Generation of Multivariate Hermite Interpolating Polynomials: 1st Edition (e-Book) book cover

Generation of Multivariate Hermite Interpolating Polynomials

1st Edition

By Santiago Alves Tavares

Chapman and Hall/CRC

704 pages

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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 ex

Table of Contents

CONSTRAINED NUMBERS. Constrained Coordinate System. Generation of the Coordinate System. Natural Coordinates. Computation of the Number of Elements. An Ordering Relation. Application to Symbolic Computation of Derivatives. HERMITE INTERPOLATING POLYNOMIALS. Multivariate Hermite Interpolating Polynomials. Generation of the Hermite Interpolating Polynomials. Hermite Interpolating Polynomials: The Classical and Present Approaches. Normalized Symmetric Square Domain. Rectangular Non-Symmetric Domain. Generic Domains. Extensions of the Constrained Numbers. Field of the Complex Numbers. Analysis of the Behavior of the Hermite Interpolating Polynomials. SELECTED APPLICATIONS. Construction of the Approximate Solution. One-Dimensional Two Point Boundary Value Problems. Application to Problems with Several Variables. Thermal Analysis of the Surface of the Space Shuttle.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Differential Equations
MATHEMATICS / Functional Analysis
SCIENCE / Mathematical Physics