Shuhuang Xiang

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 50

Top Topics

Integral Equation

Efficient Computation

Error Estimates

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

Appl. Math. Lett.

Publications

Yali Zhang, Shuhuang Xiang, Desong Kong
Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials. J. Comput. Appl. Math. 443 (2024)
Kelong Zhao, Shuhuang Xiang
Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants. CoRR (2024)
Shunfeng Yang, Shuhuang Xiang
Local behaviors of Fourier expansions for functions of limited regularities. Adv. Comput. Math. 50 (3) (2024)
Shuhuang Xiang, Shunfeng Yang
The root-exponential convergence of lightning plus polynomial approximation on corner domains. CoRR (2024)
Jiangli Liang, Shuhuang Xiang
A kernel-independent uniform fast multipole method based on barycentric rational interpolation. Numer. Algorithms 93 (4) (2023)
Shuhuang Xiang, Qingyang Zhang
Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel. Appl. Math. Comput. 456 (2023)
Yali Zhang, Shuhuang Xiang, Desong Kong
On optimal convergence rates of Laguerre polynomial expansions for piecewise functions. J. Comput. Appl. Math. 425 (2023)
Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang
Pointwise error estimates and local superconvergence of Jacobi expansions. CoRR (2023)
Zhaosong Lu, Xiaorui Li, Shuhuang Xiang
Exact penalization for cardinality and rank-constrained optimization problems via partial regularization. Optim. Methods Softw. 38 (2) (2023)
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 (2023)
Guidong Liu, Shuhuang Xiang
An efficient quadrature rule for weakly and strongly singular integrals. Appl. Math. Comput. 447 (2023)
Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang
Pointwise error estimates and local superconvergence of Jacobi expansions. Math. Comput. 92 (342) (2023)
Shuhuang Xiang, Shunfeng Yang, Yanghao Wu
. CoRR (2023)
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 (2022)
Jiangli Liang, Shuhuang Xiang
). Comput. Math. Appl. 118 (2022)
Yinkun Wang, Shuhuang Xiang
Fast and stable augmented Levin methods for highly oscillatory and singular integrals. Math. Comput. 91 (336) (2022)
Lei Yang, Xiaojun Chen, Shuhuang Xiang
Sparse Solutions of a Class of Constrained Optimization Problems. Math. Oper. Res. 47 (3) (2022)
Desong Kong, Shuhuang Xiang
Fast linear barycentric rational interpolation for singular functions via scaled transformations. CoRR (2021)
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 (2021)
Shuhuang Xiang
Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities. SIAM J. Numer. Anal. 59 (3) (2021)
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 (2021)
Shuhuang Xiang
Convergence rates of spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities. CoRR (2020)
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) (2020)
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) (2020)
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 (2020)
Shuhuang Xiang, Guidong Liu
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. Numerische Mathematik 145 (1) (2020)
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) (2020)
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)
Guidong Liu, Shuhuang Xiang
Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels. Appl. Math. Comput. 340 (2019)
Chunhua Fang, Guo He, Shuhuang Xiang
Hermite-Type Collocation Methods to Solve Volterra Integral Equations with Highly Oscillatory Bessel Kernels. Symmetry 11 (2) (2019)
Yinkun Wang, Shuhuang Xiang
Levin methods for highly oscillatory integrals with singularities. CoRR (2019)
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) (2019)
Yan Tian, Shuhuang Xiang, Guidong Liu
Fast computation of the spectral differentiation by the fast multipole method. Comput. Math. Appl. 78 (1) (2019)
Shuhuang Xiang
On van der Corput-type lemmas for Bessel and Airy transforms and applications. J. Comput. Appl. Math. 351 (2019)
Saira, Shuhuang Xiang
Approximation to Logarithmic-Cauchy Type Singular Integrals with Highly Oscillatory Kernels. Symmetry 11 (6) (2019)
Yan Tian, Shuhuang Xiang
On convergence rates of prolate interpolation and differentiation. Appl. Math. Lett. 94 (2019)
Ruyun Chen, Shuhuang Xiang, Xuesong Kuang
On evaluation of oscillatory transforms from position to momentum space. Appl. Math. Comput. (2019)
Qingyang Zhang, Shuhuang Xiang
On fast multipole methods for Volterra integral equations with highly oscillatory kernels. J. Comput. Appl. Math. 348 (2019)
Shuhuang Xiang, Guidong Liu
On optimal convergence rates of a two-dimensional fast multipole method. Appl. Math. Lett. 76 (2018)
Shuhuang Xiang, Bin Li, Guidong Liu
On efficient computation of highly oscillatory retarded potential integral equations. Int. J. Comput. Math. 95 (11) (2018)
Shuhuang Xiang
On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity. Appl. Math. Lett. 84 (2018)
Junjie Ma, Shuhuang Xiang
A Collocation Boundary Value Method for Linear Volterra Integral Equations. J. Sci. Comput. 71 (1) (2017)
Zhenhua Xu, Shuhuang Xiang
Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications. Int. J. Comput. Math. 94 (6) (2017)
