Geodesic
Method of boundary integral equations with hypersingular integrals in boundary-value problems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Tome 160 (2019), pp. 114-125

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

In this paper, we formulate mathematical foundations of applications of boundary integral equations with strongly singular integrals understood in the sense of finite Hadamard value to numerical solution of certain boundary-value problems. We describe numerical schemes for solving boundary strongly singular equations based on quadrature formulas and the collocation method. Also, we make references to known results on the mathematical justification of the numerical methods described in the paper.
Keywords: hypersingular integral, boundary integral equation, boundary-value problem, numerical methods. 
@article{INTO_2019_160_a12,
     author = {A. V. Setukha},
     title = {Method of boundary integral equations with hypersingular integrals in boundary-value problems},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {114--125},
     publisher = {mathdoc},
     volume = {160},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_160_a12/}
}
TY  - JOUR
AU  - A. V. Setukha
TI  - Method of boundary integral equations with hypersingular integrals in boundary-value problems
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2019
SP  - 114
EP  - 125
VL  - 160
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2019_160_a12/
LA  - ru
ID  - INTO_2019_160_a12
ER  - 
%0 Journal Article
%A A. V. Setukha
%T Method of boundary integral equations with hypersingular integrals in boundary-value problems
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2019
%P 114-125
%V 160
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2019_160_a12/
%G ru
%F INTO_2019_160_a12
A. V. Setukha. Method of boundary integral equations with hypersingular integrals in boundary-value problems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Tome 160 (2019), pp. 114-125. http://geodesic.mathdoc.fr/item/INTO_2019_160_a12/