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portada Generation of Multivariate Hermite Interpolating Polynomials
Type
Physical Book
Author
Publisher
Year
2005
Language
English
Pages
700
Format
Hardcover
Dimensions
23x16.3x4.2 cm
Weight
1.12 kg.
ISBN
1584885726
ISBN13
9781584885726
Categories

Generation of Multivariate Hermite Interpolating Polynomials

Santiago Alves Tavares (Author) · CRC Press · Hardcover

Generation of Multivariate Hermite Interpolating Polynomials - Tavares, Santiago Alves

New Book Imported to South Africa
Delivery: 12 Oct - 20 Oct Shipping: 11 to 12 business days.
R 4,927
R 4,927

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Synopsis "Generation of Multivariate Hermite Interpolating Polynomials"

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.

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