Shuhuang Xiang

94 papers Journal 91Unranked 3

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Augmented Levin methods for vector-valued highly oscillatory integrals with exotic oscillators and turning points. J. Comput. Appl. Math. Yinkun Wang, Shuhuang Xiang
2025	J	`jnl`	Convergence Analysis of Aggregation-Broadcast in LoRA-enabled Distributed Fine-Tuning. CoRR Xin Chen, Shuaijun Chen, Omid Tavallaie, Nguyen Tran, Shuhuang Xiang, Albert Y. Zomaya
2025	J	`jnl`	On the best convergence rate of lightning plus polynomial approximations. Math. Comput. Shuhuang Xiang, Shunfeng Yang, Yanghao Wu
2025	J	`jnl`	The root-exponential convergence of lightning plus polynomial approximation on corner domains (II). CoRR Shuhuang Xiang, Shunfeng Yang, Yanghao Wu
2024	J	`jnl`	Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems. Adv. Comput. Math. Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang
2024	J	`jnl`	Local behaviors of Fourier expansions for functions of limited regularities. Adv. Comput. Math. Shunfeng Yang, Shuhuang Xiang
2024	J	`jnl`	Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials. J. Comput. Appl. Math. Yali Zhang, Shuhuang Xiang, Desong Kong
2024	J	`jnl`	Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants. CoRR Kelong Zhao, Shuhuang Xiang
2024	J	`jnl`	The root-exponential convergence of lightning plus polynomial approximation on corner domains. CoRR Shuhuang Xiang, Shunfeng Yang
2023	J	`jnl`	A kernel-independent uniform fast multipole method based on barycentric rational interpolation. Numer. Algorithms Jiangli Liang, Shuhuang Xiang
2023	J	`jnl`	An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel. J. Comput. Appl. Math. Desong Kong, Shuhuang Xiang, Hongyu Wu
2023	J	`jnl`	An efficient quadrature rule for weakly and strongly singular integrals. Appl. Math. Comput. Guidong Liu, Shuhuang Xiang
2023	J	`jnl`	Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel. Appl. Math. Comput. Shuhuang Xiang, Qingyang Zhang
2023	J	`jnl`	Barycentric Interpolation Based on Equilibrium Potential. CoRR Kelong Zhao, Shuhuang Xiang
2023	J	`jnl`	Exact penalization for cardinality and rank-constrained optimization problems via partial regularization. Optim. Methods Softw. Zhaosong Lu, Xiaorui Li, Shuhuang Xiang
2023	J	`jnl`	On optimal convergence rates of Laguerre polynomial expansions for piecewise functions. J. Comput. Appl. Math. Yali Zhang, Shuhuang Xiang, Desong Kong
2023	J	`jnl`	On the best convergence rate of lightning plus polynomial approximation for x CoRR Shuhuang Xiang, Shunfeng Yang, Yanghao Wu
2023	J	`jnl`	Pointwise error estimates and local superconvergence of Jacobi expansions. CoRR Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang
2023	J	`jnl`	Pointwise error estimates and local superconvergence of Jacobi expansions. Math. Comput. Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang
2022	J	`jnl`	A fast multipole method for Fredholm integral equations of the second kind with general kernel Comput. Math. Appl. Jiangli Liang, Shuhuang Xiang
2022	J	`jnl`	Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems. CoRR Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang
2022	J	`jnl`	Fast and stable augmented Levin methods for highly oscillatory and singular integrals. Math. Comput. Yinkun Wang, Shuhuang Xiang
2022	J	`jnl`	Sparse Solutions of a Class of Constrained Optimization Problems. Math. Oper. Res. Lei Yang, Xiaojun Chen, Shuhuang Xiang
2021	J	`jnl`	A new constraint preconditioner based on the PGSS iteration method for non-Hermitian generalized saddle point problems. Appl. Math. Comput. Hongyu Wu, Shuhuang Xiang
2021	J	`jnl`	Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities. SIAM J. Numer. Anal. Shuhuang Xiang
2021	J	`jnl`	Coupled crash mechanics and biomechanics of aircraft structures and passengers. Commun. Nonlinear Sci. Numer. Simul. 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
2021	J	`jnl`	Fast linear barycentric rational interpolation for singular functions via scaled transformations. CoRR Desong Kong, Shuhuang Xiang
2020	J	`jnl`	Convergence rates of spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities. CoRR Shuhuang Xiang
2020	J	`jnl`	Implosion of the Argentinian submarine ARA San Juan S-42 undersea: Modeling and simulation. Commun. Nonlinear Sci. Numer. Simul. 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
