Research Interests: Highly Oscillatory Problems; Function Approximation

Academic Degrees

PhD, 2005/09-2010/12, School of Mathematics and Statistics, Central South University, Changsha, China;

Bachelor, 2001/09-2005/06, School of Mathematics and Statistics, Central South University, Changsha, China.

Professional Experience

Associate Professor (2013/01-present): School of Mathematics and Statistics, Huazhong University of Science and Technology;

Postdoc Research Fellow (2011/03-2012/12): Department of Computer Science, University of Leuven, Leuven, Belgium.

Selected Publications

• Haiyong Wang and Lun Zhang, Jacobi polynomials on Bernstein ellipse, Journal of Scientific Computing, to appear, 2017.

• Haiyong Wang and Daan Huybrechs, Fast and accurate computation of Chebyshev coefficients in the complex plane, IMA Journal of Numerical Analysis, 37(3), 1150-1174, 2017.

• Haiyong Wang，On the optimal estimates and comparison of Gegenbauer expansion coefficients, SIAM Journal on Numerical Analysis, 54(3), 1557-1581, 2016.

• Haiyong Wang, Daan Huybrechs and Stefan Vandewalle, Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials, Mathematics of Computation, 83(290), 2893-2914, 2014.

• Andreas Asheim, Alfredo Deano, Daan Huybrechs and Haiyong Wang, A Gaussian quadrature rule for oscillatory integrals on a bounded interval, Discrete and Continuous Dynamical Systems - Series A 34 (3), 883-901, 2014.

• Haiyong Wang, Lun Zhang and Daan Huybrechs, Asymptotic expansions and fast computation of oscillatory Hilbert transforms, Numerische Mathematik, 123(4), 709-743, 2013.

• Haiyong Wang and Shuhuang Xiang, On the convergence rates of Legendre approximation, Mathematics of Computation, 81(278), 861-877, 2012.

• Shuhuang Xiang, Yeol Je Cho, Haiyong Wang and Hermann Brunner, Clenshaw–Curtis–Filon-type methods for highly oscillatory Bessel transforms and applications, IMA Journal of Numerical Analysis, 31(4), 1281-1314, 2011.

• Haiyong Wang and Shuhuang Xiang, Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel, IMA Journal of Numerical Analysis, 31(2), 469-490, 2011.

• Shuhuang Xiang and Haiyong Wang, Fast integration of highly oscillatory integrals with exotic oscillators, Mathematics of Computation, 79(270), 829-844, 2010.

• Shuhuang Xiang, Xiaojun Chen and Haiyong Wang, Error bounds for approximation in Chebyshev points, Numerische Mathematik, 116 (3), 463-491, 2010.

• Haiyong Wang and Shuhuang Xiang, On the evaluation of Cauchy principal value integrals of oscillatory functions, Journal of Computational and Applied Mathematics, 234(1), 95-100, 2010.

• Haiyong Wang and Shuhuang Xiang, Uniform approximations to Cauchy principal value integrals of oscillatory functions, Applied Mathematics and Computation, 215(5), 1886-1894, 2009.

• Shuhuang Xiang and Haiyong Wang, On the Levin iterative method for oscillatory integrals, Journal of Computational and Applied Mathematics, 217(1), 38-45, 2008.

Awards

2013 The Best Doctoral Dissertation of Hunan Province

Courses Taught

Mathematical Physics and Special functions

Matrix Theory

Numerical Approximation

Project

National Natural Science Foundation of China：Fast algorithms and analysis for spectral expansions and spectral interpolation, 2017/01—2020/12