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Author ID: sun.haiwei Recent zbMATH articles by "Sun, Haiwei"
Published as: Sun, Hai-Wei; Sun, Haiwei; Sun, Hai-wei
all top 5

Serials

11 Journal of Computational Physics
6 Computers & Mathematics with Applications
6 Journal of Scientific Computing
6 Numerical Linear Algebra with Applications
5 Applied Mathematics and Computation
5 International Journal of Computer Mathematics
4 Journal of Computational and Applied Mathematics
4 SIAM Journal on Scientific Computing
3 BIT
3 Numerical Methods for Partial Differential Equations
3 Numerical Algorithms
3 Journal of Applied Mathematics and Computing
2 Computer Methods in Applied Mechanics and Engineering
2 Computer Physics Communications
2 Mathematics and Computers in Simulation
2 Applied Numerical Mathematics
2 The Ramanujan Journal
2 Numerical Mathematics: Theory, Methods and Applications
2 East Asian Journal on Applied Mathematics
1 Discrete Mathematics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 The Fibonacci Quarterly
1 Journal of Number Theory
1 Journal of Optimization Theory and Applications
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Software. Practice & Experience
1 Studia Scientiarum Mathematicarum Hungarica
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series A
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Journal of Computational Mathematics
1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
1 Applied Mathematics Letters
1 SIAM Journal on Matrix Analysis and Applications
1 Applications of Mathematics
1 Linear Algebra and its Applications
1 Archive of Applied Mechanics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Computational and Applied Mathematics
1 The Bulletin of the Hong Kong Mathematical Society
1 East-West Journal of Mathematics
1 Acta Mathematica Sinica. English Series
1 Control Theory & Applications
1 International Journal of Numerical Analysis and Modeling
1 Iranian Journal of Fuzzy Systems
1 International Journal of Number Theory
1 Frontiers of Mathematics in China
1 Communications in Computational Physics
1 Science China. Mathematics
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

77 Publications have been cited 1,090 times in 661 Documents Cited by Year
A circulant preconditioner for fractional diffusion equations. Zbl 1297.65095
Lei, Siu-Long; Sun, Hai-Wei
144
2013
Multigrid method for fractional diffusion equations. Zbl 1243.65117
Pang, Hong-Kui; Sun, Hai-Wei
119
2012
Preconditioning techniques for diagonal-times-Toeplitz matrices in fractional diffusion equations. Zbl 1314.65112
Pan, Jianyu; Ke, Rihuan; Ng, Michael K.; Sun, Hai-Wei
67
2014
Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. Zbl 1349.65295
Gao, Guang-Hua; Sun, Hai-Wei; Sun, Zhi-Zhong
58
2015
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
51
2015
A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations. Zbl 1349.65404
Ke, Rihuan; Ng, Michael K.; Sun, Hai-Wei
49
2015
Multigrid method for ill-conditioned symmetric Toeplitz systems. Zbl 0916.65029
Chan, Raymond H.; Chang, Qian-Shun; Sun, Hai-Wei
37
1998
Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations. Zbl 1349.65104
Lu, Xin; Pang, Hong-Kui; Sun, Hai-Wei
37
2015
Shift-invert Arnoldi approximation to the Toeplitz matrix exponential. Zbl 1210.65079
Lee, Spike T.; Pang, Hong-Kui; Sun, Hai-Wei
31
2010
High-order compact scheme with multigrid local mesh refinement procedure for convection-diffusion problems. Zbl 1068.76066
Zhang, Jun; Sun, Haiwei; Zhao, Jennifer J.
28
2002
A splitting preconditioner for Toeplitz-like linear systems arising from fractional diffusion equations. Zbl 1381.65030
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
26
2017
A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations. Zbl 1038.65108
Sun, Haiwei; Zhang, Jun
26
2004
A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations. Zbl 1375.35606
Lin, Xue-lei; Ng, Michael K.; Sun, Hai-Wei
20
2017
A CCD-ADI method for unsteady convection-diffusion equations. Zbl 1360.35193
Sun, Hai-Wei; Li, Leonard Z.
