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Spectral Filtering for Improved Performance of Collocation Discretization Methods

dc.contributor.authorAdomaitis, Raymond A.en_US
dc.description.abstractSpectral filtering methods are investigated for use in reducing the Gibbs oscillations that result when discontinuous functions are projected onto globally definedtrial function expansions. Several physical-space filters are studied in the context of a high-degree, mixed collocation method used for time integration of a nonlinear boundary value problem with a piece-wise continuous, time-dependentboundary condition. Improved accuracy is reported, both in terms of point-wiseand norm-wise solution convergence, making the filtered global collocationapproach a potential alternative to spline formulations in some applications.en_US
dc.format.extent1480547 bytes
dc.relation.ispartofseriesISR; TR 2000-6en_US
dc.subjectorthogonal collocationen_US
dc.subjectspectral filteringen_US
dc.subjectGalerkin methoden_US
dc.subjectnumerical analysisen_US
dc.subjectGibbs phenomenonen_US
dc.subjectIntelligent Control Systemsen_US
dc.titleSpectral Filtering for Improved Performance of Collocation Discretization Methodsen_US
dc.typeTechnical Reporten_US

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