The Capriciousness of Numerical Methods for Singular Perturbations
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
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.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 157-173 |
| Number of pages | 17 |
| Journal | Siam review |
| Volume | 53 |
| Issue number | 1 |
| Publication status | Published - 2011 |
| Peer-reviewed | Yes |
External IDs
| Scopus | 79957517415 |
|---|---|
| ORCID | /0000-0002-2458-1597/work/142239716 |
Keywords
Keywords
- singular perturbations, finite differences, finite elements, layer-adapted meshes, BOUNDARY-CONDITIONS, DIFFUSION, STABILIZATION