Approximation theory and approximation practice

By:

Trefethen, Lloyd N. (Lloyd Nicholas)

Material type: Text

9789386235442

Subject(s):

DDC classification:

511.4 23 TRE-A

LOC classification:

QA221 .T73 2013

Online resources:

Click here to access online

Contents:

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 10. Best Approximation 11. Hermite Integral Formula 12. Potential Theory and Approximation 13. Equispaced Points, Runge Phenomenon 14. Discussion of High-Order Interpolation 15. Lebesgue Constants 16. Best and Near-Best 17. Orthogonal Polynomials 18. Polynomial Roots and Colleague Matrices 19. Clenshaw—Curtis and Gauss Quadrature 20. Carathéodory-Fejér Approximation 21. Spectral Methods 22. Linear Approximation: Beyond Polynomials 23. Nonlinear Approximation: Why Rational Functions? 24. Rational Best Approximation 25. Two Famous Problems 26. Rational Interpolation and Linearized Least-Squares 27. Padé Approximation 28. Analytic Continuation and Convergence Acceleration Appendix A. Six Myths of Polynomial Interpolation and Quadrature

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Holdings
Item type	Current library	Collection	Call number	Status	Notes	Date due	Barcode	Item holds
Books	IIITD General Stacks	Mathematics	511.4 TRE-A (Browse shelf(Opens below))	Available	Gifted by NBHM		G02496

Total holds: 0

Includes bibliographical references (pages 273-298) and index.

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
10. Best Approximation
11. Hermite Integral Formula
12. Potential Theory and Approximation
13. Equispaced Points, Runge Phenomenon
14. Discussion of High-Order Interpolation
15. Lebesgue Constants
16. Best and Near-Best
17. Orthogonal Polynomials
18. Polynomial Roots and Colleague Matrices
19. Clenshaw—Curtis and Gauss Quadrature
20. Carathéodory-Fejér Approximation
21. Spectral Methods
22. Linear Approximation: Beyond Polynomials
23. Nonlinear Approximation: Why Rational Functions?
24. Rational Best Approximation
25. Two Famous Problems
26. Rational Interpolation and Linearized Least-Squares
27. Padé Approximation
28. Analytic Continuation and Convergence Acceleration
Appendix A. Six Myths of Polynomial Interpolation and Quadrature

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