Geodesic
A piecewise-constant approximation of the solutions of multidimensional weakly singular integral equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 6, pp. 832-849 Cet article a éte moissonné depuis la source Math-Net.Ru

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G. M. Vainikko. A piecewise-constant approximation of the solutions of multidimensional weakly singular integral equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 6, pp. 832-849. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_6_a5/

[1] Vainikko G., “Kusochno-polinomialnaya approksimatsiya resheniya mnogomernogo slabo singulyarnogo integralnogo uravneniya”, Uch. zap. Tartusk. un-ta, 833, 1988, 19–26 | MR

[2] Uba P., “A collocation method with cubic splines to the solution of a multidimensional weakly singular integral equation”, Uch. zap. Tartusk. un-ta, 863, 1989, 19–25 | MR | Zbl

[3] Vainikko G., Uba P., “A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel”, J. Austral. Math. Soc. Ser. B, 22 (1981), 431–438 | DOI | MR | Zbl

[4] Vainikko G., Pedas A., Uba P., Metody resheniya slabo-singulyarnykh integralnykh uravnenii, Izd-vo Tartusk. un-ta, Tartu, 1984 | MR

[5] Graham I. G., “Collocation methods for two dimensional weakly singular integral equations”, J. Austral. Math. Soc. Ser. B, 22 (1981), 456–473 | DOI | MR | Zbl

[6] Vainikko G., “Nekotorye kollokatsionnye metody resheniya mnogomernykh slabo singulyarnykh integralnykh uravnenii”, Numer. Analys. and Math. Modelling, Banach Center Publs., 24, PWN-Polisch Scient. Publs., Warsaw, 1990, 91–105 | MR

[7] Ivanov V. V., Metody vychislenii na EVM, Nauk. dumka, Kiev, 1986 | MR

[8] Tribel Kh., Teoriya interpolyatsii, funktsionalnye prostranstva, differentsialnye operatory, Mir, M., 1980 | MR

[9] Marchuk G. I., Lebedev V. I., Chislennye metody v teorii perenosa neitronov, Atomizdat, M., 1981 | MR

[10] Vainikko G. M., “O gladkosti resheniya mnogomernykh slabo singulyarnykh integralnykh uravnenii”, Matem. sb., 180:12 (1989), 1709–1723 | MR

[11] Pitkäranta J., “Estimates for derivatives of solution to weakly singular Fredholm integral equations”, SIAM J. Math. Analys., 11:6 (1980), 952–968 | DOI | MR

[12] Vainikko G. M., Analiz diskretizatsionnykh metodov, Izd-vo Tartusk. un-ta, Tartu, 1976 | MR

[13] Krasnoselskii M. A., Vainikko G. M., Zabreiko P. P. i dr., Priblizhennoe reshenie operatornykh uravnenii, Nauka, M., 1969 | MR