Critical Angles of the Nyström Method for Double Layer Potential Equation
East Asian J. Appl. Math., 8 (2018), pp. 194-210.
Published online: 2018-02
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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://doi.org/10.4208/eajam.210517.071217a
UR - https://global-sci.org/intro/article_detail/eajam/10892.html
KW - Double layer potential equation, Nyström method, stability, 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 and Anh My Vu. (2018). 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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