Results 91 to 100 of about 574,412 (205)

The construction of Chebyshev approximations in the complex plane

, 1978
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Elliott, Graham Hallett, Elliott, Graham Hallett   +1 more
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Greedy Thiele continued-fraction approximation on continuum domains in the complex plane

We describe an adaptive greedy algorithm for Thiele continued-fraction approximation of a function defined on a continuum domain in the complex plane. The algorithm iteratively selects interpolation nodes from an adaptively refined set of sample points on the domain boundary.
Driscoll, Tobin A., Zhou, Yuxing
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The degree of approximation by polynomials on some disjoint intervals in the complex plane

Journal of Approximation Theory, 2007
Let \(f\) be a continuous function defined on the compact set \(K\) consisting of the union of several disjoint intervals in the complex plane. Using the overconvergence technique the author estimates lower bounds of the error \(E_n(f,K)=\inf_{P\in {\mathcal{P}}_n}\| f-P\|\) where inf is taken over all polynomials of degree at most \(n\).
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Complex space monofilar approximation of diffraction currents on a conducting half plane [PDF]

Simple approximation of diffraction surface currents on a conducting half plane, due to an incoming plane wave, is obtained with a line current (monofile) in complex space. When compared to an approximating current at the edge, the diffraction pattern is
Lindell, I. V.
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Weighted uniform polynomial approximation and moduli of smoothness on continua in the complex plane

Journal of Approximation Theory, 2012
The starting point of the analysis is a result due to \textit{G. Mastroianni} and \textit{V. Totik} [J. Approx. Theory 110, No. 2, 180--199 (2001; Zbl 0981.41016)]. The aim of the paper is to extend this result to the case of weighted polynomial approximation on compact sets in the complex plane. The main results of the paper are contained in Theorem 1
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The use of complex structure splines in roadway design

Российский технологический журнал
Objectives. The aim of the work is to develop the theory of spline-approximation of a sequence of points on a plane for using compound splines with a complex structure.
V. I. Struchenkov, D. A. Karpov
doaj   +1 more source

The Cauchy-Green formula and rational approximation on the sets with a finite perimeter in the complex plane

Journal of Functional Analysis, 1985
The paper deals with a generalization of the classical Cauchy-Green theorem to compact sets with finite perimeter on the complex plane. The representation formula obtained here, allows to reconstruct Lipschitz functions defined on a set with finite perimeter by its values on the ''reduced boundary'' of the set and the values of its \({\bar \partial}\)-
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Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Pad\'e approximation

, 2015
Complex analytical structure of Stokes wave for two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth is analyzed.
Dyachenko, S. A., Korotkevich, A. O., Lushnikov, P. M.   +2 more
core  

Approximate Solutions of the Fisher–Kolmogorov Equation in an Analytic Domain of the Complex Plane

Symmetry
The paper oresents the analytical construction of approximate solutions to the generalized Fisher–Kolmogorov equation in the complex domain. The existence and uniqueness of such solutions are established within an analytic domanin of the complex plane.
Victor Orlov, Alexander Chichurin
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Polynomial approximation of analytic functions on a finite number of continua in the complex plane

Journal of Approximation Theory, 2005
The author generalizes a theorem of Dzyadyk on polynomial approximation on a continuum in the complex plane to the case of compact sets that consist of finitely many continua.
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