A Posteriori Error Bounds for Two-Point Boundary Value Problems.

Abstract

It is shown how one can bound a posteriori the error made in the numerical solution of the Two-Point Boundary Value Problem (TPBVP). The error bounds obtained are rigorous and include the truncation and the roundoff error. In addition, the computations establish the existence of solutions to the TPBVP.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA054544

Entities

People

  • Gershon Kedem

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Arithmetic
  • Banach Space
  • Boundary Value Problems
  • Computations
  • Computer Programs
  • Computers
  • Differential Equations
  • Equations
  • Error Analysis
  • Integral Equations
  • Numerical Analysis
  • Sequences
  • Theorems
  • United States
  • Volterra Equations

Fields of Study

  • Mathematics

Readers

  • Computer Programming and Software Development.
  • Linear Algebra