NDLI: On Systems of Difference Equations with Wrong Boundary Conditions

Content Provider	Scilit
Author	Osher, Stanley
Copyright Year	1969
Description	Kreiss and Lundquist $[1]$, have recently obtained certain results about the decay of influence of wrong boundary conditions in overdetermined difference approximations to a hyperbolic partial differential equation. We have extended this result to include systems of hyperbolic partial differential equations in several space variables and their corresponding overdetermined difference approximations. The technique of proof involves examining sections of the resolvent of the difference operator for analyticity within the unit circle as in Kreiss $[6]$ and Osher $[2]$.
Related Links	https://www.ams.org/mcom/1969-23-107/S0025-5718-1969-0247785-6/S0025-5718-1969-0247785-6.pdf
Ending Page	572
Page Count	6
Starting Page	567
ISSN	00255718
e-ISSN	10886842
DOI	10.2307/2004384
Journal	Mathematics of Computation
Issue Number	107
Volume Number	23
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Mathematical Physics Difference Equation Boundary Condition
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory Computational Mathematics

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On Systems of Difference Equations with Wrong Boundary Conditions