - 2019
- [j39]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) - [j38]Zhi-Wei Fang, Michael K. Ng, Hai-Wei Sun:
Circulant preconditioners for a kind of spatial fractional diffusion equations. Numer. Algorithms 82(2): 729-747 (2019) - [j37]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) - [j36]Tao Wang, Yu Huang, Hai-Wei Sun:
Measure-Theoretic Invariance Entropy for Control Systems. SIAM J. Control. Optim. 57(1): 310-333 (2019) - [j35]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): 997-1019 (2019) - 2018
- [j34]Yufeng Xu, Hai-Wei Sun, Qin Sheng:
On variational properties of balanced central fractional derivatives. Int. J. Comput. Math. 95(6-7): 1195-1209 (2018) - [j33]Zhiqiang Zhou, Jingtang Ma, Hai-Wei Sun:
Fast Laplace Transform Methods for Free-Boundary Problems of Fractional Diffusion Equations. J. Sci. Comput. 74(1): 49-69 (2018) - [j32]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): 1102-1127 (2018) - [j31]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) - [j30]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) - 2017
- [j29]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): 2356-2372 (2017) - [j28]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: 69-86 (2017) - [j27]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): 1580-1614 (2017) - 2016
- [j26]Hong-Kui Pang, Hai-Wei Sun:
Fourth order finite difference schemes for time-space fractional sub-diffusion equations. Comput. Math. Appl. 71(6): 1287-1302 (2016) - [j25]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: 204-218 (2016) - [j24]Qin Sheng, Hai-Wei Sun:
Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids. J. Comput. Phys. 325: 259-271 (2016) - [j23]Hong-Kui Pang, Hai-Wei Sun:
Fast Numerical Contour Integral Method for Fractional Diffusion Equations. J. Sci. Comput. 66(1): 41-66 (2016) - 2015
- [j22]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: 38-48 (2015) - [j21]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: 510-528 (2015) - [j20]Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun:
Some high-order difference schemes for the distributed-order differential equations. J. Comput. Phys. 298: 337-359 (2015) - [j19]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: 520-538 (2015) - [j18]Lu Zhang, Hai-Wei Sun, Hong-Kui Pang:
Fast numerical solution for fractional diffusion equations by exponential quadrature rule. J. Comput. Phys. 299: 130-143 (2015) - [j17]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: 203-211 (2015) - [j16]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): 866-882 (2015) - 2014
- [j15]Qin Sheng, Hai-Wei Sun:
Exponential splitting for n-dimensional paraxial Helmholtz equation with high wavenumbers. Comput. Math. Appl. 68(10): 1341-1354 (2014) - [j14]Hai-Wei Sun, Leonard Z. Li:
A CCD-ADI method for unsteady convection-diffusion equations. Comput. Phys. Commun. 185(3): 790-797 (2014) - [j13]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): 2163-2184 (2014) - [j12]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: 23-37 (2014) - [j11]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) - 2013
- [j10]Siu-Long Lei, Hai-Wei Sun:
A circulant preconditioner for fractional diffusion equations. J. Comput. Phys. 242: 715-725 (2013) - 2012
- [j9]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): 3948-3955 (2012) - [j8]Hong-Kui Pang, Hai-Wei Sun:
Multigrid method for fractional diffusion equations. J. Comput. Phys. 231(2): 693-703 (2012) - [j7]Spike T. Lee, Xin Liu, Hai-Wei Sun:
Fast exponential time integration scheme for option pricing with jumps. Numer. Linear Algebra Appl. 19(1): 87-101 (2012) - 2011
- [j6]Shu-Ling Yang, Jian-Feng Cai, Hai-Wei Sun:
Multigrid algorithm from cyclic reduction for Markovian queueing networks. Appl. Math. Comput. 217(16): 6990-7000 (2011) - [j5]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): 1730-1748 (2011) - [j4]Hong-Kui Pang, Hai-Wei Sun:
Shift-invert Lanczos method for the symmetric positive semidefinite Toeplitz matrix exponential. Numer. Linear Algebra Appl. 18(3): 603-614 (2011) - 2010
- [j3]Spike T. Lee, Hong-Kui Pang, Hai-Wei Sun:
Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential. SIAM J. Sci. Comput. 32(2): 774-792 (2010) - 2003
- [j2]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): 1507-1529 (2003) - 1998
- [j1]Raymond H. Chan, Qianshun Chang, Hai-Wei Sun:
Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems. SIAM J. Sci. Comput. 19(2): 516-529 (1998)
Conference and Workshop Papers
- 2013
- [c2]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: 144-151 - 1996
- [c1]Raymond H. Chan, Chun-pong Cheung, Hai-Wei Sun:
Fast Algorithms for Problems on Thermal Tomography. WNAA 1996: 90-97
Informal and Other Publications
- 2023
- [i8]Tao Sun, Hai-Wei Sun:
Splitting ADI scheme for fractional Laplacian wave equations. CoRR abs/2312.06206 (2023) - 2022
- [i7]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 abs/2209.08437 (2022) - 2021
- [i6]Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun:
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations. CoRR abs/2101.08125 (2021) - [i5]Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun:
Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations. CoRR abs/2102.01371 (2021) - [i4]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 abs/2102.02960 (2021) - [i3]Xin Huang, Hai-Wei Sun:
A preconditioner based on sine transform for two-dimensional Riesz space factional diffusion equations in convex domains. CoRR abs/2102.11576 (2021) - [i2]Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun:
Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions. CoRR abs/2108.06101 (2021) - 2020
- [i1]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 abs/2002.11978 (2020)
Coauthor Index
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