Convergence of Molodensky's Series,

Abstract

Mologensky's solution of the geodetic boundary-value problem consists in an asymptotic series expansion with respect to a parameter k. It is shown that this series converges for sufficiently small values of k. The method starts from an integral equation given by Brovar and uses a Neumann series solution of this equation; the norms of the occuring singlular integral operators are suitably estimated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1972
Accession Number
AD0754251

Entities

People

  • Helmut Moritz

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis