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Multigrid-sinc methodsA Galerkin method using Whittaker cardinal or 'sinc' functions as basis functions is described for the solution of boundary-value problems. When the solution is analytic in the interior of the domain, the error of approximation using 2N + 1 points is O(e exp /-gamma sq rt N/) even if derivatives of the solution are singular at the boundaries. A multigrid method with overall complexity O(N log N) is used to solve the discrete equations. This paper contains a description of the multigrid-sinc algorithm along with some preliminary numerical results for two-point boundary-value problems.
Document ID
19870065591
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Schaffer, Steve
(NASA Lewis Research Center Cleveland, OH, United States)
Stenger, Frank
(Utah, University Salt Lake City, United States)
Date Acquired
August 13, 2013
Publication Date
July 1, 1986
Publication Information
Publication: Applied Mathematics and Computation
Volume: 19
ISSN: 0096-3003
Subject Category
Numerical Analysis
Accession Number
87A52865
Distribution Limits
Public
Copyright
Other

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