Some New Mathematical Methods for Variational Objective Analysis Using Splines and Cross-Validation.

Abstract

Sasaki (1960) introduced the idea of numerical variational analysis for objective analysis of metorological fields. In the most general form of variational analysis considered here we seek a function phi(x,y,p,t,) of four variables representing a meteorological field of interest, say height, temperature, or a component of the wind field, as a function of ground projection coordinates (x,y), the vertical coordinate p, and time, t. This function should be suitably close to the height, temperature or wind field as measured at a finite set of positions, pressures and times, it should reflect known behavior of such fields, and it should be 'smooth' in some sense.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1979
Accession Number
ADA079302

Entities

People

  • Grace Wahba
  • James Wendelberger

Organizations

  • University of Wisconsin Madison Department of Statistics

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computing-Related Activities
  • Covariance
  • Data Science
  • Geostrophic Wind
  • Information Science
  • Measurement
  • Military Research
  • Plastic Explosives
  • Radiosondes
  • Statistics
  • Three Dimensional
  • Validation
  • Wind
  • Wisconsin

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.