Computation of Error Bounds for P-matrix Linear Complementarity Problems. - Xiaojun Chen 001; Shuhuang Xiang (Math. Program., 2006)

Efficient Filon-type methods for (∫abf(x), eiωg(x), dx). - Shuhuang Xiang (Numerische Mathematik, 2007)

Perturbation Bounds of P-Matrix Linear Complementarity Problems. - Xiaojun Chen 001; Shuhuang Xiang (SIAM J. Optim., 2007)

Solving Stiff Ordinary Differential Equation With One Simultaneous Implicit Equation. - Yongxiong Zhou; Shuhuang Xiang (CSC, 2008)

Numerical Quadrature for Bessel Transformations with High Oscillations. - Shuhuang Xiang (NAA, 2008)

Solving Ordinary Differential Equations by Simplex Integrals. - Yongxiong Zhou; Shuhuang Xiang (NAA, 2008)

On generalized quadrature rules for fast oscillatory integrals. - Shuhuang Xiang; Weihua Gui 001 (Appl. Math. Comput., 2008)

Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals. - Ruyun Chen; Shuhuang Xiang (Appl. Math. Comput., 2009)

Uniform approximations to Cauchy principal value integrals of oscillatory functions. - Haiyong Wang; Shuhuang Xiang (Appl. Math. Comput., 2009)

A parameter method for computing highly oscillatory integrals. - Ruyun Chen; Shuhuang Xiang; Yongxiong Zhou (Comput. Math. Appl., 2009)

On the calculation of highly oscillatory integrals with an algebraic singularity. - Hongchao Kang; Shuhuang Xiang (Appl. Math. Comput., 2010)

On the evaluation of Cauchy principal value integrals of oscillatory functions. - Haiyong Wang; Shuhuang Xiang (J. Comput. Appl. Math., 2010)

Fast integration of highly oscillatory integrals with exotic oscillators. - Shuhuang Xiang; Haiyong Wang (Math. Comput., 2010)

Error bounds for approximation in Chebyshev points. - Shuhuang Xiang; Xiaojun Chen 001; Haiyong Wang (Numerische Mathematik, 2010)

Correction to "Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number". - Shuhuang Xiang (SIAM J. Numer. Anal., 2010)

Efficient integration for a class of highly oscillatory integrals. - Hongchao Kang; Shuhuang Xiang (Appl. Math. Comput., 2011)

On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity. - Hongmin Mo; Shuhuang Xiang (Appl. Math. Comput., 2011)

Computation of generalized differentials in nonlinear complementarity problems. - Shuhuang Xiang; Xiaojun Chen 001 (Comput. Optim. Appl., 2011)

New preconditioners based on symmetric-triangular decomposition for saddle point problems. - Xiao-Fei Peng; Wen Li 006; Shuhuang Xiang (Computing, 2011)

Implicit solution function of P0 and Z matrix linear complementarity constraints. - Xiaojun Chen 001; Shuhuang Xiang (Math. Program., 2011)

On the convergence rates of Legendre approximation. - Haiyong Wang; Shuhuang Xiang (Math. Comput., 2012)

On Error Bounds for Orthogonal Polynomial Expansions and Gauss-Type Quadrature. - Shuhuang Xiang (SIAM J. Numer. Anal., 2012)

On the Convergence Rates of Gauss and Clenshaw-Curtis Quadrature for Functions of Limited Regularity. - Shuhuang Xiang; Folkmar Bornemann (SIAM J. Numer. Anal., 2012)

On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels. - Shuhuang Xiang; Kaixian He (Appl. Math. Comput., 2013)

Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels. - Shuhuang Xiang; Qinghua Wu (Appl. Math. Comput., 2013)

On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel. - Junjie Ma 003; Shuhuang Xiang; Hongchao Kang (Appl. Math. Lett., 2013)

On fast algorithms for the evaluation of Legendre coefficients. - Shuhuang Xiang (Appl. Math. Lett., 2013)

Efficient quadrature of highly oscillatory integrals with algebraic singularities. - Hongchao Kang; Shuhuang Xiang (J. Comput. Appl. Math., 2013)

Computation of integrals with oscillatory and singular integrands using Chebyshev expansions. - Hongchao Kang; Shuhuang Xiang; Guo He (J. Comput. Appl. Math., 2013)

Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. - Xiaojun Chen 001; Shuhuang Xiang (Math. Program., 2013)

Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind. - Shuhuang Xiang (Appl. Math. Comput., 2014)

