A Nested Partitioning Procedure for Numerical Multiple Integration.

Abstract

An algorithm is presented for adaptively partitioning a multidimensional coordinate space based on optimization of a scalar function of the coordinates. The goal is to construct a set of hyperrectangular regions, such that the variation of function values within each region is small. These regions are then used as the basis for a stratified sampling estimate of the definite integral of the function. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA081070

Entities

People

  • Jerome H. Friedman
  • Margaret H. Wright

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Computer Science
  • Integrals
  • Iterations
  • Linear Accelerators
  • Linear Systems
  • Monte Carlo Method
  • New York
  • Numerical Analysis
  • Numerical Integration
  • Operations Research
  • Optimization
  • Sampling
  • Scalar Functions
  • Space Based
  • Test And Evaluation
  • United States

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Regression Analysis.

Technology Areas

  • Space