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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Transformation of hypersingular integrals and black-box cubature
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by S. A. Sauter and C. Lage PDF
Math. Comp. 70 (2001), 223-250 Request permission


In this paper, we will consider hypersingular integrals as they arise by transforming elliptic boundary value problems into boundary integral equations. First, local representations of these integrals will be derived. These representations contain so-called finite-part integrals. In the second step, these integrals are reformulated as improper integrals. We will show that these integrals can be treated by cubature methods for weakly singular integrals as they exist in the literature.
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Additional Information
  • S. A. Sauter
  • Affiliation: Institut für Mathematik, Universität Zürich, Winterthurerstr. 190, CH-8050 Zürich, Switzerland
  • MR Author ID: 313335
  • Email:
  • C. Lage
  • Affiliation: Coyote Systems, 2740 Van Ness Avenue #210, San Francisco, CA 94109
  • Email:
  • Received by editor(s): January 8, 1998
  • Published electronically: June 12, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Math. Comp. 70 (2001), 223-250
  • MSC (2000): Primary 65N38, 65R10, 65R20
  • DOI:
  • MathSciNet review: 1803126