Shuhuang Xiang

Orcid: 0000-0002-6727-6170

According to our database1, Shuhuang Xiang authored at least 87 papers between 2006 and 2024.

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Bibliography

2024
Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials.
J. Comput. Appl. Math., June, 2024

Local behaviors of Fourier expansions for functions of limited regularities.
Adv. Comput. Math., June, 2024

Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants.
CoRR, 2024

The root-exponential convergence of lightning plus polynomial approximation on corner domains.
CoRR, 2024

2023
A kernel-independent uniform fast multipole method based on barycentric rational interpolation.
Numer. Algorithms, August, 2023

An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel.
J. Comput. Appl. Math., August, 2023

On optimal convergence rates of Laguerre polynomial expansions for piecewise functions.
J. Comput. Appl. Math., June, 2023

An efficient quadrature rule for weakly and strongly singular integrals.
Appl. Math. Comput., June, 2023

Exact penalization for cardinality and rank-constrained optimization problems via partial regularization.
Optim. Methods Softw., March, 2023

Pointwise error estimates and local superconvergence of Jacobi expansions.
Math. Comput., February, 2023

On the best convergence rate of lightning plus polynomial approximation for x<sup>α</sup>.
CoRR, 2023

Barycentric Interpolation Based on Equilibrium Potential.
CoRR, 2023

Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel.
Appl. Math. Comput., 2023

2022
Sparse Solutions of a Class of Constrained Optimization Problems.
Math. Oper. Res., 2022

Fast and stable augmented Levin methods for highly oscillatory and singular integrals.
Math. Comput., 2022

Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems.
CoRR, 2022

A fast multipole method for Fredholm integral equations of the second kind with general kernel <i>K</i>(<i>x</i>, <i>y</i>)=<i>K</i>(<i>x</i> - <i>y</i>).
Comput. Math. Appl., 2022

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

Fast linear barycentric rational interpolation for singular functions via scaled transformations.
CoRR, 2021

Coupled crash mechanics and biomechanics of aircraft structures and passengers.
Commun. Nonlinear Sci. Numer. Simul., 2021

A new constraint preconditioner based on the PGSS iteration method for non-Hermitian generalized saddle point problems.
Appl. Math. Comput., 2021

2020
Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control.
IEEE Trans. Autom. Control., 2020

On the Convergence Rate of Clenshaw-Curtis Quadrature for Jacobi Weight Applied to Functions with Algebraic Endpoint Singularities.
Symmetry, 2020

Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities.
Numerische Mathematik, 2020

On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels.
Int. J. Comput. Math., 2020

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

2019
Approximation to Logarithmic-Cauchy Type Singular Integrals with Highly Oscillatory Kernels.
Symmetry, 2019

Hermite-Type Collocation Methods to Solve Volterra Integral Equations with Highly Oscillatory Bessel Kernels.
Symmetry, 2019

On fast multipole methods for Volterra integral equations with highly oscillatory kernels.
J. Comput. Appl. Math., 2019

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

Least-Element Time-Stepping Methods for Simulation of Linear Networks with Ideal Switches.
Circuits Syst. Signal Process., 2019

Levin methods for highly oscillatory integrals with singularities.
CoRR, 2019

Fast computation of the spectral differentiation by the fast multipole method.
Comput. Math. Appl., 2019

Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel.
Comput. Appl. Math., 2019

On convergence rates of prolate interpolation and differentiation.
Appl. Math. Lett., 2019

Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels.
Appl. Math. Comput., 2019

On evaluation of oscillatory transforms from position to momentum space.
Appl. Math. Comput., 2019

2018
On efficient computation of highly oscillatory retarded potential integral equations.
Int. J. Comput. Math., 2018

On optimal convergence rates of a two-dimensional fast multipole method.
Appl. Math. Lett., 2018

On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity.
Appl. Math. Lett., 2018

2017
Fast multipole methods for approximating a function from sampling values.
Numer. Algorithms, 2017

A Collocation Boundary Value Method for Linear Volterra Integral Equations.
J. Sci. Comput., 2017

Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications.
Int. J. Comput. Math., 2017

2016
On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity.
SIAM J. Numer. Anal., 2016

On the evaluation of highly oscillatory finite Hankel transform using special functions.
Numer. Algorithms, 2016

Sparse solutions of linear complementarity problems.
Math. Program., 2016

A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels.
J. Comput. Appl. Math., 2016

Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method.
Int. J. Comput. Math., 2016

An improved error bound on Gauss quadrature.
Appl. Math. Lett., 2016

2015
The Fast Implementation of Higher Order Hermite-Fejér Interpolation.
SIAM J. Sci. Comput., 2015

Modified asymptotic orders of the direct Filon method for a class of Volterra integral equations.
J. Comput. Appl. Math., 2015

An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application.
J. Comput. Appl. Math., 2015

Efficient computation of highly oscillatory integrals with Hankel kernel.
Appl. Math. Comput., 2015

On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals.
Adv. Comput. Math., 2015

2014
Efficient evaluation of oscillatory Bessel Hilbert transforms.
J. Comput. Appl. Math., 2014

Numerical evaluation of a class of highly oscillatory integrals involving Airy functions.
Appl. Math. Comput., 2014

Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind.
Appl. Math. Comput., 2014

2013
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems.
Math. Program., 2013

Computation of integrals with oscillatory and singular integrands using Chebyshev expansions.
J. Comput. Appl. Math., 2013

Efficient quadrature of highly oscillatory integrals with algebraic singularities.
J. Comput. Appl. Math., 2013

On fast algorithms for the evaluation of Legendre coefficients.
Appl. Math. Lett., 2013

On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel.
Appl. Math. Lett., 2013

Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels.
Appl. Math. Comput., 2013

On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels.
Appl. Math. Comput., 2013

2012
On the Convergence Rates of Gauss and Clenshaw-Curtis Quadrature for Functions of Limited Regularity.
SIAM J. Numer. Anal., 2012

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

On the convergence rates of Legendre approximation.
Math. Comput., 2012

2011
Implicit solution function of P<sub>0</sub> and Z matrix linear complementarity constraints.
Math. Program., 2011

New preconditioners based on symmetric-triangular decomposition for saddle point problems.
Computing, 2011

Computation of generalized differentials in nonlinear complementarity problems.
Comput. Optim. Appl., 2011

On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity.
Appl. Math. Comput., 2011

Efficient integration for a class of highly oscillatory integrals.
Appl. Math. Comput., 2011

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

Error bounds for approximation in Chebyshev points.
Numerische Mathematik, 2010

Fast integration of highly oscillatory integrals with exotic oscillators.
Math. Comput., 2010

On the evaluation of Cauchy principal value integrals of oscillatory functions.
J. Comput. Appl. Math., 2010

On the calculation of highly oscillatory integrals with an algebraic singularity.
Appl. Math. Comput., 2010

2009
A parameter method for computing highly oscillatory integrals.
Comput. Math. Appl., 2009

Uniform approximations to Cauchy principal value integrals of oscillatory functions.
Appl. Math. Comput., 2009

Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals.
Appl. Math. Comput., 2009

2008
On generalized quadrature rules for fast oscillatory integrals.
Appl. Math. Comput., 2008

Solving Ordinary Differential Equations by Simplex Integrals.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

Numerical Quadrature for Bessel Transformations with High Oscillations.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

Solving Stiff Ordinary Differential Equation With One Simultaneous Implicit Equation.
Proceedings of the 2008 International Conference on Scientific Computing, 2008

2007
Perturbation Bounds of P-Matrix Linear Complementarity Problems.
SIAM J. Optim., 2007

Efficient Filon-type methods for (∫<sub>a</sub><sup>b</sup>f(x), e<sup>iωg(x)</sup>, dx).
Numerische Mathematik, 2007

2006
Computation of Error Bounds for P-matrix Linear Complementarity Problems.
Math. Program., 2006


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