Generation of Multivariate Hermite Interpolating Polynomials
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A01=Santiago Alves Tavares
ABCD
advanced polynomial algorithms for PDEs
Aoi
Approximate Solution
Author_Santiago Alves Tavares
boundary value problems
Category=PBK
Chebyshev Polynomials
Complete Polynomial
constraint
Constraint Equation
Coordinate Number
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
fa0
geometric
geometric representation
Governing Differential Equation
heat transfer modeling
Hermite Interpolating Polynomials
Higher Dimensional Examples
Interpolating Polynomials
l11
level
Line Segment
multivariate analysis
Natural Coordinate
node
nonlinear equations
Pascal Triangle
Polynomial Fa3
Polynomial Fe
Polynomial Solution
Rational Function Solution
reference
Reference Node
representation
set
Set L14
symbolic computation
underlying
Underlying Set
Uo Ui
Variable Factors Factors
Vice Versa
Wo
Product details
- ISBN 9781584885726
- Weight: 1043g
- Dimensions: 152 x 229mm
- Publication Date: 23 Aug 2005
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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 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.
Tavares, Santiago Alves
