Interpolation and Approximation by Polynomials.pdf

Interpolation and Approximation by Polynomials PDF

George-M Phillips

This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics. In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples, and each section ends with a number of carefully selected problems that extend the students understanding of the text.

6.1 Polynomial Interpolation We will begin by studying polynomials. There are several motivating factors for doing this: • Everyone is familiar with polynomials. • Polynomials can be easily and efficiently evaluated using Horner’s algorithm. • We may have heard of the Weierstrass Approximation Theorem which states that

6.79 MB Taille du fichier
9780387002156 ISBN
Interpolation and Approximation by Polynomials.pdf

Technik

PC et Mac

Lisez l'eBook immédiatement après l'avoir téléchargé via "Lire maintenant" dans votre navigateur ou avec le logiciel de lecture gratuit Adobe Digital Editions.

iOS & Android

Pour tablettes et smartphones: notre application de lecture tolino gratuite

eBook Reader

Téléchargez l'eBook directement sur le lecteur dans la boutique www.turossheadcountryclub.com.au ou transférez-le avec le logiciel gratuit Sony READER FOR PC / Mac ou Adobe Digital Editions.

Reader

Après la synchronisation automatique, ouvrez le livre électronique sur le lecteur ou transférez-le manuellement sur votre appareil tolino à l'aide du logiciel gratuit Adobe Digital Editions.

Notes actuelles

avatar
Sofya Voigtuh

Polynomial Interpolation:Polynomial Interpolation: 1/5 zIn many applications, we know a function butIn many applications, we know a function but don’t know its exact form. For example: /2 1 0 22 1sin()sin K kdx kx π = − ∫ zThe above shows a function of k.But, what is

avatar
Mattio Müllers

Polynomial approximation and interpolation. Approximation. The word approximation comes from Latin and means approximately “bringing something close ... Interpolation is the process of finding a polynomial that passes through such a set of 1 n+ data points. In this article, we consider the Lagrange interpolating formula  ...

avatar
Noels Schulzen

Interpolation and Polynomial Approximation

avatar
Jason Leghmann

deal with the case where we want a polynomial to pass exactly through the given data, that is, an interpolating polynomial. Lagrange interpolation. Suppose that ...

avatar
Jessica Kolhmann

CHEBYSHEV_POLYNOMIAL, a MATLAB library which evaluates the Chebyshev polynomial and associated functions. Interpolation and Approximation, Dover, 1975, ISBN: 0-486-62495-1, LC: QA221.D33 William Press, Brian Flannery, Saul Teukolsky, William Vetterling, Numerical Recipes in C: The Art of Scientific Computing, Cambridge University Press, 1988, ISBN: 0-521-35465-X, LC: …