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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 ...
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 ...
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 ...