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- Chebyshev_pseudospectral_method abstract "The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. It is part of the larger theory of pseudospectral optimal control, a term coined by Ross. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not immediately offer high-accuracy quadrature solutions. Consequently, two different versions of the method have been proposed: one by Elnagar et al., and another by Fahroo and Ross. The two versions differ in their quadrature techniques. The Fahroo–Ross method is more commonly used today due to the ease in implementation of the Clenshaw–Curtis quadrature technique (in contrast to Elnagar–Kazemi's cell-averaging method). In 2008, Trefethen showed that the Clenshaw–Curtis method was nearly as accurate as Gauss quadrature. This breakthrough result opened the door for a covector mapping theorem for Chebyshev PS methods. A complete mathematical theory for Chebyshev PS methods was finally developed in 2009 by Gong, Ross and Fahroo.".
- Chebyshev_pseudospectral_method wikiPageID "31062931".
- Chebyshev_pseudospectral_method wikiPageLength "4047".
- Chebyshev_pseudospectral_method wikiPageOutDegree "19".
- Chebyshev_pseudospectral_method wikiPageRevisionID "671101078".
- Chebyshev_pseudospectral_method wikiPageWikiLink Bellman_pseudospectral_method.
- Chebyshev_pseudospectral_method wikiPageWikiLink Category:Control_theory.
- Chebyshev_pseudospectral_method wikiPageWikiLink Category:Numerical_analysis.
- Chebyshev_pseudospectral_method wikiPageWikiLink Category:Optimal_control.
- Chebyshev_pseudospectral_method wikiPageWikiLink Chebyshev_polynomials.
- Chebyshev_pseudospectral_method wikiPageWikiLink Clenshaw–Curtis_quadrature.
- Chebyshev_pseudospectral_method wikiPageWikiLink DIDO_(software).
- Chebyshev_pseudospectral_method wikiPageWikiLink Gaussian_quadrature.
- Chebyshev_pseudospectral_method wikiPageWikiLink I._Michael_Ross.
- Chebyshev_pseudospectral_method wikiPageWikiLink Legendre_pseudospectral_method.
- Chebyshev_pseudospectral_method wikiPageWikiLink Optimal_control.
- Chebyshev_pseudospectral_method wikiPageWikiLink Pseudo-spectral_method.
- Chebyshev_pseudospectral_method wikiPageWikiLink Pseudospectral_optimal_control.
- Chebyshev_pseudospectral_method wikiPageWikiLink Ross–Fahroo_lemma.
- Chebyshev_pseudospectral_method wikiPageWikiLink Ross–Fahroo_pseudospectral_method.
- Chebyshev_pseudospectral_method wikiPageWikiLinkText "Chebyshev pseudospectral method".
- Chebyshev_pseudospectral_method wikiPageWikiLinkText "Chebyshev".
- Chebyshev_pseudospectral_method wikiPageUsesTemplate Template:Reflist.
- Chebyshev_pseudospectral_method subject Category:Control_theory.
- Chebyshev_pseudospectral_method subject Category:Numerical_analysis.
- Chebyshev_pseudospectral_method subject Category:Optimal_control.
- Chebyshev_pseudospectral_method type Algorithm.
- Chebyshev_pseudospectral_method comment "The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. It is part of the larger theory of pseudospectral optimal control, a term coined by Ross. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not immediately offer high-accuracy quadrature solutions. Consequently, two different versions of the method have been proposed: one by Elnagar et al., and another by Fahroo and Ross.".
- Chebyshev_pseudospectral_method label "Chebyshev pseudospectral method".
- Chebyshev_pseudospectral_method sameAs Q5089017.
- Chebyshev_pseudospectral_method sameAs m.0gg5dry.
- Chebyshev_pseudospectral_method sameAs Q5089017.
- Chebyshev_pseudospectral_method wasDerivedFrom Chebyshev_pseudospectral_method?oldid=671101078.
- Chebyshev_pseudospectral_method isPrimaryTopicOf Chebyshev_pseudospectral_method.