20
2014
Fast numerical contour integral method for fractional diffusion equations. Zbl 1351.65058
Pang, Hong-Kui; Sun, Hai-Wei
19
2016
Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions. Zbl 1349.65294
Gao, Guang-Hua; Sun, Hai-Wei
18
2015
Combined compact difference scheme for linear second-order partial differential equations with mixed derivative. Zbl 1294.65098
Lee, Spike T.; Liu, Jun; Sun, Hai-Wei
16
2014
A high-order compact boundary value method for solving one-dimensional heat equations. Zbl 1038.65084
Sun, Haiwei; Zhang, Jun
16
2003
A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations. Zbl 1447.65022
Fang, Zhi-Wei; Sun, Hai-Wei; Wang, Hong
16
2020
Fast numerical solution for fractional diffusion equations by exponential quadrature rule. Zbl 1352.65304
Zhang, Lu; Sun, Hai-Wei; Pang, Hong-Kui
15
2015
Convergence of the multigrid method for ill-conditioned block Toeplitz systems. Zbl 0991.65033
Sun, Haiwei; Jin, Xiaoqing; Chang, Qianshun
15
2001
Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations. Zbl 1388.65052
Gao, Guang-Hua; Sun, Hai-Wei
13
2015
Improved subconvexity bounds for \(\mathrm{GL}(2)\times \mathrm{GL}(3)\) and \(\mathrm{GL}(3)\) \(L\)-functions by weighted stationary phase. Zbl 1439.11128
McKee, Mark; Sun, Haiwei; Ye, Yangbo
13
2018
Shift-invert Lanczos method for the symmetric positive semidefinite Toeplitz matrix exponential. Zbl 1249.65104
Pang, Hong-Kui; Sun, Hai-Wei
13
2011
Efficient preconditioner of one-sided space fractional diffusion equation. Zbl 1404.65136
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
12
2018
Approximate inversion method for time-fractional subdiffusion equations. Zbl 06861604
Lu, Xin; Pang, Hong-Kui; Sun, Hai-Wei; Vong, Seak-Weng
12
2018
A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations. Zbl 1348.35238
Li, Leonard Z.; Sun, Hai-Wei; Tam, Sik-Chung
12
2015
Integers represented as the sum of one prime, two squares of primes and powers of 2. Zbl 1258.11089
Lü, Guangshi; Sun, Haiwei
12
2009
Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients. Zbl 1398.65214
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
11
2018
Diophantine approximation with one prime and three squares of primes. Zbl 1281.11029
Liu, Zhixin; Sun, Haiwei
10
2013
Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. Zbl 1442.65340
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei
10
2020
Recursive-based PCG methods for Toeplitz systems with nonnegative generating functions. Zbl 1037.65036
Ng, Michael K.; Sun, Hai-Wei; Jin, Xiao-Qing
8
2003
A fourth-order compact difference scheme on face centered cubic grids with multigrid method for solving 2D convection diffusion equation. Zbl 1036.65082
Sun, Haiwei; Kang, Ning; Zhang, Jun; Carlson, Eric S.
8
2003
Measure-theoretic invariance entropy for control systems. Zbl 1410.37018
Wang, Tao; Huang, Yu; Sun, Hai-Wei
7
2019
Fast exponential time integration scheme for option pricing with jumps. Zbl 1274.91481
Lee, Spike T.; Liu, Xin; Sun, Hai-Wei
7
2012
Crank-Nicolson alternative direction implicit method for space-fractional diffusion equations with nonseparable coefficients. Zbl 1422.65162
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
7
2019
Two-step Newton-type methods for solving inverse eigenvalue problems. Zbl 06987008
Chen, Xiao Shan; Wen, Chao Tao; Sun, Hai-Wei
6
2018
Fast Laplace transform methods for free-boundary problems of fractional diffusion equations. Zbl 1381.35184
Zhou, Zhiqiang; Ma, Jingtang; Sun, Hai-wei
6
2018
A note on the convergence of the two-grid method for Toeplitz systems. Zbl 0880.65012
Sun, Haiwei; Chan, R. H.; Chang, Qianshun
6
1997
A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. Zbl 1462.65119
Zhang, Qifeng; Zhang, Lu; Sun, Hai-wei
6
2021
Circulant preconditioners for a kind of spatial fractional diffusion equations. Zbl 1437.65013
Fang, Zhi-Wei; Ng, Michael K.; Sun, Hai-Wei
6
2019
Weighted stationary phase of higher orders. Zbl 1366.41021
McKee, Mark; Sun, Haiwei; Ye, Yangbo
6
2017
A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation. Zbl 1415.65196
Lin, Xue-lei; Lu, Xin; Ng, Micheal K.; Sun, Hai-Wei
5
2016
