134 citations · 337 across the 20 of their papers we have counts for
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math.NA2018★ 6 cited
DIRK Schemes with High Weak Stage Order
David Ketcheson, Benjamin Seibold, David Shirokoff +1
Runge-Kutta time-stepping methods in general suffer from order reduction: the observed order of convergence may be less than the formal order when applied to certain stiff problems…
math.NA2018★ 26 cited
Unconditional Stability for Multistep ImEx Schemes: Practice
Benjamin Seibold, David Shirokoff, Dong Zhou
This paper focuses on the question of how unconditional stability can be achieved via multistep ImEx schemes, in practice problems where both the implicit and explicit terms are al…