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.
@article{104233, author = {Teresa Regi\'nska}, title = {Superconvergence of external approximation for two-point boundary problems}, journal = {Applications of Mathematics}, volume = {32}, year = {1987}, pages = {25-36}, zbl = {0641.65064}, mrnumber = {0879327}, language = {en}, url = {http://dml.mathdoc.fr/item/104233} }
Regińska, Teresa. Superconvergence of external approximation for two-point boundary problems. Applications of Mathematics, Tome 32 (1987) pp. 25-36. http://gdmltest.u-ga.fr/item/104233/
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