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
Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems.
Adv. Comput. Math., October, 2024
Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials.
J. Comput. Appl. Math., June, 2024
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
Appl. Math. Comput., June, 2023
Exact penalization for cardinality and rank-constrained optimization problems via partial regularization.
Optim. Methods Softw., March, 2023
Math. Comput., February, 2023
On the best convergence rate of lightning plus polynomial approximation for x<sup>α</sup>.
CoRR, 2023
Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel.
Appl. Math. Comput., 2023
2022
Math. Oper. Res., 2022
Fast and stable augmented Levin methods for highly oscillatory and singular integrals.
Math. Comput., 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
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
J. Comput. Appl. Math., 2019
Least-Element Time-Stepping Methods for Simulation of Linear Networks with Ideal Switches.
Circuits Syst. Signal Process., 2019
Comput. Math. Appl., 2019
Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel.
Comput. Appl. Math., 2019
Appl. Math. Lett., 2019
Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels.
Appl. Math. Comput., 2019
Appl. Math. Comput., 2019
2018
On efficient computation of highly oscillatory retarded potential integral equations.
Int. J. Comput. Math., 2018
Appl. Math. Lett., 2018
On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity.
Appl. Math. Lett., 2018
2017
Numer. Algorithms, 2017
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
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
2015
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
Appl. Math. Comput., 2015
On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals.
Adv. Comput. Math., 2015
2014
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
J. Comput. Appl. Math., 2013
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
SIAM J. Numer. Anal., 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
Comput. Optim. Appl., 2011
On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity.
Appl. Math. Comput., 2011
Appl. Math. Comput., 2011
2010
Correction to "Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number".
SIAM J. Numer. Anal., 2010
Math. Comput., 2010
J. Comput. Appl. Math., 2010
Appl. Math. Comput., 2010
2009
Comput. Math. Appl., 2009
Appl. Math. Comput., 2009
Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals.
Appl. Math. Comput., 2009
2008
Appl. Math. Comput., 2008
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008
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
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
Math. Program., 2006