Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule
Applications of Mathematics, Tome 23 (1978) no. 6, pp. 439-452.

Voir la notice de l'article dans Czech Digital Mathematics Library

The Lobatto-Jacobi numerical integration rule can be extended so as to apply to the numerical evaluation of Cauchy type principal value integrals and the numerical solution of singular intergral equations with Cauchy type kernels by reduction to systems of linear equations. To this end, the integrals in such a singular integral equation are replaced by sums, as if they were regular integrals, after the singular integral equation is applied at appropriately selected points of the integration interval. An application of this method of numerical solution of singular integral equations is made in the case of a problem of the theory of plane elasticity.
DOI : 10.21136/AM.1978.103770
Classification : 45E05, 45L10, 65R20
Mots-clés : Lobatto-Jacobi numerical integration rule; Cauchy type principal value integrals; singular integral equations; Cauchy type kernels 
@article{10_21136_AM_1978_103770,
     author = {Ioakimidis, Nikolaos I. and Theocaris, P. S.},
     title = {Numerical solution of {Cauchy} type singular integral equations by use of the {Lobatto-Jacobi} numerical integration rule},
     journal = {Applications of Mathematics},
     pages = {439--452},
     publisher = {mathdoc},
     volume = {23},
     number = {6},
     year = {1978},
     doi = {10.21136/AM.1978.103770},
     mrnumber = {0508546},
     zbl = {0427.65087},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103770/}
}
TY  - JOUR
AU  - Ioakimidis, Nikolaos I.
AU  - Theocaris, P. S.
TI  - Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule
JO  - Applications of Mathematics
PY  - 1978
SP  - 439
EP  - 452
VL  - 23
IS  - 6
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103770/
DO  - 10.21136/AM.1978.103770
LA  - en
ID  - 10_21136_AM_1978_103770
ER  - 
%0 Journal Article
%A Ioakimidis, Nikolaos I.
%A Theocaris, P. S.
%T Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule
%J Applications of Mathematics
%D 1978
%P 439-452
%V 23
%N 6
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103770/
%R 10.21136/AM.1978.103770
%G en
%F 10_21136_AM_1978_103770
Ioakimidis, Nikolaos I.; Theocaris, P. S. Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule. Applications of Mathematics, Tome 23 (1978) no. 6, pp. 439-452. doi : 10.21136/AM.1978.103770. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103770/

Cité par Sources :