Generation of Multivariate Hermite Interpolating Polynomials

Informationen zum Autor Tavares! Santiago Alves Zusammenfassung Intends to advance the study of approximate solutions to partial differential equations by formulating a novel approach that employs Hermite interpolating polynomials and by supplying algorithms useful in applying this approach. This book outlines the rules for writing the algorithms and presents them in pseudo-code. Inhaltsverzeichnis 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.

Product details

• Authors: Santiago Alves Tavares, Santiago Alves Tavares, Santiago Alves (University of Florida Tavares, Tavares Alves Tavares, Tavares Santiago Alves
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 23.08.2005
• EAN: 9781584885726
• ISBN: 978-1-58488-572-6
• No. of pages: 704
• Series: Chapman & Hall/CRC Pure and Applied Mathematics; Chapman & Hall/CRC Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Mathematical Analysis, Calculus & mathematical analysis, Calculus and mathematical analysis