Shuhuang Xiang

发表

Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels

Guidong Liu, Shuhuang Xiang, S. Xiang, 2019, Appl. Math. Comput..

Efficient Filon-type methods for (∫abf(x), eiωg(x), dx)

Shuhuang Xiang, S. Xiang, 2007, Numerische Mathematik.

Efficient computation of highly oscillatory integrals with Hankel kernel

Shuhuang Xiang, Zhenhua Xu, Gradimir V. Milovanovic, 2015, Appl. Math. Comput..

Fast multipole methods for approximating a function from sampling values

Guidong Liu, Shuhuang Xiang, S. Xiang, 2017, Numerical Algorithms.

Error bounds for approximation in Chebyshev points

Xiaojun Chen, Shuhuang Xiang, Haiyong Wang, 2010, Numerische Mathematik.

The Fast Implementation of Higher Order Hermite-Fejér Interpolation

Shuhuang Xiang, Guo He, S. Xiang, 2014, SIAM J. Sci. Comput..

Fast computation of the spectral differentiation by the fast multipole method

Shuhuang Xiang, Yan Tian, Guidong Liu, 2019, Comput. Math. Appl..

On the calculation of highly oscillatory integrals with an algebraic singularity

Shuhuang Xiang, Hongchao Kang, S. Xiang, 2010, Appl. Math. Comput..

Perturbation Bounds of P-Matrix Linear Complementarity Problems

Xiaojun Chen, Shuhuang Xiang, Xiaojun Chen, 2007, SIAM J. Optim..

On efficient computation of highly oscillatory retarded potential integral equations

Bin Li, Guidong Liu, Shuhuang Xiang, 2018, Int. J. Comput. Math..

On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels

Shuhuang Xiang, Bin Li, S. Xiang, 2019, Int. J. Comput. Math..

On the Convergence Rates of Gauss and Clenshaw-Curtis Quadrature for Functions of Limited Regularity

Shuhuang Xiang, Folkmar Bornemann, 2012, SIAM J. Numer. Anal..

On Error Bounds for Orthogonal Polynomial Expansions and Gauss-Type Quadrature

Shuhuang Xiang, S. Xiang, 2012, SIAM J. Numer. Anal..

Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels

Shuhuang Xiang, Qinghua Wu, S. Xiang, 2013, Appl. Math. Comput..

Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities

Guidong Liu, Shuhuang Xiang, S. Xiang, 2020, Numerische Mathematik.

On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity

Shuhuang Xiang, Hongmin Mo, S. Xiang, 2011, Appl. Math. Comput..

Efficient integration for a class of highly oscillatory integrals

Shuhuang Xiang, Hongchao Kang, S. Xiang, 2011, Appl. Math. Comput..

Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind

Shuhuang Xiang, S. Xiang, 2014, Appl. Math. Comput..

Hermite-Type Collocation Methods to Solve Volterra Integral Equations with Highly Oscillatory Bessel Kernels

Shuhuang Xiang, Guo He, Chunhua Fang, 2019, Symmetry.

Computation of integrals with oscillatory and singular integrands using Chebyshev expansions

Shuhuang Xiang, Guo He, Hongchao Kang, 2013, J. Comput. Appl. Math..

On the evaluation of Cauchy principal value integrals of oscillatory functions

Shuhuang Xiang, Haiyong Wang, S. Xiang, 2010, J. Comput. Appl. Math..

Fast integration of highly oscillatory integrals with exotic oscillators

Shuhuang Xiang, Haiyong Wang, S. Xiang, 2009, Math. Comput..

On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity

Shuhuang Xiang, S. Xiang, 2014, SIAM J. Numer. Anal..

An improved error bound on Gauss quadrature

Shuhuang Xiang, 2016, Appl. Math. Lett..

Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals

Shuhuang Xiang, Ruyun Chen, S. Xiang, 2009, Appl. Math. Comput..

Modified asymptotic orders of the direct Filon method for a class of Volterra integral equations

Shuhuang Xiang, Chunhua Fang, Junjie Ma, 2015, J. Comput. Appl. Math..

