In the present paper, optimal quadrature formulas in the sense of Sard are constructed fornumerical integration of the integral ∫ a b e 2πiωx φ( x )dx with ω ∈ ℝ in the Sobolev space L 2 ( m ) [ a,b ] ...

Abstract: A direct integration algorithm for the evaluation of Sommerfeld integrals is presented. This algorithm does not require the deformation of the integration path to avoid spectral ...

Abstract: Integration is a smoothing operation, and numerical integration is, in its essence, a stable operation. Many formulas (or rules) exist. The most basic of these is the so-called rectangular ...