Actions for Supraconvergence and functions that sum to zero on cycles

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Supraconvergence and functions that sum to zero on cycles

Author
Faber, V.
Published
United States : [publisher not identified], 1984
Springfield, Va.: National Technical Information Service, [approximately 1984]
Physical Description
microfiche : negative ; 11 x 15 cm
Additional Creators
White, Jr, A. B.

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Summary
The approximation of differential equation by difference equations defined on a given set of points (x/sub 1/) is an important area of numerical mathermatics. Classical analysis of these methods says that if the truncation error is proportional to ..delta../sup n/ (where ..delta.. = max (x/sub 1/ - x/sub 1-1/)), then the approximation error is also proportional to ..delta../sup n/. Recently, however, we have discovered that this is not necessarily the case for irregular grids; the approximation might be supraconvergent with convergence rate greater than n. We examine this anomaly by looking at periodic meshes.
Report Numbers
DE84013889; LA-UR-84-1746; CONF-8406147-1
Other Subject(s)
Collection
NTIS collection.
Note
DOE contract number: W-7405-ENG-36
OSTI Identifier 7094301
Research organization: Los Alamos National Lab., NM (USA).
View MARC record | catkey: 47343608