Fast exponential time integration for pricing options in stochastic volatility jump diffusion models. Zbl 1292.91186
Pang, Hong-Kui; Sun, Hai-Wei
5
2014
Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions. Zbl 1339.65131
Liu, Jun; Huang, Yu; Sun, Haiwei; Xiao, Mingqing
4
2016
Boundary value methods with the Crank-Nicolson preconditioner for pricing options in the jump-diffusion model. Zbl 1218.65153
Yang, Shu-Ling; Lee, Spike T.; Sun, Hai-Wei
4
2011
A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains. Zbl 1438.35413
Du, Ning; Sun, Hai-Wei; Wang, Hong
4
2019
A separable preconditioner for time-space fractional Caputo-Riesz diffusion equations. Zbl 1438.65038
Lin, Xuelei; Ng, Michael K.; Sun, Haiwei
4
2018
Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection-diffusion problems. Zbl 1397.65132
Cao, Fujun; Ge, Yongbin; Sun, Hai-Wei
3
2017
An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients. Zbl 07423576
Pan, Kejia; Sun, Hai-Wei; Xu, Yuan; Xu, Yufeng
3
2021
A two-step inexact Newton-Chebyshev-like method for inverse eigenvalue problems. Zbl 1425.65056
Wen, Chao-Tao; Chen, Xiao Shan; Sun, Hai-Wei
3
2020
A numerical solution of transient torsional wave propagation in a transversely isotropic cylinder. Zbl 0885.73010
Liu, K.; Xie, S.; Sun, H.
2
1996
On fractional power moments of \(L\)-functions associated with certain cusp forms. Zbl 1247.11078
Sun, Haiwei; Lü, Guangshi
2
2010
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations. Zbl 1475.65015
Lu, Xin; Fang, Zhi-Wei; Sun, Hai-Wei
2
2021
A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations. Zbl 1466.65099
Chen, Hao; Sun, Hai-Wei
2
2021
An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients. Zbl 1463.65233
Lin, Xue-Lei; Lyu, Pin; Ng, Michael K.; Sun, Hai-Wei; Vong, Seakweng
2
2020
Boundary value methods for transient solutions of queueing networks with variant vacation policy. Zbl 1246.65020
Chan, Raymond H.; Lee, Spike T.; Sun, Hai-Wei
2
2012
A primal-dual method for the Meyer model of cartoon and texture decomposition. Zbl 07031724
Wen, You-Wei; Sun, Hai-Wei; Ng, Michael K.
2
2019
Exponential splitting for \(n\)-dimensional paraxial Helmholtz equation with high wavenumbers. Zbl 1367.35069
Sheng, Qin; Sun, Hai-Wei
2
2014
Further improvement on bounds for \(L\)-functions related to \(\mathrm{GL}(3)\). Zbl 1456.11085
Sun, Haiwei; Ye, Yangbo
2
2019
Fourth order finite difference schemes for time-space fractional sub-diffusion equations. Zbl 1443.65136
Pang, Hong-Kui; Sun, Hai-Wei
2
2016
Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids. Zbl 1375.78021
Sheng, Qin; Sun, Hai-wei
1
2016
Preconditioning techniques in Chebyshev collocation method for elliptic equations. Zbl 1408.35025
Fang, Zhi-Wei; Shen, Jie; Sun, Hai-Wei
1
2018
The ternary Goldbach-Vinogradov theorem with almost equal primes from the Beatty sequence. Zbl 1279.11099
Lü, Guangshi; Sun, Haiwei
1
2013
Prime in quadratic progressions on average. Zbl 1248.11066
Lü, Guangshi; Sun, Haiwei
1
2011
A preconditioner from Crank-Nicolson scheme for systems of LMF-based ODE code. Zbl 1185.65117
Hou, Jia-xun; Sun, Hai-wei
1
2008
A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem. Zbl 07442893
She, Mianfu; Li, Dongfang; Sun, Hai-wei
1
2022
A spatially sixth-order hybrid \(L1\)-CCD method for solving time fractional Schrödinger equations. Zbl 07332696
Zhang, Chun-Hua; Jin, Jun-Wei; Sun, Hai-Wei; Sheng, Qin
1
2021
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order. Zbl 07410095
Gu, Xian-Ming; Sun, Hai-Wei; Zhao, Yong-Liang; Zheng, Xiangcheng
1
2021
Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers’ equation. Zbl 07465275
Zhang, Qifeng; Sun, Cuicui; Fang, Zhi-Wei; Sun, Hai-Wei
1
2022
The values of additive forms at prime arguments. Zbl 1274.11157
Sun, Haiwei
1
2011
A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains. Zbl 07379331
Huang, Xin; Sun, Hai-Wei
1
2021
On the unsolvability of inverse singular value problems almost everywhere. Zbl 1411.65062
Chen, Xiao Shan; Sun, Hai-Wei
1
2019
A modified position value for communication situations and its fuzzification. Zbl 1429.91028
Li, X. H.; Sun, H.; Xu, G. J.