On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels

Shuhuang Xiang, Kaixian He, S. Xiang, 2013, Appl. Math. Comput..

On the Convergence Rate of Clenshaw-Curtis Quadrature for Jacobi Weight Applied to Functions with Algebraic Endpoint Singularities

Shuhuang Xiang, Ahlam Arama, Suliman Khan, 2020, Symmetry.

A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels

Shuhuang Xiang, Zhenhua Xu, Guo He, 2016, J. Comput. Appl. Math..

Approximation to Logarithmic-Cauchy Type Singular Integrals with Highly Oscillatory Kernels

Shuhuang Xiang, Saira, S. Xiang, 2019, Symmetry.

On generalized quadrature rules for fast oscillatory integrals

Shuhuang Xiang, Weihua Gui, S. Xiang, 2008, Appl. Math. Comput..

Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications

Shuhuang Xiang, Zhenhua Xu, S. Xiang, 2017, Int. J. Comput. Math..

On convergence rates of prolate interpolation and differentiation

Shuhuang Xiang, Yan Tian, 2019, Appl. Math. Lett..

On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals

Shuhuang Xiang, Yeol Je Cho, Guo He, 2015, Adv. Comput. Math..

On evaluation of oscillatory transforms from position to momentum space

Shuhuang Xiang, Ruyun Chen, Xuesong Kuang, 2019, Appl. Math. Comput..

Least-Element Time-Stepping Methods for Simulation of Linear Networks with Ideal Switches

Xiaojun Chen, Shuhuang Xiang, Yang Zhou, 2019, Circuits Syst. Signal Process..

Computation of Error Bounds for P-matrix Linear Complementarity Problems

Xiaojun Chen, Shuhuang Xiang, Xiaojun Chen, 2006, Math. Program..

Levin methods for highly oscillatory integrals with singularities

Shuhuang Xiang, Yinkun Wang, S. Xiang, 2019, Science China Mathematics.

Implosion of the Argentinian submarine ARA San Juan S-42 undersea: Modeling and simulation

Shuhuang Xiang, Jun-Min Wang, Goong Chen, 2020, Commun. Nonlinear Sci. Numer. Simul..

New preconditioners based on symmetric-triangular decomposition for saddle point problems

Shuhuang Xiang, Wen Li, Xiao-Fei Peng, 2011, Computing.

Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method

Shuhuang Xiang, Guo He, Enwen Zhu, 2016, Int. J. Comput. Math..

On fast algorithms for the evaluation of Legendre coefficients

Shuhuang Xiang, S. Xiang, 2013, Appl. Math. Lett..

Solving Ordinary Differential Equations by Simplex Integrals

Shuhuang Xiang, Yongxiong Zhou, S. Xiang, 2009, NAA.

Efficient evaluation of oscillatory Bessel Hilbert transforms

Shuhuang Xiang, Zhenhua Xu, Guo He, 2014, J. Comput. Appl. Math..

On the evaluation of highly oscillatory finite Hankel transform using special functions

Shuhuang Xiang, Zhenhua Xu, 2015, Numerical Algorithms.

On van der Corput-type lemmas for Bessel and Airy transforms and applications

Shuhuang Xiang, S. Xiang, 2019, J. Comput. Appl. Math..

On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity

Shuhuang Xiang, S. Xiang, 2018, Appl. Math. Lett..

Convergence rates of spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities pdf

Shuhuang Xiang, S. Xiang, 2020, SIAM J. Numer. Anal..

On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel

Shuhuang Xiang, Hongchao Kang, Junjie Ma, 2013, Appl. Math. Lett..

Solving Stiff Ordinary Differential Equation With One Simultaneous Implicit Equation

Shuhuang Xiang, Yongxiong Zhou, 2008, CSC.

On fast multipole methods for Volterra integral equations with highly oscillatory kernels

Shuhuang Xiang, Qingyang Zhang, S. Xiang, 2019, J. Comput. Appl. Math..

