Geodesic
On a case of equivalence between the collocation method and the Galerkin method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 4, pp. 686-693 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2004_44_4_a10,
     author = {D. V. Savostyanov and E. E. Tyrtyshnikov},
     title = {On a case of equivalence between the collocation method and the {Galerkin} method},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {686--693},
     year = {2004},
     volume = {44},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_4_a10/}
}
TY  - JOUR
AU  - D. V. Savostyanov
AU  - E. E. Tyrtyshnikov
TI  - On a case of equivalence between the collocation method and the Galerkin method
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 686
EP  - 693
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_4_a10/
LA  - ru
ID  - ZVMMF_2004_44_4_a10
ER  - 
%0 Journal Article
%A D. V. Savostyanov
%A E. E. Tyrtyshnikov
%T On a case of equivalence between the collocation method and the Galerkin method
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 686-693
%V 44
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_4_a10/
%G ru
%F ZVMMF_2004_44_4_a10
D. V. Savostyanov; E. E. Tyrtyshnikov. On a case of equivalence between the collocation method and the Galerkin method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 4, pp. 686-693. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_4_a10/

[1] Dmitriev V. I., Zakharov E. V., Integralnye uravneniya v kraevykh zadachakh elektrodinamiki, Izd-vo MGU, M., 1987 | MR

[2] Kolton D., Kress R., Metody integralnykh uravnenii v teorii rasseyaniya, Mir, M., 1987 ; Colton D., Kress R., Integral equation methods in scattering theory, John Wiley Sons, New York etc., 1983 | MR | MR | Zbl

[3] Hsiao G. C., Wendland W. L., “A finite element method for some integral equations of the first kind”, J. Math. Analys. and Appl., 58 (1997), 449–481 | DOI | MR

[4] Prößdorf S., Silbermann B., Numerical analysis for integral and related operator equations, Birkhäuser, Basel etc., 1991 | MR

[5] Tyrtyshnikov E., A brief introduction to numerical analysis, Birkhäuser, Basel etc., 1997 | MR | Zbl

[6] McLean W., Prößdorf S., Wendland W. L., “A fully discrete trigonometric collocation method”, J. Integral. Equat. Appl., 5:1 (1993), 103–129 | DOI | MR | Zbl

[7] Gabdulkhaev B. G., Pryamye metody resheniya singulyarnykh integralnykh uravnenii pervogo roda, Izd-vo Kazanskogo un-ta, Kazan, 1994 | MR

[8] Gabdulkhaev B. G., Chislennyi analiz singulyarnykh integralnykh uravnenii. Izbrannye glavy, Izd-vo Kazanskogo un-ta, Kazan, 1995 | MR

[9] Voevodin V. V., Tyrtyshnikov E. E., Vychislitelnye protsessy s teplitsevymi matritsami, Nauka, M., 1987 | MR | Zbl

[10] Tyrtyshnikov E., Chan H., “Spectral equivalence and proper clusters for boundary element method matrices”, Internat. J. Numer. Meth. in Engng., 49 (2000), 1211–1224 | 3.0.CO;2-X class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl

[11] Tyrtyshnikov E., “Structured preconditioned for some operator equations”, Numer. Linear Algebra Appl., 11 (2004) (to appear) | MR