Accession Number:

ADA555654

Title:

On the Correlation Functions Associated with Polynomials of the Diffusion Operator

Descriptive Note:

Journal article

Corporate Author:

NAVAL RESEARCH LAB STENNIS DETACHMENT STENNIS SPACE CENTER MS OCEANOGRAPHY DIV

Personal Author(s):

Report Date:

2011-10-01

Pagination or Media Count:

7.0

Abstract:

Correlation functions CFs associated with the inverse background-error correlations iBECs represented by polynomials of the diffusion operator D are obtained analytically for the binomial approximations of the Gaussian BEC and in the general case of a quadratic polynomial of D. The respective analytical expressions for one-, two- and three-dimensional cases have two tuning parameters, which provide enough freedom in adjusting the CFs shape to, experimental data. The polynomial coefficients of the corresponding iBEC operator are obtained in terms of these tuning parameters and may be useful in the design of the BEC models for variational data assimilation.

Subject Categories:

  • Numerical Mathematics
  • Statistics and Probability
  • Optics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE