Strong-stability-preserving additive linear multistep methods
| Autor: | Hadjimichael, Yiannis, Ketcheson, David I. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Math. Comp. 87 (2018), 2295-2320 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/mcom/3296 |
| Popis: | The analysis of strong-stability-preserving (SSP) linear multistep methods is extended to semi-discretized problems for which different terms on the right-hand side satisfy different forward Euler (or circle) conditions. Optimal additive and perturbed monotonicity-preserving linear multistep methods are studied in the context of such problems. Optimal perturbed methods attain larger monotonicity-preserving step sizes when the different forward Euler conditions are taken into account. On the other hand, we show that optimal SSP additive methods achieve a monotonicity-preserving step-size restriction no better than that of the corresponding non-additive SSP linear multistep methods. Comment: 23 pages, 3 figures |
| Databáze: | arXiv |
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