Numerical evaluation of a class of highly oscillatory integrals involving Airy functions. - Zhenhua Xu; Shuhuang Xiang (Appl. Math. Comput., 2014)

Efficient evaluation of oscillatory Bessel Hilbert transforms. - Zhenhua Xu; Shuhuang Xiang; Guo He (J. Comput. Appl. Math., 2014)

On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. - Shuhuang Xiang; Guo He; Yeol Je Cho (Adv. Comput. Math., 2015)

Efficient computation of highly oscillatory integrals with Hankel kernel. - Zhenhua Xu; Gradimir V. Milovanovic; Shuhuang Xiang (Appl. Math. Comput., 2015)

An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application. - Guo He; Shuhuang Xiang (J. Comput. Appl. Math., 2015)

Modified asymptotic orders of the direct Filon method for a class of Volterra integral equations. - Junjie Ma 003; Chunhua Fang; Shuhuang Xiang (J. Comput. Appl. Math., 2015)

The Fast Implementation of Higher Order Hermite-Fejér Interpolation. - Shuhuang Xiang; Guo He (SIAM J. Sci. Comput., 2015)

An improved error bound on Gauss quadrature. - Shuhuang Xiang (Appl. Math. Lett., 2016)

Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method. - Guo He; Shuhuang Xiang; Enwen Zhu (Int. J. Comput. Math., 2016)

A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels. - Guo He; Shuhuang Xiang; Zhenhua Xu (J. Comput. Appl. Math., 2016)

Sparse solutions of linear complementarity problems. - Xiaojun Chen 001; Shuhuang Xiang (Math. Program., 2016)

On the evaluation of highly oscillatory finite Hankel transform using special functions. - Zhenhua Xu; Shuhuang Xiang (Numer. Algorithms, 2016)

On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity. - Shuhuang Xiang (SIAM J. Numer. Anal., 2016)

Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications. - Zhenhua Xu; Shuhuang Xiang (Int. J. Comput. Math., 2017)

A Collocation Boundary Value Method for Linear Volterra Integral Equations. - Junjie Ma 003; Shuhuang Xiang (J. Sci. Comput., 2017)

Fast multipole methods for approximating a function from sampling values. - Guidong Liu; Shuhuang Xiang (Numer. Algorithms, 2017)

On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity. - Shuhuang Xiang (Appl. Math. Lett., 2018)

On optimal convergence rates of a two-dimensional fast multipole method. - Shuhuang Xiang; Guidong Liu (Appl. Math. Lett., 2018)

On efficient computation of highly oscillatory retarded potential integral equations. - Shuhuang Xiang; Bin Li 076; Guidong Liu (Int. J. Comput. Math., 2018)

On evaluation of oscillatory transforms from position to momentum space. - Ruyun Chen; Shuhuang Xiang; Xuesong Kuang (Appl. Math. Comput., 2019)

Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels. - Guidong Liu; Shuhuang Xiang (Appl. Math. Comput., 2019)

On convergence rates of prolate interpolation and differentiation. - Yan Tian; Shuhuang Xiang (Appl. Math. Lett., 2019)

Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel. - Bin Li 076; Shuhuang Xiang; Guidong Liu (Comput. Appl. Math., 2019)

Fast computation of the spectral differentiation by the fast multipole method. - Yan Tian; Shuhuang Xiang; Guidong Liu (Comput. Math. Appl., 2019)

Levin methods for highly oscillatory integrals with singularities. - Yinkun Wang; Shuhuang Xiang (CoRR, 2019)

Least-Element Time-Stepping Methods for Simulation of Linear Networks with Ideal Switches. - Shuhuang Xiang; Xiaojun Chen 001; Yang Zhou 018 (Circuits Syst. Signal Process., 2019)

On van der Corput-type lemmas for Bessel and Airy transforms and applications. - Shuhuang Xiang (J. Comput. Appl. Math., 2019)

On fast multipole methods for Volterra integral equations with highly oscillatory kernels. - Qingyang Zhang; Shuhuang Xiang (J. Comput. Appl. Math., 2019)

Hermite-Type Collocation Methods to Solve Volterra Integral Equations with Highly Oscillatory Bessel Kernels. - Chunhua Fang; Guo He; Shuhuang Xiang (Symmetry, 2019)

Approximation to Logarithmic-Cauchy Type Singular Integrals with Highly Oscillatory Kernels. - Saira; Shuhuang Xiang (Symmetry, 2019)

Implosion of the Argentinian submarine ARA San Juan S-42 undersea: Modeling and simulation. - 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; et al. (Commun. Nonlinear Sci. Numer. Simul., 2020)

