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Optimized strong stability preserving IMEX Runge-Kutta methods
(2014)
Artículo / Artikulua,
We construct and analyze robust strong stability preserving IMplicit-EXplicit Runge-Kutta (IMEX RK) methods for models of flow with diffusion as they appear in astrophysics and in many other fields where equations with ...
Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements
(Springer US, 2016)
Artículo / Artikulua,
Space discretization of some time-dependent partial differential equations gives rise to systems of
ordinary differential equations in additive form whose terms have different stiffness properties. In these
cases, implicit ...
Order barrier for low-storage DIRK methods with positive weights
(Springer, 2018)
Artículo / Artikulua,
In this paper we study an order barrier for low-storage diagonally implicit Runge-Kutta (DIRK) methods with positive weights. The Butcher matrix for these schemes, that can be implemented with only two memory registers in ...
Optimal monotonicity-preserving perturbations of a given Runge–Kutta method
(Springer, 2018)
info:eu-repo/semantics/article,
Perturbed Runge–Kutta methods (also referred to as downwind Runge–Kutta methods) can guarantee monotonicity preservation under larger step sizes relative to their traditional Runge–Kutta counterparts. In this paper we study ...