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The accurate solution of Poisson's equation by expansion in Chebyshev polynomialsA Chebyshev expansion technique is applied to Poisson's equation on a square with homogeneous Dirichlet boundary conditions. The spectral equations are solved in two ways - by alternating direction and by matrix diagonalization methods. Solutions are sought to both oscillatory and mildly singular problems. The accuracy and efficiency of the Chebyshev approach compare favorably with those of standard second- and fourth-order finite-difference methods.
Document ID
19790049964
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Haidvogel, D. B.
(Harvard University Cambridge, Mass., United States)
Zang, T.
(Institute for Computer Applications in Science and Engineering Hampton, Va., United States)
Date Acquired
August 9, 2013
Publication Date
February 1, 1979
Publication Information
Publication: Journal of Computational Physics
Volume: 30
Subject Category
Numerical Analysis
Accession Number
79A33977
Funding Number(s)
CONTRACT_GRANT: NSF IDO-76-00869
CONTRACT_GRANT: NAS1-14101
Distribution Limits
Public
Copyright
Other

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