DIFFERENTIAL INEQUALITIES AND ERROR BOUNDS

Abstract

A unified theory on a certain type of inequalities for abstract linear operators and, in particular, for ordinary linear differential operators of the first, second, and fourth order is developed. The statements which involve these inequalities lead to a principle of error estimation. With a programmed procedure, approximate solutions and corresponding error bounds have been calculated for some examples of the second and fourth order. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1965
Accession Number
AD0615306

Entities

People

  • Johann Schroder

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Convex Sets
  • Differential Equations
  • Equations
  • Errors
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables
  • Theorems

Fields of Study

  • Mathematics

Readers

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