Error Estimation and Iterative Improvement for the Numerical Solution of Operator Equations.

Abstract

A Method for estimation of the global discretization error of solutions of operator equations is presented. Further an algorithm for iterative improvement of the approximate solution of such problems is given. The theoretical foudation for the algorithms are given as a number of theorems. Several classes of operator equations are examined and numerical results for both the error estimation algorithm and the algorithm for iterative improvement are given for some classes of ordinary and partial differential equations and integral equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1976
Accession Number
ADA038182

Entities

People

  • Bengt Lindberg

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Autonomy
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Asymptotic Series
  • Banach Space
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Integral Equations
  • Mathematical Analysis
  • Numerical Analysis
  • Partial Differential Equations
  • Theorems

Fields of Study

  • Mathematics

Readers

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