A quadrature formula for the derivative of logarithmic potentials
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 68 (2020), pp. 5-22
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A new method for constructing a quadrature formula for a curvilinear singular integral is given, and on the basis of this method, quadrature formulas for the derivative of the logarithmic potential of a simple layer and the normal derivative of the logarithmic potential of a double layer are constructed.
Mots-clés :
quadrature formula
Keywords: curvilinear singular integral, derivative of the logarithmic potential of a simple layer, normal derivative of the logarithmic potential of a double layer.
Keywords: curvilinear singular integral, derivative of the logarithmic potential of a simple layer, normal derivative of the logarithmic potential of a double layer.
@article{VTGU_2020_68_a0,
author = {M. N. Bakhshaliyeva},
title = {A quadrature formula for the derivative of logarithmic potentials},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {5--22},
publisher = {mathdoc},
number = {68},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2020_68_a0/}
}
TY - JOUR AU - M. N. Bakhshaliyeva TI - A quadrature formula for the derivative of logarithmic potentials JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2020 SP - 5 EP - 22 IS - 68 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2020_68_a0/ LA - ru ID - VTGU_2020_68_a0 ER -
M. N. Bakhshaliyeva. A quadrature formula for the derivative of logarithmic potentials. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 68 (2020), pp. 5-22. http://geodesic.mathdoc.fr/item/VTGU_2020_68_a0/