LAGRANGIAN INTERPOLATION

Abstract

A systematic method of constructing formulae, together with error terms, is given for use in interpolation, extrapolation, differentiation, and integration. Both closed and open type formulae are developed, using ordinates, and based on Lagrange's interpolation formulae for equal intervals. The procedure was suggested by Professor H. H. Aiken several years ago at Harvard University. The whole procedure may be extended easily to obtain cubature formulae and formulae used for surface fitting.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1952
Accession Number
AD0008715

Entities

People

  • Clarence Ross

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Calculators
  • Differential Equations
  • Errors
  • Governments
  • Integrals
  • Interpolation
  • Intervals
  • New York
  • Numerical Analysis
  • Plastic Explosives
  • Procurement
  • Standards
  • Theorems
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Technical Research and Report Writing.