NDLI: Regions of stability, equivalence theorems and the Courant-Friedrichs-Lewy condition

Content Provider	Semantic Scholar
Author	Sanz-Serna, Jesús M. Spijker, M. N.
Copyright Year	1986
Abstract	SummaryThe celebrated CFL condition for discretizations of hyperbolic PDEs is shown to be equivalent to some results of Jeltsch and Nevanlinna concerning regions of stability ofk-step,m-stage linear methods for the integration of ODEs. We characterize the methods for the numerical integration of the model equation,ut=ux which are weakly stable when the mesh-ratio takes the maximum value allowed by the CFL condition. We provide new equivalence theorems between stability and convergence, which improve on the classical results.
Starting Page	319
Ending Page	329
Page Count	11
File Format	PDF HTM / HTML
DOI	10.1007/BF01389633
Volume Number	49
Alternate Webpage(s)	https://page-one.springer.com/pdf/preview/10.1007/BF01389633
Alternate Webpage(s)	https://doi.org/10.1007/BF01389633
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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