1
2019
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations. Zbl 07534930
Zhang, Jia-Li; Fang, Zhi-Wei; Sun, Hai-Wei
1
2022
Double first moment for \(L(\frac{1}{2}, \operatorname{Sym}^2 f \times g)\) by applying Petersson’s formula twice. Zbl 1458.11077
Sun, Haiwei; Ye, Yangbo
1
2019
High resolution viscous fingering simulation in miscible displacement using a \(p\)-adaptive discontinuous Galerkin method with algebraic multigrid preconditioner. Zbl 1416.76094
Becker, G.; Siefert, C. M.; Tuminaro, R. S.; Sun, H.; Valiveti, D. M.; Mohan, A.; Yin, J.; Huang, H.
1
2018
A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem. Zbl 07442893
She, Mianfu; Li, Dongfang; Sun, Hai-wei
1
2022
Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers’ equation. Zbl 07465275
Zhang, Qifeng; Sun, Cuicui; Fang, Zhi-Wei; Sun, Hai-Wei
1
2022
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations. Zbl 07534930
Zhang, Jia-Li; Fang, Zhi-Wei; Sun, Hai-Wei
1
2022
A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. Zbl 1462.65119
Zhang, Qifeng; Zhang, Lu; Sun, Hai-wei
6
2021
An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients. Zbl 07423576
Pan, Kejia; Sun, Hai-Wei; Xu, Yuan; Xu, Yufeng
3
2021
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations. Zbl 1475.65015
Lu, Xin; Fang, Zhi-Wei; Sun, Hai-Wei
2
2021
A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations. Zbl 1466.65099
Chen, Hao; Sun, Hai-Wei
2
2021
A spatially sixth-order hybrid \(L1\)-CCD method for solving time fractional Schrödinger equations. Zbl 07332696
Zhang, Chun-Hua; Jin, Jun-Wei; Sun, Hai-Wei; Sheng, Qin
1
2021
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order. Zbl 07410095
Gu, Xian-Ming; Sun, Hai-Wei; Zhao, Yong-Liang; Zheng, Xiangcheng
1
2021
A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains. Zbl 07379331
Huang, Xin; Sun, Hai-Wei
1
2021
A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations. Zbl 1447.65022
Fang, Zhi-Wei; Sun, Hai-Wei; Wang, Hong
16
2020
Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. Zbl 1442.65340
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei
10
2020
A two-step inexact Newton-Chebyshev-like method for inverse eigenvalue problems. Zbl 1425.65056
Wen, Chao-Tao; Chen, Xiao Shan; Sun, Hai-Wei
3
2020
An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients. Zbl 1463.65233
Lin, Xue-Lei; Lyu, Pin; Ng, Michael K.; Sun, Hai-Wei; Vong, Seakweng
2
2020
Measure-theoretic invariance entropy for control systems. Zbl 1410.37018
Wang, Tao; Huang, Yu; Sun, Hai-Wei
7
2019
Crank-Nicolson alternative direction implicit method for space-fractional diffusion equations with nonseparable coefficients. Zbl 1422.65162
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
7
2019
Circulant preconditioners for a kind of spatial fractional diffusion equations. Zbl 1437.65013
Fang, Zhi-Wei; Ng, Michael K.; Sun, Hai-Wei
6
2019
A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains. Zbl 1438.35413
Du, Ning; Sun, Hai-Wei; Wang, Hong
4
2019
A primal-dual method for the Meyer model of cartoon and texture decomposition. Zbl 07031724
Wen, You-Wei; Sun, Hai-Wei; Ng, Michael K.
