Donatella Occorsio

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In this paper, the numerical solution of non-standard and nonlinear Volterra integral equations is studied and computationally efficient schemes based on quadrature methods are presented. The numerical methods are of Runge-Kutta and barycentric rational quadrature types. A convergence analysis of the barycentric rational quadrature method is discussed and(More)
Let {p m (w α)} m be the sequence of the polynomials orthonormal w.r.t. the Sonin-Markov weight w α (x) = e −x 2 |x| α. The authors study extended Lagrange interpolation processes essentially based on the zeros of p m (w α)p m+1 (w α), determining the conditions under which the Lebesgue constants, in some weighted uniform spaces, are optimal.