Accession Number:

ADA458904

Title:

On Interpolation and Integration in Finite-Dimensional Spaces of Bounded Functions

Descriptive Note:

Research rept.

Corporate Author:

YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE

Report Date:

2005-03-09

Pagination or Media Count:

8.0

Abstract:

We observe that, under very mild conditions, an n-dimensional space of functions with a finite n admits numerically stable n-point interpolation and integration formulae. The proof relies entirely on linear algebra, and is virtually independent of the domain and of the functions to be interpolated.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE