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2020 – today
- 2024
[j78]Shunfeng Yang
, Shuhuang Xiang:
Local behaviors of Fourier expansions for functions of limited regularities. Adv. Comput. Math. 50(3): 47 (2024)- [j77]Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang:
Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems. Adv. Comput. Math. 50(5): 97 (2024) - [j76]Yali Zhang, Shuhuang Xiang, Desong Kong:
Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials. J. Comput. Appl. Math. 443: 115749 (2024) - [i9]Shuhuang Xiang, Shunfeng Yang:
The root-exponential convergence of lightning plus polynomial approximation on corner domains. CoRR abs/2401.03659 (2024) - [i8]Kelong Zhao, Shuhuang Xiang:
Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants. CoRR abs/2401.12664 (2024) - 2023
- [j75]Guidong Liu, Shuhuang Xiang:
An efficient quadrature rule for weakly and strongly singular integrals. Appl. Math. Comput. 447: 127901 (2023) - [j74]Shuhuang Xiang, Qingyang Zhang:
Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel. Appl. Math. Comput. 456: 128112 (2023) - [j73]Yali Zhang, Shuhuang Xiang, Desong Kong:
On optimal convergence rates of Laguerre polynomial expansions for piecewise functions. J. Comput. Appl. Math. 425: 115053 (2023) - [j72]Desong Kong, Shuhuang Xiang, Hongyu Wu:
An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel. J. Comput. Appl. Math. 427: 115101 (2023) - [j71]Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang:
Pointwise error estimates and local superconvergence of Jacobi expansions. Math. Comput. 92(342): 1747-1778 (2023) - [j70]Jiangli Liang, Shuhuang Xiang:
A kernel-independent uniform fast multipole method based on barycentric rational interpolation. Numer. Algorithms 93(4): 1595-1611 (2023) - [j69]Zhaosong Lu, Xiaorui Li, Shuhuang Xiang:
Exact penalization for cardinality and rank-constrained optimization problems via partial regularization. Optim. Methods Softw. 38(2): 412-433 (2023) - [i7]Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang:
Pointwise error estimates and local superconvergence of Jacobi expansions. CoRR abs/2302.05824 (2023) - [i6]Kelong Zhao, Shuhuang Xiang:
Barycentric Interpolation Based on Equilibrium Potential. CoRR abs/2303.15222 (2023) - [i5]Shuhuang Xiang, Shunfeng Yang, Yanghao Wu:
On the best convergence rate of lightning plus polynomial approximation for xα. CoRR abs/2312.16116 (2023) - 2022
- [j68]Jiangli Liang, Shuhuang Xiang:
A fast multipole method for Fredholm integral equations of the second kind with general kernel K(x, y)=K(x - y). Comput. Math. Appl. 118: 237-247 (2022) - [j67]Yinkun Wang, Shuhuang Xiang:
Fast and stable augmented Levin methods for highly oscillatory and singular integrals. Math. Comput. 91(336): 1893-1923 (2022) - [j66]Lei Yang, Xiaojun Chen, Shuhuang Xiang:
Sparse Solutions of a Class of Constrained Optimization Problems. Math. Oper. Res. 47(3): 1932-1956 (2022) - [i4]Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang:
Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems. CoRR abs/2211.10599 (2022) - 2021
- [j65]Hongyu Wu, Shuhuang Xiang:
A new constraint preconditioner based on the PGSS iteration method for non-Hermitian generalized saddle point problems. Appl. Math. Comput. 396: 125864 (2021) - [j64]Goong Chen, Jing Yang, Alexey Sergeev, Mingwei Wang, Chunqiu Wei, Jean Yeh, Philip J. Morris, Noah J. Fournier, Yining Chen, Xingong Cheng, Donghui Yang, Shuhuang Xiang, Marlan O. Scully:
Coupled crash mechanics and biomechanics of aircraft structures and passengers. Commun. Nonlinear Sci. Numer. Simul. 101: 105850 (2021) - [j63]Shuhuang Xiang:
Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities. SIAM J. Numer. Anal. 59(3): 1374-1398 (2021) - [i3]Desong Kong, Shuhuang Xiang:
Fast linear barycentric rational interpolation for singular functions via scaled transformations. CoRR abs/2101.07949 (2021) - 2020
- [j62]Chunqiu Wei, Goong Chen, Alexey Sergeev, Jean Yeh, Jianhua Chen, Jun-Min Wang, Shaochun Ji, Jiao Wang, Donghui Yang, Shuhuang Xiang, Xiaomin Cao, Wenying Lu, Marlan O. Scully:
Implosion of the Argentinian submarine ARA San Juan S-42 undersea: Modeling and simulation. Commun. Nonlinear Sci. Numer. Simul. 91: 105397 (2020) - [j61]Bin Li, Shuhuang Xiang:
On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels. Int. J. Comput. Math. 97(7): 1391-1411 (2020) - [j60]Shuhuang Xiang, Guidong Liu:
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. Numerische Mathematik 145(1): 117-148 (2020) - [j59]Ahlam Arama, Shuhuang Xiang, Suliman Khan:
On the Convergence Rate of Clenshaw-Curtis Quadrature for Jacobi Weight Applied to Functions with Algebraic Endpoint Singularities. Symmetry 12(5): 716 (2020) - [j58]Hua-Cheng Zhou, Bao-Zhu Guo, Shuhuang Xiang:
Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control. IEEE Trans. Autom. Control. 65(5): 1940-1955 (2020) - [i2]Shuhuang Xiang:
Convergence rates of spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities. CoRR abs/2006.01522 (2020)
2010 – 2019
- 2019
- [j57]Guidong Liu, Shuhuang Xiang:
Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels. Appl. Math. Comput. 340: 251-267 (2019) - [j56]Ruyun Chen, Shuhuang Xiang, Xuesong Kuang:
On evaluation of oscillatory transforms from position to momentum space. Appl. Math. Comput. 344-345: 183-190 (2019) - [j55]Yan Tian, Shuhuang Xiang:
On convergence rates of prolate interpolation and differentiation. Appl. Math. Lett. 94: 250-256 (2019) - [j54]Bin Li, Shuhuang Xiang, Guidong Liu:
Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel. Comput. Appl. Math. 38(3) (2019) - [j53]Yan Tian, Shuhuang Xiang, Guidong Liu:
Fast computation of the spectral differentiation by the fast multipole method. Comput. Math. Appl. 78(1): 240-253 (2019) - [j52]Shuhuang Xiang, Xiaojun Chen, Yang Zhou:
Least-Element Time-Stepping Methods for Simulation of Linear Networks with Ideal Switches. Circuits Syst. Signal Process. 38(4): 1432-1451 (2019) - [j51]Qingyang Zhang, Shuhuang Xiang:
On fast multipole methods for Volterra integral equations with highly oscillatory kernels. J. Comput. Appl. Math. 348: 535-554 (2019) - [j50]Shuhuang Xiang:
On van der Corput-type lemmas for Bessel and Airy transforms and applications. J. Comput. Appl. Math. 351: 179-185 (2019) - [j49]Chunhua Fang, Guo He, Shuhuang Xiang:
Hermite-Type Collocation Methods to Solve Volterra Integral Equations with Highly Oscillatory Bessel Kernels. Symmetry 11(2): 168 (2019) - [j48]Saira, Shuhuang Xiang:
Approximation to Logarithmic-Cauchy Type Singular Integrals with Highly Oscillatory Kernels. Symmetry 11(6): 728 (2019) - [i1]Yinkun Wang, Shuhuang Xiang:
Levin methods for highly oscillatory integrals with singularities. CoRR abs/1912.09698 (2019) - 2018
- [j47]Shuhuang Xiang, Guidong Liu:
On optimal convergence rates of a two-dimensional fast multipole method. Appl. Math. Lett. 76: 74-80 (2018) - [j46]Shuhuang Xiang:
On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity. Appl. Math. Lett. 84: 1-7 (2018) - [j45]Shuhuang Xiang, Bin Li, Guidong Liu:
On efficient computation of highly oscillatory retarded potential integral equations. Int. J. Comput. Math. 95(11): 2240-2255 (2018) - 2017
- [j44]Zhenhua Xu, Shuhuang Xiang:
Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications. Int. J. Comput. Math. 94(6): 1123-1137 (2017) - [j43]Junjie Ma, Shuhuang Xiang:
A Collocation Boundary Value Method for Linear Volterra Integral Equations. J. Sci. Comput. 71(1): 1-20 (2017) - [j42]Guidong Liu, Shuhuang Xiang:
Fast multipole methods for approximating a function from sampling values. Numer. Algorithms 76(3): 727-743 (2017) - 2016
- [j41]Shuhuang Xiang:
An improved error bound on Gauss quadrature. Appl. Math. Lett. 58: 42-48 (2016) - [j40]Guo He, Shuhuang Xiang, Enwen Zhu:
Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method. Int. J. Comput. Math. 93(1): 83-107 (2016) - [j39]Guo He, Shuhuang Xiang, Zhenhua Xu:
A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels. J. Comput. Appl. Math. 300: 354-368 (2016) - [j38]Xiaojun Chen, Shuhuang Xiang:
Sparse solutions of linear complementarity problems. Math. Program. 159(1-2): 539-556 (2016) - [j37]Zhenhua Xu, Shuhuang Xiang:
On the evaluation of highly oscillatory finite Hankel transform using special functions. Numer. Algorithms 72(1): 37-56 (2016) - [j36]Shuhuang Xiang:
On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity. SIAM J. Numer. Anal. 54(4): 2081-2113 (2016) - 2015
- [j35]Shuhuang Xiang, Guo He, Yeol Je Cho:
On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Adv. Comput. Math. 41(3): 573-597 (2015) - [j34]Zhenhua Xu, Gradimir V. Milovanovic, Shuhuang Xiang:
Efficient computation of highly oscillatory integrals with Hankel kernel. Appl. Math. Comput. 261: 312-322 (2015) - [j33]Guo He, Shuhuang Xiang:
An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application. J. Comput. Appl. Math. 280: 1-13 (2015) - [j32]Junjie Ma, Chunhua Fang, Shuhuang Xiang:
Modified asymptotic orders of the direct Filon method for a class of Volterra integral equations. J. Comput. Appl. Math. 281: 120-125 (2015) - [j31]Shuhuang Xiang, Guo He:
The Fast Implementation of Higher Order Hermite-Fejér Interpolation. SIAM J. Sci. Comput. 37(4) (2015) - 2014
- [j30]Shuhuang Xiang:
Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind. Appl. Math. Comput. 232: 944-954 (2014) - [j29]Zhenhua Xu, Shuhuang Xiang:
Numerical evaluation of a class of highly oscillatory integrals involving Airy functions. Appl. Math. Comput. 246: 54-63 (2014) - [j28]Zhenhua Xu, Shuhuang Xiang, Guo He:
Efficient evaluation of oscillatory Bessel Hilbert transforms. J. Comput. Appl. Math. 258: 57-66 (2014) - 2013
- [j27]Shuhuang Xiang, Kaixian He:
On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels. Appl. Math. Comput. 219(9): 4884-4891 (2013) - [j26]Shuhuang Xiang, Qinghua Wu:
Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels. Appl. Math. Comput. 223: 34-44 (2013) - [j25]Shuhuang Xiang:
On fast algorithms for the evaluation of Legendre coefficients. Appl. Math. Lett. 26(2): 194-200 (2013) - [j24]Junjie Ma, Shuhuang Xiang, Hongchao Kang:
On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel. Appl. Math. Lett. 26(7): 699-705 (2013) - [j23]Hongchao Kang, Shuhuang Xiang:
Efficient quadrature of highly oscillatory integrals with algebraic singularities. J. Comput. Appl. Math. 237(1): 576-588 (2013) - [j22]Hongchao Kang, Shuhuang Xiang, Guo He:
Computation of integrals with oscillatory and singular integrands using Chebyshev expansions. J. Comput. Appl. Math. 242: 141-156 (2013) - [j21]Xiaojun Chen, Shuhuang Xiang:
