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Generation of multivariate hermite interpolating polynomials

Author: Santiago Alves Tavares
Publisher: Boca Raton, FL : Chapman & Hall/CRC, 2006.
Series: Monographs and textbooks in pure and applied mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Santiago Alves Tavares
ISBN: 1584885726 9781584885726
OCLC Number: 60543268
Description: 672 pages : illustrations ; 24 cm.
Contents: 1. Constrained coordinate system --
2. Generation of the coordinate system --
3. Natural coordinates --
4. Computation of the number of elements --
5. An ordering relation --
6. Application to symbolic computation of derivatives --
7. Multivariate hermite interpolating polynomial --
8. Generation of the hermite interpolating polynomials --
9. Hermite interpolating polynomials : the classical and present approaches --
10. Normalized symmetric square domain --
11. Rectangular nonsymmetric domain --
12. Generic domains --
13. Extensions of the constrained numbers --
14. Field of the complex numbers --
15. Analysis of the behavior of the hermite interpolating polynomials --
16. Construction of the approximate solution --
17. One-dimensional two-point boundary value problems --
18. Application to problems with several variables --
19. Thermal analysis of the surface of the space shuttle.
Series Title: Monographs and textbooks in pure and applied mathematics.
Responsibility: Santiago Alves Tavares.
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"the book is timely, very useful, and quite unique. [The book] contains many detailed constructions, interesting concepts, and practical discussions. It could be used as a reference book and/or a Read more...

 
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