2020	J	`jnl`	On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels. Int. J. Comput. Math. Bin Li, Shuhuang Xiang
2020	J	`jnl`	On the Convergence Rate of Clenshaw-Curtis Quadrature for Jacobi Weight Applied to Functions with Algebraic Endpoint Singularities. Symmetry Ahlam Arama, Shuhuang Xiang, Suliman Khan
2020	J	`jnl`	Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. Numerische Mathematik Shuhuang Xiang, Guidong Liu
2020	J	`jnl`	Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control. IEEE Trans. Autom. Control. Hua-Cheng Zhou, Bao-Zhu Guo, Shuhuang Xiang
2019	J	`jnl`	Approximation to Logarithmic-Cauchy Type Singular Integrals with Highly Oscillatory Kernels. Symmetry Saira, Shuhuang Xiang
2019	J	`jnl`	Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels. Appl. Math. Comput. Guidong Liu, Shuhuang Xiang
2019	J	`jnl`	Fast computation of the spectral differentiation by the fast multipole method. Comput. Math. Appl. Yan Tian, Shuhuang Xiang, Guidong Liu
2019	J	`jnl`	Hermite-Type Collocation Methods to Solve Volterra Integral Equations with Highly Oscillatory Bessel Kernels. Symmetry Chunhua Fang, Guo He, Shuhuang Xiang
2019	J	`jnl`	Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel. Comput. Appl. Math. Bin Li, Shuhuang Xiang, Guidong Liu
2019	J	`jnl`	Least-Element Time-Stepping Methods for Simulation of Linear Networks with Ideal Switches. Circuits Syst. Signal Process. Shuhuang Xiang, Xiaojun Chen, Yang Zhou
2019	J	`jnl`	Levin methods for highly oscillatory integrals with singularities. CoRR Yinkun Wang, Shuhuang Xiang
2019	J	`jnl`	On convergence rates of prolate interpolation and differentiation. Appl. Math. Lett. Yan Tian, Shuhuang Xiang
2019	J	`jnl`	On evaluation of oscillatory transforms from position to momentum space. Appl. Math. Comput. Ruyun Chen, Shuhuang Xiang, Xuesong Kuang
2019	J	`jnl`	On fast multipole methods for Volterra integral equations with highly oscillatory kernels. J. Comput. Appl. Math. Qingyang Zhang, Shuhuang Xiang
2019	J	`jnl`	On van der Corput-type lemmas for Bessel and Airy transforms and applications. J. Comput. Appl. Math. Shuhuang Xiang
2018	J	`jnl`	On efficient computation of highly oscillatory retarded potential integral equations. Int. J. Comput. Math. Shuhuang Xiang, Bin Li, Guidong Liu
2018	J	`jnl`	On optimal convergence rates of a two-dimensional fast multipole method. Appl. Math. Lett. Shuhuang Xiang, Guidong Liu
2018	J	`jnl`	On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity. Appl. Math. Lett. Shuhuang Xiang
2017	J	`jnl`	A Collocation Boundary Value Method for Linear Volterra Integral Equations. J. Sci. Comput. Junjie Ma, Shuhuang Xiang
2017	J	`jnl`	Fast multipole methods for approximating a function from sampling values. Numer. Algorithms Guidong Liu, Shuhuang Xiang
2017	J	`jnl`	Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications. Int. J. Comput. Math. Zhenhua Xu, Shuhuang Xiang
2016	J	`jnl`	A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels. J. Comput. Appl. Math. Guo He, Shuhuang Xiang, Zhenhua Xu
2016	J	`jnl`	An improved error bound on Gauss quadrature. Appl. Math. Lett. Shuhuang Xiang
2016	J	`jnl`	Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method. Int. J. Comput. Math. Guo He, Shuhuang Xiang, Enwen Zhu
2016	J	`jnl`	On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity. SIAM J. Numer. Anal. Shuhuang Xiang
2016	J	`jnl`	On the evaluation of highly oscillatory finite Hankel transform using special functions. Numer. Algorithms Zhenhua Xu, Shuhuang Xiang
2016	J	`jnl`	Sparse solutions of linear complementarity problems. Math. Program. Xiaojun Chen, Shuhuang Xiang
2015	J	`jnl`	An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application. J. Comput. Appl. Math. Guo He, Shuhuang Xiang
2015	J	`jnl`	Efficient computation of highly oscillatory integrals with Hankel kernel. Appl. Math. Comput. Zhenhua Xu, Gradimir V. Milovanovic, Shuhuang Xiang
2015	J	`jnl`	Modified asymptotic orders of the direct Filon method for a class of Volterra integral equations. J. Comput. Appl. Math. Junjie Ma, Chunhua Fang, Shuhuang Xiang
2015	J	`jnl`	On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Adv. Comput. Math. Shuhuang Xiang, Guo He, Yeol Je Cho
