APPROXIMATION THEORY AND APPROXIMATION PRACTICE TREFETHEN PDF

Bloggat om Approximation Theory and Approximation Pr Introduction; 2. Chebyshev points and interpolants; 3. Chebyshev polynomials and series; 4. Interpolants, projections, and aliasing; 5.

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Bloggat om Approximation Theory and Approximation Pr Introduction; 2. Chebyshev points and interpolants; 3. Chebyshev polynomials and series; 4. Interpolants, projections, and aliasing; 5. Barycentric interpolation formula; 6.

Weierstrass approximation theorem; 7. Convergence for differentiable functions; 8. Convergence for analytic functions; 9. 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; Carathodory - Fejr approximation; Spectral methods; Linear approximation: beyond polynomials; Nonlinear approximation: why rational functions?

Rational best approximation; Two famous problems; Rational interpolation and linearized least-squares; Pad approximation; Analytic continuation and convergence acceleration; Appendix. Six myths of polynomial interpolation and quadrature; References; Index.

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MA3J8 Approximation Theory and Applications

Maunris Write your review here: Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. It is aimed at advanced undergraduates and graduate students across all of applied mathematics. Theorry book differs fundamentally from other works on approximation theory: Approximation Theory and Approximation Practice. How do you rate this product? Approximation Theory and Approximation Practice The emphasis is on topics close to numerical algorithms. Buy in bulk and save.

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