Computable A Posteriori (L sub infinity) Error Bounds for the Approximate Solution of Two Point Boundary Value Problems.

Abstract

In this paper the authors use the general theory of Newton's method for operator equations with functional constraints recently developed by Tapia and the Kantorovich theorem to construct (C sup 1) approximations to the solution and its derivative of the nonlinear two point boundary value problem and computable (L sub infinity) error bounds for both approximations. Several numerical examples for both boundary value and initial value problems are included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1974
Accession Number
AD0787734

Entities

People

  • Mary Anne Mccarthy
  • R. A. Tapia

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations

Fields of Study

  • Mathematics

Readers

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