2015	J	`jnl`	The Fast Implementation of Higher Order Hermite-Fejér Interpolation. SIAM J. Sci. Comput. Shuhuang Xiang, Guo He
2014	J	`jnl`	Efficient evaluation of oscillatory Bessel Hilbert transforms. J. Comput. Appl. Math. Zhenhua Xu, Shuhuang Xiang, Guo He
2014	J	`jnl`	Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind. Appl. Math. Comput. Shuhuang Xiang
2014	J	`jnl`	Numerical evaluation of a class of highly oscillatory integrals involving Airy functions. Appl. Math. Comput. Zhenhua Xu, Shuhuang Xiang
2013	J	`jnl`	Computation of integrals with oscillatory and singular integrands using Chebyshev expansions. J. Comput. Appl. Math. Hongchao Kang, Shuhuang Xiang, Guo He
2013	J	`jnl`	Efficient quadrature of highly oscillatory integrals with algebraic singularities. J. Comput. Appl. Math. Hongchao Kang, Shuhuang Xiang
2013	J	`jnl`	Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Math. Program. Xiaojun Chen, Shuhuang Xiang
2013	J	`jnl`	Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels. Appl. Math. Comput. Shuhuang Xiang, Qinghua Wu
2013	J	`jnl`	On fast algorithms for the evaluation of Legendre coefficients. Appl. Math. Lett. Shuhuang Xiang
2013	J	`jnl`	On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel. Appl. Math. Lett. Junjie Ma, Shuhuang Xiang, Hongchao Kang
2013	J	`jnl`	On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels. Appl. Math. Comput. Shuhuang Xiang, Kaixian He
2012	J	`jnl`	On Error Bounds for Orthogonal Polynomial Expansions and Gauss-Type Quadrature. SIAM J. Numer. Anal. Shuhuang Xiang
2012	J	`jnl`	On the Convergence Rates of Gauss and Clenshaw-Curtis Quadrature for Functions of Limited Regularity. SIAM J. Numer. Anal. Shuhuang Xiang, Folkmar Bornemann
2012	J	`jnl`	On the convergence rates of Legendre approximation. Math. Comput. Haiyong Wang, Shuhuang Xiang
2011	J	`jnl`	Computation of generalized differentials in nonlinear complementarity problems. Comput. Optim. Appl. Shuhuang Xiang, Xiaojun Chen
2011	J	`jnl`	Efficient integration for a class of highly oscillatory integrals. Appl. Math. Comput. Hongchao Kang, Shuhuang Xiang
2011	J	`jnl`	Implicit solution function of P Math. Program. Xiaojun Chen, Shuhuang Xiang
2011	J	`jnl`	New preconditioners based on symmetric-triangular decomposition for saddle point problems. Computing Xiao-Fei Peng, Wen Li, Shuhuang Xiang
2011	J	`jnl`	On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity. Appl. Math. Comput. Hongmin Mo, Shuhuang Xiang
2010	J	`jnl`	Correction to "Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number". SIAM J. Numer. Anal. Shuhuang Xiang
2010	J	`jnl`	Error bounds for approximation in Chebyshev points. Numerische Mathematik Shuhuang Xiang, Xiaojun Chen, Haiyong Wang
2010	J	`jnl`	Fast integration of highly oscillatory integrals with exotic oscillators. Math. Comput. Shuhuang Xiang, Haiyong Wang
2010	J	`jnl`	On the calculation of highly oscillatory integrals with an algebraic singularity. Appl. Math. Comput. Hongchao Kang, Shuhuang Xiang
2010	J	`jnl`	On the evaluation of Cauchy principal value integrals of oscillatory functions. J. Comput. Appl. Math. Haiyong Wang, Shuhuang Xiang
2009	J	`jnl`	A parameter method for computing highly oscillatory integrals. Comput. Math. Appl. Ruyun Chen, Shuhuang Xiang, Yongxiong Zhou
2009	J	`jnl`	Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals. Appl. Math. Comput. Ruyun Chen, Shuhuang Xiang
2009	J	`jnl`	Uniform approximations to Cauchy principal value integrals of oscillatory functions. Appl. Math. Comput. Haiyong Wang, Shuhuang Xiang
2008	—	`conf`	Numerical Quadrature for Bessel Transformations with High Oscillations. NAA Shuhuang Xiang
2008	J	`jnl`	On generalized quadrature rules for fast oscillatory integrals. Appl. Math. Comput. Shuhuang Xiang, Weihua Gui
2008	—	`conf`	Solving Ordinary Differential Equations by Simplex Integrals. NAA Yongxiong Zhou, Shuhuang Xiang
2008	—	`conf`	Solving Stiff Ordinary Differential Equation With One Simultaneous Implicit Equation. CSC Yongxiong Zhou, Shuhuang Xiang
2007	J	`jnl`	Efficient Filon-type methods for (∫ Numerische Mathematik Shuhuang Xiang
2007	J	`jnl`	Perturbation Bounds of P-Matrix Linear Complementarity Problems. SIAM J. Optim. Xiaojun Chen, Shuhuang Xiang
2006	J	`jnl`	Computation of Error Bounds for P-matrix Linear Complementarity Problems. Math. Program. Xiaojun Chen, Shuhuang Xiang