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math.NA2022
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,…
math.NA2020
A New Block Preconditioner for Implicit Runge-Kutta Methods for Parabolic PDE Problems
Md Masud Rana, Victoria E. Howle, Katharine Long +2
A new preconditioner based on a block factorization with algebraic multigrid subsolves for scalability is introduced for the large, structured systems appearing in implicit R…