Approximation theory and approximation practice
Chebyshev points and interpolants -- Chebyshev polynomials and series -- Interpolants, projections, and aliasing -- Barycentric interpolation formula -- Weierstrass approximation theorem -- Convergence for differentiable functions -- Convergence for analytic functions -- Gibbs phenomenon -- Best app...
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| 1. Verfasser: | |
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Philadelphia
Society for Industrial and Applied Mathematics
2019
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| Ausgabe: | Extended edition |
| Schriftenreihe: | Other titles in applied mathematics
164 |
| Schlagworte: | |
| Online Zugang: | Inhaltsverzeichnis zbMATH |
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Tag hinzufügen | Zusammenfassung: | Chebyshev points and interpolants -- Chebyshev polynomials and series -- Interpolants, projections, and aliasing -- Barycentric interpolation formula -- Weierstrass approximation theorem -- Convergence for differentiable functions -- Convergence for analytic functions -- Gibbs phenomenon -- Best approximation -- Hermite integral formula -- Potential theory and approximation -- Equispaced points, runge phenomenon -- Discussion of high-order interpolation -- Lebesgue constants -- Best and near-best -- Orthogonal polynomials -- Polynomial roots and colleague matrices -- Clenshaw-Curtis and Gauss quadrature -- Carathéodory-Fejér approximation -- Spectral methods -- Linear approximation : beyond polynomials -- Nonlinear approximation : why rational functions? -- Rational best approximation -- Two famous problems -- Rational interpolation and linearized least-squares -- Padé approximation -- Analytic continuation and convergence acceleration. "Including two new appendices, this extended edition of Trefethen's textbook covers classical polynomial and rational approximation theory for the twenty-first century"-- |
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| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xi, 363 Seiten Illustrationen |
| ISBN: | 9781611975932 978-1-61197-593-2 9781611975949 |