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Some stability theorems for finite difference collocation methods on nonuniform meshes
Authors:Eusebius J Doedel
Institution:(1) Computer Science Department, Concordia University, 1455 De Maisonneuve Blvd. W., Montreal, Quebec, Canada
Abstract:A class of compact finite difference collocation methods is shown to be stable on general nonuniform meshes without the assumption of a bounded mesh ratio. Some error estimates are included.This work was supported by U.S. Army grant No. DAAG29-78-G-0126 and by FCAC (Québec) grant No. EQ-1438.
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