Imme Berg - A discrete free boundary problem

arima:1994 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, August 29, 2015, Volume 20 - 2015 - Special issue - Colloquium in Honor of Éric Benoît - https://doi.org/10.46298/arima.1994
A discrete free boundary problemArticle

Authors: Imme Berg 1

  • 1 Departamento de Matemática da Universidade de Évora

We study the free boundary problem in a nonstandard setting of infinitesimal discretisations of the heat equation. In particular we derive regularity results of solutions and the free boundary, in terms of S-continuity and S-differentiability

https://doi.org/10.46298/arima.1994
Source: HAL:hal-01320618v1
Volume: Volume 20 - 2015 - Special issue - Colloquium in Honor of Éric Benoît
Published on: August 29, 2015
Submitted on: February 6, 2015
Keywords: Free boundary problem, discrete heat equation, S-continuity, S-differentiability, nonstandard analysis.,Problème de frontière libre, équation de la chaleur discrète, S-continuité, S-dérivabilité, analyse non-standard.,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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