Geodesic
A family of quadrature formulas for solving boundary integral equations
Numerical methods and programming, Tome 14 (2013) no. 4, pp. 461-467

Voir la notice de l'article provenant de la source Math-Net.Ru

A family of exponentially convergent quadrature formulas is proposed for a class of functions with weak singularity. The results obtained are used to solve the boundary integral equations of harmonic potential theory in domains with corner points.
Keywords: double-layer potential; integral equations; corner points; condensing grids; quadrature method. 
@article{VMP_2013_14_4_a4,
     author = {I. O. Arushanyan},
     title = {A family of quadrature formulas for solving boundary integral equations},
     journal = {Numerical methods and programming},
     pages = {461--467},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2013_14_4_a4/}
}
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I. O. Arushanyan. A family of quadrature formulas for solving boundary integral equations. Numerical methods and programming, Tome 14 (2013) no. 4, pp. 461-467. http://geodesic.mathdoc.fr/item/VMP_2013_14_4_a4/