Volume 8, Issue 1
Critical Angles of the Nyström Method for Double Layer Potential Equation

Victor D. Didenko and Anh My Vu

10.4208/eajam.210517.071217a

East Asian J. Appl. Math., 8 (2018), pp. 194-210.

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  • Abstract

The Nyström method for double layer potential equations on simple closed piecewise smooth contours is stable if and only if certain operators associated with the opening angles of the corners are invertible. Numerical experiments show that there are opening angles which cause the instability of the method.

  • History

Published online: 2018-02

  • AMS Subject Headings

65R20, 65N38, 45L05

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