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Generation of Multivariate Hermite Interpolating Polynomials

Santiago Alves Tavares
Publisher: 
Chapman & Hall/ CRC
Publication Date: 
2005
Number of Pages: 
672
Format: 
Hardcover
Series: 
Pure and Applied Mathematics 274
Price: 
99.95
ISBN: 
1-58488-572-6
We do not plan to review this book.

 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.

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