Some Families of Near-Orthonormal Analytic and Harmonic Functions.

Abstract

The approximation of analytic or harmonic functions on plane finitely connected domains with smooth boundary curves is considered, and several easily computable families of near-orthonormal functions are described. The functions can be used in fast Galerkin schemes for numerical approximation. Several numerical examples are presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1984
Accession Number
ADA144722

Entities

People

  • L. Reichel

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundaries
  • Cartography
  • Coefficients
  • Complex Variables
  • Computations
  • Conformal Mapping
  • Equations
  • Integral Equations
  • Integrals
  • Linear Systems
  • Mathematics
  • Numerical Analysis
  • Rational Functions
  • Truncation
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)