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arXiv · 1601.03637

Strong-stability-preserving additive linear multistep methods

Yiannis Hadjimichael·David I. Ketcheson
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Abstract

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.

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Yiannis Hadjimichael, David I. Ketcheson. 2016-01-14. Strong-stability-preserving additive linear multistep methods. https://doi.org/10.1090/mcom/3296

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