Accession Number:

ADA099361

Title:

On Polynomial Interpolation in the Points of a Geometric Progression, Stirling, Schellbach, Runge and Romberg.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1981-01-01

Pagination or Media Count:

24.0

Abstract:

It is very well known Newtons interpolation series with divided differences simplifies considerably in the case that we interpolate in the points of an arithmetic progression. It seems much less known that a similar simplification occurs in the case when the points of interpolation form a geometric progression. We describe here the practically forgotten work of Stirling 1730, Schellbach 1864, and Runge 1981, and its connection with the elegant and more recent algorithm of Romberg 1955. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE