Geodesic
Error estimates for external approximation of ordinary differential equations and the superconvergence property
Applications of Mathematics, Tome 33 (1988) no. 4, pp. 277-290

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

A pointwise error estimate and an estimate in norm are obtained for a class of external methods approximating boundary value problems. Dependence of a superconvergence phenomenon on the external approximation method is studied. In this general framework, superconvergence at the knot points for piecewise polynomial external methods is established.
DOI : 10.21136/AM.1988.104309
Classification : 34B05, 65L10
Keywords: superconvergence; external approximation; pointwise error estimate; finite element subspaces; orthogonal projections; ordinary differential operators 
@article{10_21136_AM_1988_104309,
     author = {Regi\'nska, Teresa},
     title = {Error estimates for external approximation of ordinary differential equations and the superconvergence property},
     journal = {Applications of Mathematics},
     pages = {277--290},
     publisher = {mathdoc},
     volume = {33},
     number = {4},
     year = {1988},
     doi = {10.21136/AM.1988.104309},
     mrnumber = {0949249},
     zbl = {0664.65076},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104309/}
}
TY  - JOUR
AU  - Regińska, Teresa
TI  - Error estimates for external approximation of ordinary differential equations and the superconvergence property
JO  - Applications of Mathematics
PY  - 1988
SP  - 277
EP  - 290
VL  - 33
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104309/
DO  - 10.21136/AM.1988.104309
LA  - en
ID  - 10_21136_AM_1988_104309
ER  - 
%0 Journal Article
%A Regińska, Teresa
%T Error estimates for external approximation of ordinary differential equations and the superconvergence property
%J Applications of Mathematics
%D 1988
%P 277-290
%V 33
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104309/
%R 10.21136/AM.1988.104309
%G en
%F 10_21136_AM_1988_104309
Regińska, Teresa. Error estimates for external approximation of ordinary differential equations and the superconvergence property. Applications of Mathematics, Tome 33 (1988) no. 4, pp. 277-290. doi: 10.21136/AM.1988.104309

Cité par Sources :