On Evaluating Integrals with Strongly Singular Integrands

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Abstract

The solution of many mixed boundary value problems in engineering is found in terms of singular integral equations. These equations may require numerical evaluation of integrals with strongly singular integrands. Two simple algorithms based on an adaptive scheme are written to evaluate these integrals in the Hadamard sense. The results are compared with exact results available for specific integrands.

Original languageAmerican English
JournalAdvances in Engineering Software and Workstations
Volume13
DOIs
StatePublished - Jan 1 1991

Keywords

  • cauchy integrals
  • collocation
  • crack
  • hadamard's sense
  • singularity

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