We study cubature formulas for d-dimensional integrals with an arbitrary symmetric weight function of product form. We present a construction that yields a high polynomial exactness: for fixed degree ...
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 ] ...
Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...