# Error estimates for external approximation of ordinary differential equations and the superconvergence property

Aplikace matematiky (1988)

- Volume: 33, Issue: 4, page 277-290
- ISSN: 0862-7940

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topRegińska, Teresa. "Error estimates for external approximation of ordinary differential equations and the superconvergence property." Aplikace matematiky 33.4 (1988): 277-290. <http://eudml.org/doc/15543>.

@article{Regińska1988,

abstract = {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.},

author = {Regińska, Teresa},

journal = {Aplikace matematiky},

keywords = {superconvergence; external approximation; pointwise error estimate; finite element subspaces; orthogonal projections; ordinary differential operators; Superconvergence; external approximation; pointwise error estimate; finite element subspaces; orthogonal projections},

language = {eng},

number = {4},

pages = {277-290},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Error estimates for external approximation of ordinary differential equations and the superconvergence property},

url = {http://eudml.org/doc/15543},

volume = {33},

year = {1988},

}

TY - JOUR

AU - Regińska, Teresa

TI - Error estimates for external approximation of ordinary differential equations and the superconvergence property

JO - Aplikace matematiky

PY - 1988

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 33

IS - 4

SP - 277

EP - 290

AB - 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.

LA - eng

KW - superconvergence; external approximation; pointwise error estimate; finite element subspaces; orthogonal projections; ordinary differential operators; Superconvergence; external approximation; pointwise error estimate; finite element subspaces; orthogonal projections

UR - http://eudml.org/doc/15543

ER -

## References

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