Multidimensional Quadrature Formulas using Partial Derivates.

Abstract

Conventional multidimensional quadrature formula employ a weighted sum of function values to approximate a multiple integral over a hyperrectangle. This paper considers the problem of enhancing the traditional formulas by the addition of certain partial derivative correction terms evaluated on the boundary of the domain of integration. Numerical results for double and triple integrals indicate the formulas of degrees of precision 3 and precision 5 are both accurate and efficient. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 25, 1979
Accession Number
ADA070582

Entities

People

  • J. Sutherland Frame
  • Wayne E. Hoover

Organizations

  • Naval Air Station Patuxent River

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mathematics
  • Boundaries
  • Coefficients
  • Composite Materials
  • Computers
  • Efficiency
  • Errors
  • Integrals
  • Linear Systems
  • Maryland
  • Mathematics
  • Numerical Quadrature
  • Precision
  • Test And Evaluation
  • Truncation
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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  • Fluid Dynamics.
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