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math.NA2019★ 4 cited
Efficient IMEX Runge-Kutta methods for nonhydrostatic dynamics
Andrew Steyer, Christopher J. Vogl, Mark Taylor +1
We analyze the stability and accuracy (up to third order) of a new family of implicit-explicit Runge-Kutta (IMEX RK) methods. This analysis expedites development of methods with va…
math.NA2019
Evaluation of Implicit-Explicit Additive Runge-Kutta Integrators for the HOMME-NH Dynamical Core
Christopher J. Vogl, Andrew Steyer, Daniel R. Reynolds +2
The nonhydrostatic High Order Method Modeling Environment (HOMME-NH) atmospheric dynamical core supports acoustic waves that propagate significantly faster than the advective wind…