3 papers
math.NA2024
Performance evaluation of mixed-precision Runge-Kutta methods for the solution of partial differential equations
Ivo Dravins, Marcel Koch, Victoria Griehl +1
This work focuses on the numerical study of a recently published class of Runge-Kutta methods designed for mixed-precision arithmetic. We employ the methods in solving partial diff…
math.NA2023
Fine spectral analysis of preconditioned matrices and matrix-sequences arising from stage-parallel implicit Runge-Kutta methods of arbitrarily high order
Ivo Dravins, Stefano Serra-Capizzano, Maya Neytcheva
The use of high order fully implicit Runge-Kutta methods is of significant importance in the context of the numerical solution of transient partial differential equations, in parti…
math.NA2022
Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit
Peter Munch, Ivo Dravins, Martin Kronbichler +1
We present an implementation of a fully stage-parallel preconditioner for Radau IIA type fully implicit Runge--Kutta methods, which approximates the inverse of from the Butch…