When two or more branches of a function merge, the Chebyshev series of u(Ξ») will converge very poorly with coefficients a n of T n (Ξ») falling as O(1/n Ξ± ) for some small positive exponent Ξ±. However, as shown in [J.P. Boyd, Chebyshev polynomial expansions for simultaneous approximation of two branc
β¦ LIBER β¦
A new Chebyshev family with applications to Abel equations
β Scribed by Armengol Gasull; Chengzhi Li; Joan Torregrosa
- Book ID
- 113699130
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 140 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Chebyshev expansion on intervals with br
β
John P. Boyd
π
Article
π
2009
π
Elsevier Science
π
English
β 976 KB
Approximate Solution of Operator Equatio
β
Yu. G. Bulychev; E. Yu. Bulycheva
π
Article
π
2004
π
Springer
π
English
β 99 KB
A new family of biquads with application
β
A. E. Said; N. A. Raslan; M. Elkfafi
π
Article
π
1993
π
Springer
π
English
β 460 KB
Application of the Abel equation to desc
β
V. A. Pogorelov; T. V. Klodina; A. I. Sapozhnikov
π
Article
π
2010
π
Allerton Press, Inc.
π
English
β 185 KB
A new type of convergence with applicati
β
Jean-Bernard Baillon; Michel Thera
π
Article
π
1993
π
Elsevier Science
π
English
β 728 KB
A Chebyshev Polynomial Interval-Searchin
β
John P. Boyd
π
Article
π
1995
π
Elsevier Science
π
English
β 362 KB
To search a given real interval for roots, our algorithm is to replace \(f(\lambda)\) by \(f_{N}(\lambda)\), its \(N\)-term Chebyshev expansion on the search interval \(\lambda \in\left[\lambda_{\min }, \lambda_{\max }\right]\), and compute the roots of this proxy. This strategy is efficient if and