Spectral Filtering for Improved Performance of Collocation Discretization Methods
dc.contributor.author | Adomaitis, Raymond A. | en_US |
dc.contributor.department | ISR | en_US |
dc.date.accessioned | 2007-05-23T10:09:13Z | |
dc.date.available | 2007-05-23T10:09:13Z | |
dc.date.issued | 2000 | en_US |
dc.description.abstract | Spectral 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.extent | 1480547 bytes | |
dc.format.mimetype | application/pdf | |
dc.identifier.uri | http://hdl.handle.net/1903/6125 | |
dc.language.iso | en_US | en_US |
dc.relation.ispartofseries | ISR; TR 2000-6 | en_US |
dc.subject | orthogonal collocation | en_US |
dc.subject | spectral filtering | en_US |
dc.subject | Galerkin method | en_US |
dc.subject | numerical analysis | en_US |
dc.subject | Gibbs phenomenon | en_US |
dc.subject | Intelligent Control Systems | en_US |
dc.title | Spectral Filtering for Improved Performance of Collocation Discretization Methods | en_US |
dc.type | Technical Report | en_US |
Files
Original bundle
1 - 1 of 1