End-Point Corrected Trapezoidal Quadrature Rules for Singular Functions.

Abstract

A group of quadrature formulae for end-point singular functions is presented generalizing classical end-point corrected trapezoidal quadrature rules. The actual values of the end-point corrections are obtained for each singularity as a solution of a system of linear algebraic equations. The algorithm is applicable to a wide class of monotonic singularities and does not require that an analytical expression for the singularity be known; only the knowledge of its first several moments and the ability to evaluate it on the interval of integration are needed. Keywords: convergence; numerical analysis; numerical integration. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1985
Accession Number
ADA163242

Entities

People

  • Vladimir Rokhlin

Organizations

  • Yale University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Coefficients
  • Computers
  • Convergence
  • Equations
  • Integral Equations
  • Intervals
  • Linear Algebraic Equations
  • Numbers
  • Numerical Analysis
  • Numerical Integration
  • Numerical Quadrature
  • Real Numbers
  • Sequences
  • Standards
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Aerodynamics/Aeronautics.
  • Fluid Dynamics.
  • Robotics and Automation.