2
2019
Further improvement on bounds for \(L\)-functions related to \(\mathrm{GL}(3)\). Zbl 1456.11085
Sun, Haiwei; Ye, Yangbo
2
2019
On the unsolvability of inverse singular value problems almost everywhere. Zbl 1411.65062
Chen, Xiao Shan; Sun, Hai-Wei
1
2019
A modified position value for communication situations and its fuzzification. Zbl 1429.91028
Li, X. H.; Sun, H.; Xu, G. J.
1
2019
Double first moment for \(L(\frac{1}{2}, \operatorname{Sym}^2 f \times g)\) by applying Petersson’s formula twice. Zbl 1458.11077
Sun, Haiwei; Ye, Yangbo
1
2019
Improved subconvexity bounds for \(\mathrm{GL}(2)\times \mathrm{GL}(3)\) and \(\mathrm{GL}(3)\) \(L\)-functions by weighted stationary phase. Zbl 1439.11128
McKee, Mark; Sun, Haiwei; Ye, Yangbo
13
2018
Efficient preconditioner of one-sided space fractional diffusion equation. Zbl 1404.65136
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
12
2018
Approximate inversion method for time-fractional subdiffusion equations. Zbl 06861604
Lu, Xin; Pang, Hong-Kui; Sun, Hai-Wei; Vong, Seak-Weng
12
2018
Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients. Zbl 1398.65214
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
11
2018
Two-step Newton-type methods for solving inverse eigenvalue problems. Zbl 06987008
Chen, Xiao Shan; Wen, Chao Tao; Sun, Hai-Wei
6
2018
Fast Laplace transform methods for free-boundary problems of fractional diffusion equations. Zbl 1381.35184
Zhou, Zhiqiang; Ma, Jingtang; Sun, Hai-wei
6
2018
A separable preconditioner for time-space fractional Caputo-Riesz diffusion equations. Zbl 1438.65038
Lin, Xuelei; Ng, Michael K.; Sun, Haiwei
4
2018
Preconditioning techniques in Chebyshev collocation method for elliptic equations. Zbl 1408.35025
Fang, Zhi-Wei; Shen, Jie; Sun, Hai-Wei
1
2018
High resolution viscous fingering simulation in miscible displacement using a \(p\)-adaptive discontinuous Galerkin method with algebraic multigrid preconditioner. Zbl 1416.76094
Becker, G.; Siefert, C. M.; Tuminaro, R. S.; Sun, H.; Valiveti, D. M.; Mohan, A.; Yin, J.; Huang, H.
1
2018
A splitting preconditioner for Toeplitz-like linear systems arising from fractional diffusion equations. Zbl 1381.65030
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
26
2017
A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations. Zbl 1375.35606
Lin, Xue-lei; Ng, Michael K.; Sun, Hai-Wei
20
2017
Weighted stationary phase of higher orders. Zbl 1366.41021
McKee, Mark; Sun, Haiwei; Ye, Yangbo
6
2017
Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection-diffusion problems. Zbl 1397.65132
Cao, Fujun; Ge, Yongbin; Sun, Hai-Wei
3
2017
Fast numerical contour integral method for fractional diffusion equations. Zbl 1351.65058
Pang, Hong-Kui; Sun, Hai-Wei
19
2016
A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation. Zbl 1415.65196
Lin, Xue-lei; Lu, Xin; Ng, Micheal K.; Sun, Hai-Wei
5
2016
Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions. Zbl 1339.65131
Liu, Jun; Huang, Yu; Sun, Haiwei; Xiao, Mingqing
4
2016
Fourth order finite difference schemes for time-space fractional sub-diffusion equations. Zbl 1443.65136
Pang, Hong-Kui; Sun, Hai-Wei
2
2016
Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids. Zbl 1375.78021
Sheng, Qin; Sun, Hai-wei
1
2016
Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. Zbl 1349.65295
Gao, Guang-Hua; Sun, Hai-Wei; Sun, Zhi-Zhong
58
2015
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
51
2015
A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations. Zbl 1349.65404
Ke, Rihuan; Ng, Michael K.; Sun, Hai-Wei
49
2015
Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations. Zbl 1349.65104
Lu, Xin; Pang, Hong-Kui; Sun, Hai-Wei
37
2015
Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions. Zbl 1349.65294
Gao, Guang-Hua; Sun, Hai-Wei
18
2015
Fast numerical solution for fractional diffusion equations by exponential quadrature rule. Zbl 1352.65304
Zhang, Lu; Sun, Hai-Wei; Pang, Hong-Kui
15
2015
Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations. Zbl 1388.65052
Gao, Guang-Hua; Sun, Hai-Wei
13
2015
A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations. Zbl 1348.35238
Li, Leonard Z.; Sun, Hai-Wei; Tam, Sik-Chung
12
2015
Preconditioning techniques for diagonal-times-Toeplitz matrices in fractional diffusion equations. Zbl 1314.65112
Pan, Jianyu; Ke, Rihuan; Ng, Michael K.; Sun, Hai-Wei
67
2014
A CCD-ADI method for unsteady convection-diffusion equations. Zbl 1360.35193
Sun, Hai-Wei; Li, Leonard Z.
