On supraconvergence phenomenon for second order centered finite differences on non-uniform grids

Abstract : In the present study we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon. We show that usual central finite differences, which are second order accurate on a uniform grid, can be substantially upgraded to the fourth order by a suitable choice of the underlying non-uniform grid. This example is quite pedagogical and may give some ideas for more complex problems.
Type de document :
Pré-publication, Document de travail
26 pages, 2 figures, 2 tables, 37 references. Other author's papers can be downloaded at http://w.. 2017
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https://hal.archives-ouvertes.fr/hal-01223522
Contributeur : Denys Dutykh <>
Soumis le : dimanche 9 avril 2017 - 18:21:15
Dernière modification le : mercredi 12 avril 2017 - 01:06:18

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GK-DD-FiniteDiff-2017.pdf
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Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale - Pas de modification 4.0 International License

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  • HAL Id : hal-01223522, version 5
  • ARXIV : 1511.02770

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Gayaz Khakimzyanov, Denys Dutykh. On supraconvergence phenomenon for second order centered finite differences on non-uniform grids. 26 pages, 2 figures, 2 tables, 37 references. Other author's papers can be downloaded at http://w.. 2017. <hal-01223522v5>

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