Filon-Clenshaw-Curtis rules for highly-oscillatory integrals with algebraic singularities and stationary points

V. Dominguez, I. G. Graham, T. Kim

In this paper we propose and analyse composite Filon-Clenshaw-Curtis quadrature rules for integrals of the form $I_{k}^{[a,b]}(f,g) := \int_a^b f(x) \exp(\mathrm{i}kg(x)) \rd x $,…