Journal Publications

• [1]Yinkun Wang, Shuhuang Xiang, Fast and stable augmented Levin methods for highly oscillatory and singular integrals. United States.Mathematics of Computation, 2022, online
• [2]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.
• [3]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.
• [4]Lei Yang, Xiaojun Chen, Shuhuang Xiang.Sparse Solutions of a Class of Constrained Optimization Problems.Mathematics of Operations Research, 2021, to appear
• [5]S.Xiang, On Interpolation Approximation: Convergence rates for polynomial interpolation for functions of limited regularity.SIAM J. Numer. Anal., 2016, 54(4): 2081–2113.
• [6]S.Xiang, On Error Bounds for orthogonal Polynomial Expansions and Gauss-type Quadrature.SIAM J. Numer. Anal., 2012, 50: 1240-1263.
• [7]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.
• [8]S.Xiang, G.He, The fast implementation of higher order Hermite-Fejer interpolation.SIAM J. Sci. Comput., 2015, 37(4): A1727–A1751.
• [9]X.Chen, S.Xiang, Perturbation Bounds of P-matrix Linear omplementarity Problems.SIAM J. Optimization, 2007, 18: 1250-1265.
• [10]S.Xiang, Correction to "strict diagonal dominance and optimal bounds for the Skeel condition number".SIAM J. Numer. Anal., 2010, 47: 4793-4795.
• [11]H.Wang, S.Xiang, On the convergence rates of Legendre approximation.Math. Comput., 2012, 81: 861–877.
• [12]S.Xiang, H.Wang, Fast Integration of Highly Oscillatory Integrals with exotic Oscillators.Math. Comput., 2010, 79: 829-844.
• [13]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.
• [14]S.Xiang, X.Chen, H.Wang, Error bounds for approximation in Chebyshev points.Numer. Math., 2010, 116: 463-491.
• [15]S.Xiang, Efficient Filon-Type Methods for \int_a^bf(x)e^{i\omega g(x)}dx.Numer. Math., 2007, 105: 633-658.
• [16]X.Chen, S.Xiang, Sparse solutions of linear complementarity problems.Math. Program. Ser. A, 2016, 159(1-2): 539-556.
• [17]X.Chen, S.Xiang, Newton Iterations in Implicit Time-Stepping Scheme for Differential Linear Complementarity Systems.Math. Program. Ser. A, 2013, 138: 579-606.
• [18]X.Chen, S.Xiang, Implicit Solution Function of P$_0$ and Z Matrix Linear Complementarity constraints.Math. Program. Ser. A, 2010, 128(1-2): 1-18.
• [19]X.Chen, S.Xiang, Computation of error bounds for P-matrix linear complementarity problems, Math. Program.Math. Program. Ser. A, 2006, 106: 513-525.
• [20]S.Xiang, Y.Cho, H.Wang, H.Brunner, Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications.IMA J. Numer. Anal., 2011, 31(4): 1281-1314.