caa a22 4500 378857789 CHVBK 20180305123339.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0031 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0031 Stynes Martin Department of Mathematics, National University of Ireland, Cork, Ireland. A Jejune Heuristic Mesh Theorem [Elektronische Daten] [Martin Stynes] A singularly perturbed two-point boundary-value problem is considered. Working in the discrete maximum norm, a necessary condition for the convergence (uniformly in the singular perturbation parameter) of general difference schemes on general meshes is proved. This encompasses both a 1976 result of Miller for uniform meshes and more recent results of the same author that deal with piecewise uniform Shishkin meshes. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. singularly perturbed nationallicence uniform convergence nationallicence necessary condition nationallicence Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 488-492 1609-4840 3:3<488 2003 3 cmam https://doi.org/10.2478/cmam-2003-0031 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0031 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Stynes Martin Department of Mathematics, National University of Ireland, Cork, Ireland NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 488-492 1609-4840 3:3<488 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter