Naslov
Numerical Methods III - Approximation of Functions

Autori
Obsieger, Boris

Vrsta, podvrsta i kategorija knjige
Autorske knjige, monografija, znanstvena

Grad
Rijeka

Godina
2011

Stranica
256

ISBN
978-953-6326-68-6

Ključne riječi
Numerical methods; approximation; polynomial expansion; Taylor series; Maclaurin series; Pade approximant; orthogonal series; orthogonal functions; orthogonal polynomials; Legendre polynomials; Jacobi polynomials; Laguerre polynomials; Hermite polynomials; Zernike polynomials; Gram polynomials; Chebyshev polynomials; Chebyshev rational functions; least-squares; Fourier series expansion; uniform approximation; Chebyshev economisation; algorithm

Sažetak
Book systematically presents various approximations of functions based on researches of Chebyshev, Fourier, Gauss, Gibbs, Gram, Hermite, Lagrange, Laguerre Legendre, Maclaurin, Pade, Remez, Rodrigues and Taylor. It systematizes various kinds of expansions, least-squares approximation, uniform approximation and approximation with orthogonal functions and orthogonal polynomials. Chebyshev series are used in almost uniform approximation, as well as economisation of existing approximation formulas. Practical application is supported by 35 algorithms and 40 examples. Algorithms are written in the pseudo-code, so they can be easily interpreted. The book also provides a valuable background for understanding various numerical methods based on interpolation and numerical integration.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Računarstvo, Strojarstvo

POVEZANOST RADA