On Evaluating Integrals with Strongly Singular Integrands
cauchy integrals, collocation, crack, hadamard's sense, singularity
Digital Object Identifier (DOI)
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.
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Citation / Publisher Attribution
Advances in Engineering Software and Workstations, v. 13, issue 2, p. 84-103
Scholar Commons Citation
Kaw, Autar, "On Evaluating Integrals with Strongly Singular Integrands" (1991). Mechanical Engineering Faculty Publications. 195.