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| Title: |
Mappings and accuracy for Chebyshev pseudo-spectral approximations
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| Author(s): |
Bayliss, Alvin; Turkel, Eli
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| Abstract: |
The effect of mappings on the approximation, by Chebyshev collocation, of functions which exhibit localized regions of rapid variation is studied. A general strategy is introduced whereby mappings are adaptively constructed which map specified classes of rapidly varying functions into low order polynomials which can be accurately approximated by Chebyshev polynomial expansions. A particular family of mappings constructed in this way is tested on a variety of rapidly varying functions similar to those occurring in approximations. It is shown that the mapped function can be approximated much more accurately by Chebyshev polynomial approximations than in physical space or where mappings constructed from other strategies are employed.
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| NASA Center: |
Glenn Research Center
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| Publication Date: |
Dec 1, 1990
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| Document Source: |
CASI |
| Online Source: |
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| Document ID: |
19910005468
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| Accession ID: |
91N14781
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| Publication Information: |
Number of Pages = 21 |
| Report Number: |
E-5798; ICOMP-90-24; NAS 1.15:103630; NASA-TM-103630
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| Contract-Grant-Task Number: |
NASA ORDER C-99066-G |
| Price Code: |
A03 |
| Keywords: |
CHEBYSHEV APPROXIMATION; COLLOCATION; FUNCTIONS (MATHEMATICS); MAPPING; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; SPECTRAL METHODS; ACCURACY; ERRORS; PROBLEM SOLVING; VARIATIONS;
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| Accessibility: |
Unclassified; No Copyright; Unlimited; Publicly available; |
| Updated/Added to NTRS: |
2008-08-04 |
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