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王海永
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Scientific Research
Research Field
Highly oscillatory problems, spectral methods
Paper Publications
Haiyong Wang.New error bounds for Legendre approximations of differentiable functions.Journal of Fourier Analysis and Applications, to appear.2023
Menghan Wu.Gaussian quadrature rules for composite highly oscillatory integrals.Mathematics of Computation, to appear.
Haiyong Wang.Analysis of error localization of Chebyshev spectral approximations.SIAM Journal on Numerical Analysis, 61(2): 952--972, 2023.
Haiyong Wang.Optimal rates of convergence and error localization of Gegenbauer projections.IMA Journal of Numerical Analysis, to appear.2022
Haiyong Wang.How much faster does the best polynomial approximation converge than Legendre projection?.Numerische Mathematik.2021
Research Projects
谱插值与谱展开的快速算法与分析, National Natural Science Foundation of China (NSFC), 2017-01-01-2020-12-31
谱系数方法的计算及其在求解高振荡积分方程中的应用, National Natural Science Foundation of China (NSFC), 2014-01-01-2016-12-31