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.
@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/}
}
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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/