Guidong Liu, Shuhuang Xiang
Fast multipole methods for approximating a function from sampling values. Numer. Algorithms 76 (3) (2017)
Zhenhua Xu, Shuhuang Xiang
On the evaluation of highly oscillatory finite Hankel transform using special functions. Numer. Algorithms 72 (1) (2016)
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 (2016)
Shuhuang Xiang
An improved error bound on Gauss quadrature. Appl. Math. Lett. 58 (2016)
Xiaojun Chen, Shuhuang Xiang
Sparse solutions of linear complementarity problems. Math. Program. 159 (1-2) (2016)
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) (2016)
Shuhuang Xiang
On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity. SIAM J. Numer. Anal. 54 (4) (2016)
Zhenhua Xu, Gradimir V. Milovanovic, Shuhuang Xiang
Efficient computation of highly oscillatory integrals with Hankel kernel. Appl. Math. Comput. 261 (2015)
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 (2015)
Shuhuang Xiang, Guo He
The Fast Implementation of Higher Order Hermite-Fejér Interpolation. SIAM J. Sci. Comput. 37 (4) (2015)
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 (2015)
Shuhuang Xiang, Guo He, Yeol Je Cho
On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Adv. Comput. Math. 41 (3) (2015)
Shuhuang Xiang
Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind. Appl. Math. Comput. 232 (2014)
Zhenhua Xu, Shuhuang Xiang
Numerical evaluation of a class of highly oscillatory integrals involving Airy functions. Appl. Math. Comput. 246 (2014)
Zhenhua Xu, Shuhuang Xiang, Guo He
Efficient evaluation of oscillatory Bessel Hilbert transforms. J. Comput. Appl. Math. 258 (2014)
Shuhuang Xiang, Qinghua Wu
Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels. Appl. Math. Comput. 223 (2013)
Hongchao Kang, Shuhuang Xiang
Efficient quadrature of highly oscillatory integrals with algebraic singularities. J. Comput. Appl. Math. 237 (1) (2013)
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) (2013)
Shuhuang Xiang
On fast algorithms for the evaluation of Legendre coefficients. Appl. Math. Lett. 26 (2) (2013)
Xiaojun Chen, Shuhuang Xiang
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Math. Program. 138 (1-2) (2013)
Hongchao Kang, Shuhuang Xiang, Guo He
Computation of integrals with oscillatory and singular integrands using Chebyshev expansions. J. Comput. Appl. Math. 242 (2013)
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) (2013)
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) (2012)
Haiyong Wang, Shuhuang Xiang
On the convergence rates of Legendre approximation. Math. Comput. 81 (278) (2012)
Shuhuang Xiang
On Error Bounds for Orthogonal Polynomial Expansions and Gauss-Type Quadrature. SIAM J. Numer. Anal. 50 (3) (2012)
Shuhuang Xiang, Xiaojun Chen
Computation of generalized differentials in nonlinear complementarity problems. Comput. Optim. Appl. 50 (2) (2011)
Xiao-Fei Peng, Wen Li, Shuhuang Xiang
New preconditioners based on symmetric-triangular decomposition for saddle point problems. Computing 93 (1) (2011)
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) (2011)
Hongchao Kang, Shuhuang Xiang
Efficient integration for a class of highly oscillatory integrals. Appl. Math. Comput. 218 (7) (2011)
Xiaojun Chen, Shuhuang Xiang
and Z matrix linear complementarity constraints. Math. Program. 128 (1-2) (2011)
Shuhuang Xiang, Xiaojun Chen, Haiyong Wang
Error bounds for approximation in Chebyshev points. Numerische Mathematik 116 (3) (2010)
Haiyong Wang, Shuhuang Xiang
On the evaluation of Cauchy principal value integrals of oscillatory functions. J. Comput. Appl. Math. 234 (1) (2010)
Shuhuang Xiang, Haiyong Wang
Fast integration of highly oscillatory integrals with exotic oscillators. Math. Comput. 79 (270) (2010)
Hongchao Kang, Shuhuang Xiang
On the calculation of highly oscillatory integrals with an algebraic singularity. Appl. Math. Comput. 217 (8) (2010)
Shuhuang Xiang
Correction to "Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number". SIAM J. Numer. Anal. 47 (6) (2010)
Haiyong Wang, Shuhuang Xiang
Uniform approximations to Cauchy principal value integrals of oscillatory functions. Appl. Math. Comput. 215 (5) (2009)
Ruyun Chen, Shuhuang Xiang
Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals. Appl. Math. Comput. 215 (1) (2009)
Ruyun Chen, Shuhuang Xiang, Yongxiong Zhou
A parameter method for computing highly oscillatory integrals. Comput. Math. Appl. 58 (9) (2009)
Yongxiong Zhou, Shuhuang Xiang
Solving Stiff Ordinary Differential Equation With One Simultaneous Implicit Equation. CSC (2008)
Yongxiong Zhou, Shuhuang Xiang
Solving Ordinary Differential Equations by Simplex Integrals. NAA (2008)
Shuhuang Xiang, Weihua Gui
On generalized quadrature rules for fast oscillatory integrals. Appl. Math. Comput. 197 (1) (2008)
Shuhuang Xiang
Numerical Quadrature for Bessel Transformations with High Oscillations. NAA (2008)
Xiaojun Chen, Shuhuang Xiang
Perturbation Bounds of P-Matrix Linear Complementarity Problems. SIAM J. Optim. 18 (4) (2007)
Shuhuang Xiang
, dx). Numerische Mathematik 105 (4) (2007)
Xiaojun Chen, Shuhuang Xiang
Computation of Error Bounds for P-matrix Linear Complementarity Problems. Math. Program. 106 (3) (2006)