On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels. - Bin Li 076; Shuhuang Xiang (Int. J. Comput. Math., 2020)

Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. - Shuhuang Xiang; Guidong Liu (Numerische Mathematik, 2020)

On the Convergence Rate of Clenshaw-Curtis Quadrature for Jacobi Weight Applied to Functions with Algebraic Endpoint Singularities. - Ahlam Arama; Shuhuang Xiang; Suliman Khan (Symmetry, 2020)

Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control. - Hua-Cheng Zhou; Bao-Zhu Guo; Shuhuang Xiang (IEEE Trans. Autom. Control., 2020)

A new constraint preconditioner based on the PGSS iteration method for non-Hermitian generalized saddle point problems. - Hongyu Wu; Shuhuang Xiang (Appl. Math. Comput., 2021)

Coupled crash mechanics and biomechanics of aircraft structures and passengers. - Goong Chen; Jing Yang 048; Alexey Sergeev; Mingwei Wang; Chunqiu Wei; Jean Yeh; Philip J. Morris; Noah J. Fournier; Yining Chen; Xingong Cheng; Donghui Yang; Shuhuang Xiang; et al. (Commun. Nonlinear Sci. Numer. Simul., 2021)

Fast linear barycentric rational interpolation for singular functions via scaled transformations. - Desong Kong; Shuhuang Xiang (CoRR, 2021)

Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities. - Shuhuang Xiang (SIAM J. Numer. Anal., 2021)

A fast multipole method for Fredholm integral equations of the second kind with general kernel K(x, y)=K(x - y). - Jiangli Liang; Shuhuang Xiang (Comput. Math. Appl., 2022)

Fast and stable augmented Levin methods for highly oscillatory and singular integrals. - Yinkun Wang; Shuhuang Xiang (Math. Comput., 2022)

Sparse Solutions of a Class of Constrained Optimization Problems. - Lei Yang 030; Xiaojun Chen 001; Shuhuang Xiang (Math. Oper. Res., 2022)

Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel. - Shuhuang Xiang; Qingyang Zhang (Appl. Math. Comput., 2023)

Barycentric Interpolation Based on Equilibrium Potential. - Kelong Zhao; Shuhuang Xiang (CoRR, 2023)

On the best convergence rate of lightning plus polynomial approximation for xα. - Shuhuang Xiang; Shunfeng Yang; Yanghao Wu (CoRR, 2023)

Pointwise error estimates and local superconvergence of Jacobi expansions. - Shuhuang Xiang; Desong Kong; Guidong Liu; Li-Lian Wang (Math. Comput., 2023)

Exact penalization for cardinality and rank-constrained optimization problems via partial regularization. - Zhaosong Lu; Xiaorui Li; Shuhuang Xiang (Optim. Methods Softw., 2023)

An efficient quadrature rule for weakly and strongly singular integrals. - Guidong Liu; Shuhuang Xiang (Appl. Math. Comput., 2023)

On optimal convergence rates of Laguerre polynomial expansions for piecewise functions. - Yali Zhang; Shuhuang Xiang; Desong Kong (J. Comput. Appl. Math., 2023)

An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel. - Desong Kong; Shuhuang Xiang; Hongyu Wu (J. Comput. Appl. Math., 2023)

A kernel-independent uniform fast multipole method based on barycentric rational interpolation. - Jiangli Liang; Shuhuang Xiang (Numer. Algorithms, 2023)

The root-exponential convergence of lightning plus polynomial approximation on corner domains. - Shuhuang Xiang; Shunfeng Yang (CoRR, 2024)

Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants. - Kelong Zhao; Shuhuang Xiang (CoRR, 2024)

Local behaviors of Fourier expansions for functions of limited regularities. - Shunfeng Yang; Shuhuang Xiang (Adv. Comput. Math., 2024)

Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials. - Yali Zhang; Shuhuang Xiang; Desong Kong (J. Comput. Appl. Math., 2024)

Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems. - Desong Kong; Jie Shen 001; Li-Lian Wang; Shuhuang Xiang (Adv. Comput. Math., 2024)

Augmented Levin methods for vector-valued highly oscillatory integrals with exotic oscillators and turning points. - Yinkun Wang; Shuhuang Xiang (J. Comput. Appl. Math., 2025)

The root-exponential convergence of lightning plus polynomial approximation on corner domains (II). - Shuhuang Xiang; Shunfeng Yang; Yanghao Wu (CoRR, 2025)