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

Victor D. Didenko & Anh My Vu

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

Published online: 2018-02

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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.

  • Keywords

Double layer potential equation Nyström method stability critical angles

  • AMS Subject Headings

65R20 65N38 45L05

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-194, author = {Victor D. Didenko and Anh My Vu}, title = {Critical Angles of the Nyström Method for Double Layer Potential Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {1}, pages = {194--210}, 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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.210517.071217a}, url = {http://global-sci.org/intro/article_detail/eajam/10892.html} }
TY - JOUR T1 - Critical Angles of the Nyström Method for Double Layer Potential Equation AU - Victor D. Didenko & Anh My Vu JO - East Asian Journal on Applied Mathematics VL - 1 SP - 194 EP - 210 PY - 2018 DA - 2018/02 SN - 8 DO - http://dor.org/10.4208/eajam.210517.071217a UR - https://global-sci.org/intro/article_detail/eajam/10892.html KW - Double layer potential equation KW - Nyström method KW - stability KW - critical angles AB -

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.

Victor D. Didenko & Anh My Vu. (1970). Critical Angles of the Nyström Method for Double Layer Potential Equation. East Asian Journal on Applied Mathematics. 8 (1). 194-210. doi:10.4208/eajam.210517.071217a
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