20
2014
Combined compact difference scheme for linear second-order partial differential equations with mixed derivative. Zbl 1294.65098
Lee, Spike T.; Liu, Jun; Sun, Hai-Wei
16
2014
Fast exponential time integration for pricing options in stochastic volatility jump diffusion models. Zbl 1292.91186
Pang, Hong-Kui; Sun, Hai-Wei
5
2014
Exponential splitting for \(n\)-dimensional paraxial Helmholtz equation with high wavenumbers. Zbl 1367.35069
Sheng, Qin; Sun, Hai-Wei
2
2014
A circulant preconditioner for fractional diffusion equations. Zbl 1297.65095
Lei, Siu-Long; Sun, Hai-Wei
144
2013
Diophantine approximation with one prime and three squares of primes. Zbl 1281.11029
Liu, Zhixin; Sun, Haiwei
10
2013
The ternary Goldbach-Vinogradov theorem with almost equal primes from the Beatty sequence. Zbl 1279.11099
Lü, Guangshi; Sun, Haiwei
1
2013
Multigrid method for fractional diffusion equations. Zbl 1243.65117
Pang, Hong-Kui; Sun, Hai-Wei
119
2012
Fast exponential time integration scheme for option pricing with jumps. Zbl 1274.91481
Lee, Spike T.; Liu, Xin; Sun, Hai-Wei
7
2012
Boundary value methods for transient solutions of queueing networks with variant vacation policy. Zbl 1246.65020
Chan, Raymond H.; Lee, Spike T.; Sun, Hai-Wei
2
2012
Shift-invert Lanczos method for the symmetric positive semidefinite Toeplitz matrix exponential. Zbl 1249.65104
Pang, Hong-Kui; Sun, Hai-Wei
13
2011
Boundary value methods with the Crank-Nicolson preconditioner for pricing options in the jump-diffusion model. Zbl 1218.65153
Yang, Shu-Ling; Lee, Spike T.; Sun, Hai-Wei
4
2011
Prime in quadratic progressions on average. Zbl 1248.11066
Lü, Guangshi; Sun, Haiwei
1
2011
The values of additive forms at prime arguments. Zbl 1274.11157
Sun, Haiwei
1
2011
Shift-invert Arnoldi approximation to the Toeplitz matrix exponential. Zbl 1210.65079
Lee, Spike T.; Pang, Hong-Kui; Sun, Hai-Wei
31
2010
On fractional power moments of \(L\)-functions associated with certain cusp forms. Zbl 1247.11078
Sun, Haiwei; Lü, Guangshi
2
2010
Integers represented as the sum of one prime, two squares of primes and powers of 2. Zbl 1258.11089
Lü, Guangshi; Sun, Haiwei
12
2009
A preconditioner from Crank-Nicolson scheme for systems of LMF-based ODE code. Zbl 1185.65117
Hou, Jia-xun; Sun, Hai-wei
1
2008
A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations. Zbl 1038.65108
Sun, Haiwei; Zhang, Jun
26
2004
A high-order compact boundary value method for solving one-dimensional heat equations. Zbl 1038.65084
Sun, Haiwei; Zhang, Jun
16
2003
Recursive-based PCG methods for Toeplitz systems with nonnegative generating functions. Zbl 1037.65036
Ng, Michael K.; Sun, Hai-Wei; Jin, Xiao-Qing
8
2003
A fourth-order compact difference scheme on face centered cubic grids with multigrid method for solving 2D convection diffusion equation. Zbl 1036.65082
Sun, Haiwei; Kang, Ning; Zhang, Jun; Carlson, Eric S.
