We propose a new robust method for the computation of scattering of high-frequency acoustic plane waves by smooth convex objects in 2D. We formulate this problem by the direct boundary integralâ€¦ (More)

In this paper we obtain new results on Filon-type methods for computing oscillatory integrals of the form âˆ« 1 âˆ’1 f(s) exp(iks) ds. We use a Filon approach based on interpolating f at the classicalâ€¦ (More)

A new boundary integral operator is introduced for the solution of the sound-soft acoustic scattering problem, i.e. for the exterior problem for Helmholtz equation with Dirichlet boundary conditions.â€¦ (More)

When a high-frequency acoustic or electromagnetic wave is scattered by a surface with a conical point, the component of the asymptotics of the scattered wave corresponding to diffraction by theâ€¦ (More)

We propose a new robust method for the computation of scattering of highfrequency acoustic plane waves by smooth convex objects in 2D. We formulate this problem by the direct boundary integralâ€¦ (More)

We prove that the standard second-kind integral equation formulation of the exterior Dirichlet problem for the Helmholtz equation is coercive (i.e. sign-definite) for all smooth convex domains whenâ€¦ (More)