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On time discretizations for spectral methodsNew methods are introduced for the time integration of the Fourier and Chebyshev methods of solution for dynamic differential equations. These methods are unconditionally stable, even though no matrix inversions are required. Time steps are chosen by accuracy requirements alone. For the Fourier method both leapfrog and Runge-Kutta methods are considered. For the Chebyshev method only Runge-Kutta schemes are tested. Numerical calculations are presented to verify the analytic results. Applications to the shallow water equations are presented.
Document ID
19810044641
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Gottlieb, D.
(New York Univ. New York, NY, United States)
Turkel, E.
(New York University New York, N.Y., United States)
Date Acquired
August 11, 2013
Publication Date
August 1, 1980
Publication Information
Publication: Studies in Applied Mathematics
Volume: 63
Subject Category
Numerical Analysis
Accession Number
81A29045
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-77-3405
CONTRACT_GRANT: NAS1-14101
CONTRACT_GRANT: EY-76-C-02-3077
Distribution Limits
Public
Copyright
Other

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