Near-circularity of the error curve in Chebyshev approximation of solutions to a class of elliptic partial differential equations in the complex plane

DOI10.1016/0377-0427(93)90305-UzbMath0823.65097MaRDI QIDQ1802178

Peter A. McCoy

Publication date: 24 October 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesHelmholtz equationapproximation by polynomialsChebyshev approximationCaratheodory-Fejer theoremerror curvefunction- theoretic methodsnear-best approximations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• SINGULARITIES OF SOLUTIONS TO ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH ANALYTIC COEFFICIENTS
• Some Linear Operators in the Theory of Partial Differential Equations