Journal Publications

• [1]Kelong Zhao, Shuhuang Xiang*, Barycentric rational interpolation of exponentially clustered poles.IMA J. Numer. Anal., 2024
• [2]Desong Kong, Jie Shen, Lilian Wang, Shuhuang Xiang, Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems.Adv. Comput. Math., 2024, 50
• [3]Shunfeng Yang, Shuhuang Xiang*, Local behaviors of Fourier expansions for functions of limited regularities..Adv. Comput. Math., 2024, 50
• [4]Xiang Shuhuang; Kong Desong ; Guidong Liu*; Lilian Wang, Pointwise error estimates and local superconvergence of Jacobi expansions[J].Mathematics of Computation, 2023, 92 (342) : 1747-1778.
• [5]Yinkun Wang, Shuhuang Xiang, Fast and stable augmented Levin methods for highly oscillatory and singular integrals. United States.Mathematics of Computation, 2022, 91: 1893-1923.
• [6]Yinkun Wang, Shuhuang Xiang, Levin methods for highly oscillatory integrals with singularities. Springer.Science China Mathematics(中国科学：数学）（英文版）, 2022, 65 (3) : 603-622.
• [7]Shuhuang Xiang, Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities.SIAM Journal on Numerical Analysis, 2021, 59 (3) : 1374-1398.
• [8]Lei Yang, Xiaojun Chen, Shuhuang Xiang.Sparse Solutions of a Class of Constrained Optimization Problems.Mathematics of Operations Research, 2021, to appear
• [9]S.Xiang, On Interpolation Approximation: Convergence rates for polynomial interpolation for functions of limited regularity.SIAM J. Numer. Anal., 2016, 54(4): 2081–2113.
• [10]S.Xiang, On Error Bounds for orthogonal Polynomial Expansions and Gauss-type Quadrature.SIAM J. Numer. Anal., 2012, 50: 1240-1263.
• [11]S.Xiang, F.Bornemann, On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity.SIAM J. Numer. Anal., 2012, 50: 2581-2587.
• [12]S.Xiang, G.He, The fast implementation of higher order Hermite-Fejer interpolation.SIAM J. Sci. Comput., 2015, 37(4): A1727–A1751.
• [13]X.Chen, S.Xiang, Perturbation Bounds of P-matrix Linear omplementarity Problems.SIAM J. Optimization, 2007, 18: 1250-1265.
• [14]S.Xiang, Correction to "strict diagonal dominance and optimal bounds for the Skeel condition number".SIAM J. Numer. Anal., 2010, 47: 4793-4795.
• [15]H.Wang, S.Xiang, On the convergence rates of Legendre approximation.Math. Comput., 2012, 81: 861–877.
• [16]S.Xiang, H.Wang, Fast Integration of Highly Oscillatory Integrals with exotic Oscillators.Math. Comput., 2010, 79: 829-844.
• [17]S.Xiang, G.Liu, Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities.Numer. Math., 2020, 145: 117-148.
• [18]S.Xiang, X.Chen, H.Wang, Error bounds for approximation in Chebyshev points.Numer. Math., 2010, 116: 463-491.
• [19]S.Xiang, Efficient Filon-Type Methods for \int_a^bf(x)e^{i\omega g(x)}dx.Numer. Math., 2007, 105: 633-658.
• [20]X.Chen, S.Xiang, Sparse solutions of linear complementarity problems.Math. Program. Ser. A, 2016, 159(1-2): 539-556.