A Generalized-Structure Approach to Additive Runge-Kutta Methods

@article{Sandu2015AGA,
  title={A Generalized-Structure Approach to Additive Runge-Kutta Methods},
  author={Adrian Sandu and Michael G{\"u}nther},
  journal={SIAM J. Numerical Analysis},
  year={2015},
  volume={53},
  pages={17-42}
}
This work considers a general structure of the additively partitioned Runge–Kutta methods by allowing for different stage values as arguments of different components of the right-hand side. An order conditions theory is developed for the new formulation of generalized additive methods, and stability and monotonicity investigations are carried out. The paper discusses the construction and properties of implicit-explicit and implicit-implicit methods in the new framework. The new approach, named… CONTINUE READING

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