Piecewise-smooth chebfuns
Algorithms are described that make it possible to manipulate piecewise-smooth functions on real intervals numerically with close to machine precision. Break points are introduced in some such calculations at points determined by numerical root finding and in others by recursive subdivision or automa...
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| Veröffentlicht in: | IMA journal of numerical analysis 2010-10, Vol.30 (4), p.898-916 |
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| container_end_page | 916 |
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| container_title | IMA journal of numerical analysis |
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| creator | Pachón, Ricardo Platte, Rodrigo B. Trefethen, Lloyd N. |
| description | Algorithms are described that make it possible to manipulate piecewise-smooth functions on real intervals numerically with close to machine precision. Break points are introduced in some such calculations at points determined by numerical root finding and in others by recursive subdivision or automatic edge detection. Functions are represented on each smooth subinterval by Chebyshev series or interpolants. The algorithms are implemented in object-oriented Matlab in an extension of the chebfun system, which was previously limited to smooth functions on [ – 1, 1]. |
| doi_str_mv | 10.1093/imanum/drp008 |
| format | Article |
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| fulltext | fulltext |
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| ispartof | IMA journal of numerical analysis, 2010-10, Vol.30 (4), p.898-916 |
| issn | 0272-4979 1464-3642 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1671324398 |
| source | Oxford University Press Journals All Titles (1996-Current) |
| subjects | Algorithms Approximations and expansions barycentric interpolation chebfun system Chebyshev series Edge detection Exact sciences and technology Mathematical analysis Mathematical models Mathematics Matlab Numerical analysis Numerical analysis. Scientific computation Numerical approximation Object oriented Object-oriented programming Real functions Sciences and techniques of general use Subdivisions |
| title | Piecewise-smooth chebfuns |
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