| Title | Adaptive Time-Stepping and Computational Stability |
| Authors | Gustaf Söderlind, Lina Wang |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Computational and Applied Mathematics |
| Year | 2006 |
| Volume | 185 |
| Pages | 225 - 243 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier Science B.V. |
| Abstract English | We investigate the effects of adaptive time-stepping and other algorithmic strategies on the computational stability of ODE codes. We show that carefully designed adaptive algorithms have a most significant impact on computational stability and reliability. A series of computational experiments with the standard implementation of Dassl and a modified version, including stepsize control based on digital filters, is used to demonstrate that relatively small algorithmic changes are able to extract a vastly better computational stability at no extra expense. The inherent performance and stability of Dassl are therefore much greater than the standard implementation seems to suggest. |
| Keywords | Computational stability stepsize control adaptive time-stepping PI control digital filters Dassl mathematical software algorithm analysis, |
| ISBN/ISSN/Other | ISSN: 0377-0427 |
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