Geodesic
A cubature method for solving one class of multidimensional weakly singular integral equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 3-13

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In this paper we consider one class of two-dimensional weakly singular integral equations of the second kind on a circumference. We theoretically substantiate the applicability of a cubature method based on a special cubature formula for solving equations of the mentioned class.
Keywords: weighted Lebesgue space, integral equation, weakly singular integral, cubature method, error estimate.
Mots-clés : Gauss quadrature formula, convergence 
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     author = {Yu. R. Agachev and R. K. Gubaidullina},
     title = {A cubature method for solving one class of multidimensional weakly singular integral equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--13},
     publisher = {mathdoc},
     number = {12},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_12_a0/}
}
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Yu. R. Agachev; R. K. Gubaidullina. A cubature method for solving one class of multidimensional weakly singular integral equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 3-13. http://geodesic.mathdoc.fr/item/IVM_2009_12_a0/