Learn More
This paper describes an algorithm for the solution of a system of nonlinear equations F(X)-O, where 0 = (0. .. .. 0) ~ R", and F is a gwen continuous transformation of n-dimensional simplex S into R"(n >_ 2) The program is based on computation of the topological degree ((leg) of a mapping and a slmplex-b~sectlon scheme. The algorithm is primarily useful for(More)
Contents Abstract Sinc approximation methods excel for problems whose solutions may have singularities, or innnite domains, or boundary layers. This article summarizes results obtained to date, on Sinc numerical methods of computation. Sinc methods provide procedures for function approximation over bounded or unbounded regions, encompassing interpolation,(More)
In this paper we derive a Sinc procedure for the construction of a conformal map, f , of a simply connected domain, or Riemann surface B in the complex plane to the unit disc U. The construction is based on the solution of a boundary integral equation which always has a unique solution. We assume that @B, the boundary of B, consists of a nite number of(More)
We describe a family of optimal quadrature formulas for approximating the integral fw-'(I-,,,]) [(z) dz, where f belongs to the Hardy's class Hp(D), 1 < p <-+0% D is an open simply connected domain in the complex plane, and w is a conformal map of D onto the unit disk U. We consider four different classes of domains D~, 0 < d <-Ir/2, t = 1, 2, 3, 4. If the(More)