Efficient Order-Optimal Preconditioners for Implicit Runge-Kutta and Runge-Kutta-Nyström Methods Applicable to a Large Class of Parabolic and Hyperbolic PDEs

Michael R. Clines, Victoria E. Howle, Katharine R. Long

We generalize previous work by Mardal, Nilssen, and Staff (2007, SIAM J. Sci. Comp. v. 29, pp. 361-375) and Rana, Howle, Long, Meek, and Milestone (2021, SIAM J. Sci. Comp. v. 43,…