5 citations · 32 across the 21 of their papers we have counts for
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math.NA2014★ 2 cited
On the optimal estimates and comparison of Gegenbauer expansion coefficients
Haiyong Wang
In this paper, we study optimal estimates and comparison of the coefficients in the Gegenbauer series expansion. We propose an alternative derivation of the contour integral repres…
math.NA2014★ 4 cited
Fast and highly accurate computation of Chebyshev expansion coefficients of analytic functions
Haiyong Wang, Daan Huybrechs
Chebyshev expansion coefficients can be computed efficiently by using the FFT, and for smooth functions the resulting approximation is close to optimal, with computations that are…
math.NA2014★ 3 cited
Convergence rate and acceleration of Clenshaw-Curtis quadrature for functions with endpoint singularities
Haiyong Wang
In this paper, we investigate the rate of convergence of Clenshaw-Curtis quadrature and its acceleration for functions with endpoint singularities in X^s, where X^s denotes the spa…