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On the stability of the unsmoothed Fourier method for hyperbolic equations

✍ Scribed by Jonathan Goodman; Thomas Hou; Eitan Tadmor

Publisher: Springer-Verlag
Year: 1994
Tongue: English
Weight: 486 KB
Volume: 67
Category: Article
ISSN: 0029-599X
DOI: 10.1007/s002110050019

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## Abstract In this paper we reexamine a previously proposed quadrature scheme, [VENTURINO], based on a formula proposed in [STENGER, 1976]. Our goal is to establish a stability result for the dominant singular integral equation of index one, and from it derive the error analysis for the proposed n