Accession Number : AD0008715


Title :   LAGRANGIAN INTERPOLATION


Descriptive Note : Technical Rept.


Corporate Author : AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OH


Personal Author(s) : ROSS, CLARENCE


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/008715.pdf


Report Date : Sep 1952


Pagination or Media Count : 59


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.


Descriptors :   *TRANSFORMATIONS(MATHEMATICS) , *LAGRANGIAN FUNCTIONS , GRAPHS , ERROR ANALYSIS , INTERPOLATION , FORMULAS(MATHEMATICS) , INTERVALS


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE