The Capriciousness of Numerical Methods for Singular Perturbations

  • Authors:
  • Sebastian Franz;Hans-Görg Roos

  • Affiliations:
  • sebastian.franz@ul.ie;hans-goerg.roos@tu-dresden.de

  • Venue:
  • SIAM Review
  • Year:
  • 2011

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Abstract

A collection of typical examples shows the exotic behavior of numerical methods when applied to singular perturbation problems. While standard meshes are used in the first six examples, even on layer-adapted meshes several surprising phenomena are shown to occur.