Abstract
In this paper we show that standard preconditioners for parabolic PDEs discretized by implicit Euler or Crank–Nicolson schemes can be reused for higher‐order fully implicit Runge–Kutta time discretization schemes. We prove that the suggested block diagonal preconditioners are order‐optimal for A‐stable and irreducible Runge–Kutta schemes with invertible coefficient matrices. The theoretical investigations are confirmed by numerical experiments.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.