Numerical Solution of Singular Integral Equations.

Abstract

One encounters difficulties in the solution of integral equations, namely, the occurrence of singularities in the kernel, and the occurence of unknown-type singularities in the solution of the integral equation. Standard methods of approximation based on exactness for polynomials up to a certain degree are very poor, and frequently fail for functions having such singularities. The purpose of this contract was to develop methods for solving integral equations which work well in spite of the presence of singularities. This goal has been accomplished, in that the new approximation methods which were developed do work well in the presence of singularities. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 15, 1977
Accession Number
ADA046713

Entities

People

  • Frank Stenger

Organizations

  • University of Utah

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Analytic Functions
  • Boundaries
  • Convergence
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Galerkin Method
  • Integral Equations
  • Integrals
  • Military Research
  • Nonlinear Algebraic Equations
  • North Carolina
  • Numerical Analysis
  • Numerical Methods And Procedures
  • Partial Differential Equations
  • Triangles

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design