Geodesic
Superconvergence of external approximation for two-point boundary problems
Applications of Mathematics, Tome 32 (1987) no. 1, pp. 25-36.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The superconvergence property of a certain external method for solving two point boundary value problems is established. In the case when piecewise polynomial spaces are applied, it is proved that the convergence rate of the approximate solution at the knot points can exceed the global one.
DOI : 10.21136/AM.1987.104233
Classification : 35B05, 65L10
Keywords: external approximations; superconvergence; external method; Galerkin method; rate of convergence; two-point boundary value problems 
@article{10_21136_AM_1987_104233,
     author = {Regi\'nska, Teresa},
     title = {Superconvergence of external approximation for two-point boundary problems},
     journal = {Applications of Mathematics},
     pages = {25--36},
     publisher = {mathdoc},
     volume = {32},
     number = {1},
     year = {1987},
     doi = {10.21136/AM.1987.104233},
     mrnumber = {0879327},
     zbl = {0641.65064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104233/}
}
TY  - JOUR
AU  - Regińska, Teresa
TI  - Superconvergence of external approximation for two-point boundary problems
JO  - Applications of Mathematics
PY  - 1987
SP  - 25
EP  - 36
VL  - 32
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104233/
DO  - 10.21136/AM.1987.104233
LA  - en
ID  - 10_21136_AM_1987_104233
ER  - 
%0 Journal Article
%A Regińska, Teresa
%T Superconvergence of external approximation for two-point boundary problems
%J Applications of Mathematics
%D 1987
%P 25-36
%V 32
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104233/
%R 10.21136/AM.1987.104233
%G en
%F 10_21136_AM_1987_104233
Regińska, Teresa. Superconvergence of external approximation for two-point boundary problems. Applications of Mathematics, Tome 32 (1987) no. 1, pp. 25-36. doi : 10.21136/AM.1987.104233. http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104233/

Cité par Sources :