Abstract

This note announces that the stability region of the MacCormack scheme for the scalar advection equation u t = au x + bu y is exactly given by a Δt Δx 2 3 + b Δt Δy 2 3 ≥ 1 where Δ t , Δ x and Δ y are the grid distances. This improves upon the result obtained by Wendroff [1] and corrects a mistake in it.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

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.