8
2003
High-order compact scheme with multigrid local mesh refinement procedure for convection-diffusion problems. Zbl 1068.76066
Zhang, Jun; Sun, Haiwei; Zhao, Jennifer J.
28
2002
Convergence of the multigrid method for ill-conditioned block Toeplitz systems. Zbl 0991.65033
Sun, Haiwei; Jin, Xiaoqing; Chang, Qianshun
15
2001
Multigrid method for ill-conditioned symmetric Toeplitz systems. Zbl 0916.65029
Chan, Raymond H.; Chang, Qian-Shun; Sun, Hai-Wei
37
1998
A note on the convergence of the two-grid method for Toeplitz systems. Zbl 0880.65012
Sun, Haiwei; Chan, R. H.; Chang, Qianshun
6
1997
A numerical solution of transient torsional wave propagation in a transversely isotropic cylinder. Zbl 0885.73010
Liu, K.; Xie, S.; Sun, H.
2
1996
all top 5

Cited by 800 Authors

50 Sun, Haiwei
36 Wang, Hong
20 Gu, Xian-Ming
19 Lei, Siulong
17 Ng, Michael Kwok-Po
17 Pan, Kejia
17 Sun, Zhizhong
16 Serra-Capizzano, Stefano
16 Zhao, Yongliang
15 Huang, Ting-Zhu
15 Li, Hong
15 Liu, Yang
12 Donatelli, Marco
12 Zheng, Xiangcheng
11 Zhang, Jun
10 Chen, Minghua
10 Fang, Zhiwei
10 Fu, Hongfei
10 Ge, Yongbin
10 Lin, Xuelei
10 Vong, Seakweng
9 Jia, Jinhong
9 Jian, Huanyan
9 Liu, Fawang
9 Liu, Zhixin
9 Pang, Hong-Kui
9 Zhang, Guofeng
8 Chen, Xu
8 Dehghan Takht Fooladi, Mehdi
8 Deng, Weihua
8 Hao, Zhaopeng
8 Lin, Fu-Rong
8 Mazza, Mariarosa
8 Ye, Yangbo
8 Yin, Baoli
8 Zhao, Xile
7 Cheng, Aijie
7 He, Dongdong
7 Jin, Xiaoqing
7 Wu, Shulin
6 Dai, Ruxin
6 Jiang, Zhaolin
6 Lyu, Pin
6 Qu, Wei
6 She, Zihang
6 Wang, Jungang
6 Wang, Yin
6 Xiao, Mingqing
6 Zhang, Chengjian
6 Zhang, Jiwei
5 Ding, Deng
5 Feng, Libo
5 Gao, Guanghua
5 Hu, Hongling
5 Li, Xiaoli
5 Liu, Huan
5 Ostermann, Alexander
5 Ran, Yuhong
5 Sheng, Qin
5 Turner, Ian William
5 Wang, Jinfeng
5 Wang, Wenfei
5 Zhang, Jiali
5 Zhang, Zhimin
5 Zhao, Zhi
5 Zhou, Zhi
4 Cao, Wanrong
4 Chen, Huanzhen
4 Chen, Ke
4 Du, Yanwei
4 Feng, Xinlong
4 Hon, Sean Y.
4 Huang, Yu
4 Huckle, Thomas Kilian
4 Jin, Bangti
4 Li, Houbiao
4 Liu, Jun
4 Lu, Guangshi
4 Lu, Kang-Ya
4 Luo, Weihua
4 Ma, Tingfu
4 Machado, José António Tenreiro
4 Moghaderi, Hamid
4 Ren, Lei
4 Rui, Hongxing
4 Wang, Yuanming
4 Wu, Gang
4 Xu, Yang
4 Xu, Yufeng
4 Yang, Xiaozhong
4 Zhang, Qifeng
4 Zhao, Jingjun
4 Zhao, Meng
4 Zhou, Yongtao
4 Zhou, Zhiqiang
3 Alikhanov, Anatoly A.
3 Bai, Zhongzhi
3 Bao, Weimin
3 Bini, Dario Andrea
3 Chen, Fang
...and 700 more Authors
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Cited in 113 Serials

49 Journal of Scientific Computing
48 Computers & Mathematics with Applications
45 Journal of Computational Physics
40 Applied Mathematics and Computation
39 Numerical Algorithms
33 Applied Numerical Mathematics
28 Journal of Computational and Applied Mathematics
28 International Journal of Computer Mathematics
20 Advances in Difference Equations
18 Computational and Applied Mathematics
13 BIT
13 Applied Mathematics Letters
11 East Asian Journal on Applied Mathematics
10 SIAM Journal on Matrix Analysis and Applications
10 SIAM Journal on Scientific Computing
9 Numerical Methods for Partial Differential Equations
9 Linear Algebra and its Applications
9 Advances in Computational Mathematics
8 Journal of Number Theory
8 Mathematical Problems in Engineering
8 Journal of Applied Mathematics and Computing
7 Calcolo
7 Numerical Linear Algebra with Applications
7 International Journal of Number Theory
7 Communications on Applied Mathematics and Computation
6 Mathematics and Computers in Simulation
6 Applied Mathematical Modelling
6 Engineering Analysis with Boundary Elements
6 The Ramanujan Journal
6 Abstract and Applied Analysis
5 Numerische Mathematik
5 Fractional Calculus & Applied Analysis
