Abstract
We discuss the interpolation strategies related to Richardson extrapolation and repeated Richardson extrapolation. We emphasize that, in most computations, the interest is in obtaining accurate solution on the current computational grid, not that on the coarse level grids on which the extrapolated solutions reside. We tackle the interpolation issue that has largely been overlooked in Richardson extrapolation related applications. We present numerical experiments to support our analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 2935-2939 |
| Number of pages | 5 |
| Journal | Journal of Intelligent and Fuzzy Systems |
| Volume | 31 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2016 |
Bibliographical note
Publisher Copyright:© 2016 - IOS Press and the authors. All rights reserved.
Keywords
- Computational grid
- Richardson extrapolation
- finite difference scheme
- high order solution
- interpolation
ASJC Scopus subject areas
- Statistics and Probability
- Engineering (all)
- Artificial Intelligence