Strong-stability-preserving additive linear multistep methods

Yiannis Hadjimichael, David I. Ketcheson

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 perturbed and additive 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 nonadditive SSP linear multistep methods.
Original languageEnglish (US)
Pages (from-to)2295-2320
Number of pages26
JournalMathematics of Computation
Issue number313
StatePublished - Feb 20 2018

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The authors would like to thank the anonymous referees for their suggestions that significantly improved the paper. Also, they would like to thank Lajos Loczi and Inmaculada Higueras for carefully reading this manuscript and making valuable comments.


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