17 citations · 95 across the 41 of their papers we have counts for
3 papers · 1 filter
A Gaussian quadrature rule for oscillatory integrals on a bounded interval
Andreas Asheim, Alfredo Deaño, Daan Huybrechs +1
We investigate a Gaussian quadrature rule and the corresponding orthogonal polynomials for the oscillatory weight function on the interval . We show that such a r…
On the numerical stability of Fourier extensions
Ben Adcock, Daan Huybrechs, Jesus Martin-Vaquero
An effective means to approximate an analytic, nonperiodic function on a bounded interval is by using a Fourier series on a larger domain. When constructed appropriately, this so-c…
Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials
Haiyong Wang, Daan Huybrechs, Stefan Vandewalle
Barycentric interpolation is arguably the method of choice for numerical polynomial interpolation. The polynomial interpolant is expressed in terms of function values using the so-…