Numerical Quadrature for Bessel Transformations with High Oscillations

Shuhuang Xiang, S. Xiang, 2009, NAA.

Uniform approximations to Cauchy principal value integrals of oscillatory functions

Shuhuang Xiang, Haiyong Wang, S. Xiang, 2009, Appl. Math. Comput..

Computation of generalized differentials in nonlinear complementarity problems

Xiaojun Chen, Shuhuang Xiang, 2011, Comput. Optim. Appl..

A parameter method for computing highly oscillatory integrals

Shuhuang Xiang, Ruyun Chen, Yongxiong Zhou, 2009, Comput. Math. Appl..

Implicit solution function of P0 and Z matrix linear complementarity constraints

Xiaojun Chen, Shuhuang Xiang, Xiaojun Chen, 2011, Math. Program..

Numerical evaluation of a class of highly oscillatory integrals involving Airy functions

Shuhuang Xiang, Zhenhua Xu, S. Xiang, 2014, Appl. Math. Comput..

Newton iterations in implicit time-stepping scheme for differential linear complementarity systems

Xiaojun Chen, Shuhuang Xiang, Xiaojun Chen, 2013, Math. Program..

An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application

Shuhuang Xiang, Guo He, 2015, J. Comput. Appl. Math..

Fast linear barycentric rational interpolation for singular functions via scaled transformations pdf

Shuhuang Xiang, Desong Kong, S. Xiang, 2021, ArXiv.

On optimal convergence rates of a two-dimensional fast multipole method

Guidong Liu, Shuhuang Xiang, 2018, Appl. Math. Lett..

Correction to "Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number"

Shuhuang Xiang, 2010, SIAM J. Numer. Anal..

Efficient quadrature of highly oscillatory integrals with algebraic singularities

Shuhuang Xiang, Hongchao Kang, S. Xiang, 2013, J. Comput. Appl. Math..

Sparse solutions of linear complementarity problems

Xiaojun Chen, Shuhuang Xiang, 2016, Math. Program..

A Collocation Boundary Value Method for Linear Volterra Integral Equations

Shuhuang Xiang, Junjie Ma, S. Xiang, 2017, J. Sci. Comput..

Sparse Solutions of a Class of Constrained Optimization Problems

Shuhuang Xiang, Xiaojun Chen, Lei Yang, 2021, Mathematics of Operations Research.

On the Convergence Rate of Hermite-Fejér Interpolation

Shuhuang Xiang, Guo He, 2020 .

Efficient quadrature for highly oscillatory integrals involving critical points

Shuhuang Xiang, S. Xiang, 2007 .

Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel

Guidong Liu, Shuhuang Xiang, Bin Li, 2019, Comput. Appl. Math..

Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels

Shuhuang Xiang, Hermann Brunner, H. Brunner, 2013 .

Numerical quadrature for Bessel transformations

Shuhuang Xiang, Weihua Gui, S. Xiang, 2008 .

On Fast and Stable Implementation of Clenshaw-Curtis and Fejér-Type Quadrature Rules

Shuhuang Xiang, Guo He, Haiyong Wang, 2014 .

Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel

Shuhuang Xiang, Haiyong Wang, 2011 .

Numerical analysis of a fast integration method for highly oscillatory functions

Shuhuang Xiang, S. Xiang, 2007 .

On uniform approximations to hypersingular finite-part integrals

Shuhuang Xiang, Zhenhua Xu, S. Xiang, 2016 .

Clenshaw–Curtis–Filon-type methods for highly oscillatory Bessel transforms and applications

Shuhuang Xiang, Yeol Je Cho, Hermann Brunner, 2011 .

Letter to the editor: on quadrature of Bessel transformations

Shuhuang Xiang, S. Xiang, 2005 .

On an inequality for the Hadamard product of an M-matrix or an H-matrix and its inverse☆

Shuhuang Xiang, 2003 .

Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature

Shuhuang Xiang, S. Xiang, 2012 .

On the Filon and Levin methods for highly oscillatory integral

Shuhuang Xiang, S. Xiang, 2007 .