Optimized strong stability preserving IMEX Runge-Kutta methods

@article{Higueras2014OptimizedSS,
  title={Optimized strong stability preserving IMEX Runge-Kutta methods},
  author={Inmaculada Higueras and Natalie Happenhofer and Othmar Koch and Friedrich Kupka},
  journal={J. Computational Applied Mathematics},
  year={2014},
  volume={272},
  pages={116-140}
}
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 similar structure arise. It turns out that besides the optimization of the region of absolute monotonicity, some other properties of the methods are crucial for the success of such simulations. In particular, the models in our focus dictate to also take into account the step… CONTINUE READING