A METHOD OF APPROXIMATE CONFORMAL MAPPING OF POLYGONAL REGIONS ONTO A UNIT CIRCLE,

Abstract

The paper proposes a general method for approximate conformal mapping of polygonal regions onto the unit circle with the aid of rational functions constructed by use of the classical Christoffel-Schwartz integral. The basis of the proposed method is a new general method for determining approximate values of the constants in the Christoffel-Schwartz integral on the basis of the 'continual correspondence' principle; which has been given the name 'method of generalized proportional division.' In determining approximate values of the constants by the generalized proportional division method, it is no longer necessary to write any equations and, consequently, all of the fundamental difficulties associated with solution of the equations are also eliminated.

Document Details

Document Type
Technical Report
Publication Date
Dec 17, 1965
Accession Number
AD0625305

Entities

People

  • I. S. Khara

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Cartography
  • Complex Variables
  • Conformal Mapping
  • Equations
  • Integrals
  • Mathematics
  • Rational Functions

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Systems Analysis and Design