Non-Fiction Books:

Generation of Multivariate Hermite Interpolating Polynomials

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Paperback / softback

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Generation of Multivariate Hermite Interpolating Polynomials by Santiago Alves Tavares
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Description

Generation of Multivariate Hermite Interpolating Polynomials advances the study of approximate solutions to partial differential equations by presenting a novel approach that employs Hermite interpolating polynomials and bysupplying algorithms useful in applying this approach. Organized into three sections, the book begins with a thorough examination of constrained numbers, which form the basis for constructing interpolating polynomials. The author develops their geometric representation in coordinate systems in several dimensions and presents generating algorithms for each level number. He then discusses their applications in computing the derivative of the product of functions of several variables and in the construction of expression for n-dimensional natural numbers. Section II focuses on the construction of Hermite interpolating polynomials, from their characterizing properties and generating algorithms to a graphical analysis of their behavior. The final section of the book is dedicated to the application of Hermite interpolating polynomials to linear and nonlinear differential equations in one or several variables. Of particular interest is an example based on the author's thermal analysis of the space shuttle during reentry to the earth's atmosphere, wherein he uses the polynomials developed in the book to solve the heat transfer equations for the heating of the lower surface of the wing.

Author Biography

Tavares, Santiago Alves
Release date NZ
June 19th, 2019
Country of Publication
United Kingdom
Imprint
CRC Press
Pages
704
ISBN-13
9780367392260
Product ID
31375881

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