On Complex Rational Approximation by Interpolation at Preselected Nodes.

Abstract

Let omega be a finitely connected closed point set in the complex plane with a piecewise smooth boundary. The approximation of functions analytic on omega by rational functions determined by interpolation or least squares approximation at preselected nodes is discussed. Attention is focussed on simple methods for selecting an appropriate rational space and obtaining a fairly well-conditioned rational basis. Applications include the determination of conformal mappings. Numerical examples illustrate the approximation method. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1983
Accession Number
ADA130526

Entities

People

  • Lothar Reichel

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundaries
  • Cartography
  • Complex Variables
  • Conformal Mapping
  • Contracts
  • Equations
  • Interpolation
  • Mathematics
  • Numbers
  • Numerical Analysis
  • Polynomials
  • Rational Functions
  • Sequences
  • Square Roots
  • Theorems
  • United States

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space