Chebyshev Polynomials

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CRC Press, 2002/09/17 - 360 ページ
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Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focuse
 

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目次

1 Definitions
1
2 Basic Properties and Formulae
19
3 The Minimax Property and Its Applications
41
4 Orthogonality and LeastSquares Approximation
71
5 Chebyshev Series
105
6 Chebyshev Interpolation
145
7 NearBest L8734 L1 and Lp Approximations
165
8 Integration Using Chebyshev Polynomials
177
9 Solution of Integral Equations
203
10 Solution of Ordinary Differential Equations
231
11 Chebyshev and Spectral Methods for Partial Differential Equations
261
12 Conclusion
303
Bibliography
305
Appendices
321
Index
335
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