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Math. Program. 138(1-2): 579-606 (2013) - 2012
- [j20]Haiyong Wang, Shuhuang Xiang:
On the convergence rates of Legendre approximation. Math. Comput. 81(278): 861-877 (2012) - [j19]Shuhuang Xiang:
On Error Bounds for Orthogonal Polynomial Expansions and Gauss-Type Quadrature. SIAM J. Numer. Anal. 50(3): 1240-1263 (2012) - [j18]Shuhuang Xiang, Folkmar Bornemann:
On the Convergence Rates of Gauss and Clenshaw-Curtis Quadrature for Functions of Limited Regularity. SIAM J. Numer. Anal. 50(5): 2581-2587 (2012) - 2011
- [j17]Hongmin Mo, Shuhuang Xiang:
On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity. Appl. Math. Comput. 217(22): 9105-9110 (2011) - [j16]Hongchao Kang, Shuhuang Xiang:
Efficient integration for a class of highly oscillatory integrals. Appl. Math. Comput. 218(7): 3553-3564 (2011) - [j15]Shuhuang Xiang, Xiaojun Chen:
Computation of generalized differentials in nonlinear complementarity problems. Comput. Optim. Appl. 50(2): 403-423 (2011) - [j14]Xiao-Fei Peng, Wen Li, Shuhuang Xiang:
New preconditioners based on symmetric-triangular decomposition for saddle point problems. Computing 93(1): 27-46 (2011) - [j13]Xiaojun Chen, Shuhuang Xiang:
Implicit solution function of P0 and Z matrix linear complementarity constraints. Math. Program. 128(1-2): 1-18 (2011) - 2010
- [j12]Hongchao Kang, Shuhuang Xiang:
On the calculation of highly oscillatory integrals with an algebraic singularity. Appl. Math. Comput. 217(8): 3890-3897 (2010) - [j11]Haiyong Wang, Shuhuang Xiang:
On the evaluation of Cauchy principal value integrals of oscillatory functions. J. Comput. Appl. Math. 234(1): 95-100 (2010) - [j10]Shuhuang Xiang, Haiyong Wang:
Fast integration of highly oscillatory integrals with exotic oscillators. Math. Comput. 79(270): 829-844 (2010) - [j9]Shuhuang Xiang, Xiaojun Chen, Haiyong Wang:
Error bounds for approximation in Chebyshev points. Numerische Mathematik 116(3): 463-491 (2010) - [j8]Shuhuang Xiang:
Correction to "Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number". SIAM J. Numer. Anal. 47(6): 4793-4795 (2010)
2000 – 2009
- 2009
- [j7]Ruyun Chen, Shuhuang Xiang:
Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals. Appl. Math. Comput. 215(1): 78-84 (2009) - [j6]Haiyong Wang, Shuhuang Xiang:
Uniform approximations to Cauchy principal value integrals of oscillatory functions. Appl. Math. Comput. 215(5): 1886-1894 (2009) - [j5]Ruyun Chen, Shuhuang Xiang, Yongxiong Zhou:
A parameter method for computing highly oscillatory integrals. Comput. Math. Appl. 58(9): 1830-1837 (2009) - 2008
- [j4]Shuhuang Xiang, Weihua Gui:
On generalized quadrature rules for fast oscillatory integrals. Appl. Math. Comput. 197(1): 60-75 (2008) - [c3]Yongxiong Zhou, Shuhuang Xiang:
Solving Stiff Ordinary Differential Equation With One Simultaneous Implicit Equation. CSC 2008: 329-333 - [c2]Shuhuang Xiang:
Numerical Quadrature for Bessel Transformations with High Oscillations. NAA 2008: 588-595 - [c1]Yongxiong Zhou, Shuhuang Xiang:
Solving Ordinary Differential Equations by Simplex Integrals. NAA 2008: 628-633 - 2007
- [j3]Shuhuang Xiang:
Efficient Filon-type methods for (∫abf(x), eiωg(x), dx). Numerische Mathematik 105(4): 633-658 (2007) - [j2]Xiaojun Chen, Shuhuang Xiang:
Perturbation Bounds of P-Matrix Linear Complementarity Problems. SIAM J. Optim. 18(4): 1250-1265 (2007) - 2006
- [j1]Xiaojun Chen, Shuhuang Xiang:
Computation of Error Bounds for P-matrix Linear Complementarity Problems. Math. Program. 106(3): 513-525 (2006)
Coauthor Index
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