5 Communications in Nonlinear Science and Numerical Simulation
5 Communications in Computational Physics
4 Discrete and Continuous Dynamical Systems. Series B
4 Frontiers of Mathematics in China
3 Chaos, Solitons and Fractals
3 Nonlinear Dynamics
3 Taiwanese Journal of Mathematics
3 Science China. Mathematics
3 Journal of Applied Analysis and Computation
3 Journal of Function Spaces
3 Computational Methods for Differential Equations
3 Electronic Research Archive
2 Computer Methods in Applied Mechanics and Engineering
2 Computer Physics Communications
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 Mathematics of Computation
2 Acta Arithmetica
2 Numerical Functional Analysis and Optimization
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Transactions of the American Mathematical Society
2 Acta Mathematica Hungarica
2 Computational Mechanics
2 Japan Journal of Industrial and Applied Mathematics
2 Journal of Inverse and Ill-Posed Problems
2 Journal of Vibration and Control
2 Discrete Dynamics in Nature and Society
2 Computational Methods in Applied Mathematics
2 Journal of Applied Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Discrete and Continuous Dynamical Systems. Series S
2 Numerical Mathematics: Theory, Methods and Applications
2 Advances in Mathematical Physics
2 Advances in Applied Mathematics and Mechanics
2 Open Mathematics
2 AIMS Mathematics
1 Linear and Multilinear Algebra
1 Rocky Mountain Journal of Mathematics
1 Wave Motion
1 Automatica
1 Canadian Mathematical Bulletin
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematika
1 Monatshefte für Mathematik
1 Opsearch
1 Proceedings of the American Mathematical Society
1 Theoretical Computer Science
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 Bulletin of the Iranian Mathematical Society
1 Journal of the Nigerian Mathematical Society
1 Acta Mathematicae Applicatae Sinica. English Series
1 Applications of Mathematics
1 Journal of Global Optimization
1 Journal of Dynamics and Differential Equations
1 Fractals
1 Discrete and Continuous Dynamical Systems
1 Computing and Visualization in Science
1 Journal of the European Mathematical Society (JEMS)
1 Qualitative Theory of Dynamical Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Integers
1 International Journal of Computational Methods
1 Inverse Problems and Imaging
...and 13 more Serials
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Cited in 38 Fields

571 Numerical analysis (65-XX)
373 Partial differential equations (35-XX)
96 Real functions (26-XX)
69 Linear and multilinear algebra; matrix theory (15-XX)
48 Number theory (11-XX)
35 Fluid mechanics (76-XX)
33 Ordinary differential equations (34-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Approximations and expansions (41-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
13 Probability theory and stochastic processes (60-XX)
11 Systems theory; control (93-XX)
11 Information and communication theory, circuits (94-XX)
10 Integral equations (45-XX)
7 Computer science (68-XX)
6 Special functions (33-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Mechanics of deformable solids (74-XX)
6 Operations research, mathematical programming (90-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Integral transforms, operational calculus (44-XX)
4 Operator theory (47-XX)
4 Biology and other natural sciences (92-XX)
3 Optics, electromagnetic theory (78-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Difference and functional equations (39-XX)
2 Differential geometry (53-XX)
2 Quantum theory (81-XX)
2 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)

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