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Orthogonal Polynomials Computation and Approximation

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ISBN-10: 0198506724

ISBN-13: 9780198506720

Edition: 2004

Authors: Walter Gautschi

List price: $220.00
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Book details

List price: $220.00
Copyright year: 2004
Publisher: Oxford University Press, Incorporated
Publication date: 6/17/2004
Binding: Hardcover
Pages: 312
Size: 6.14" wide x 9.21" long x 0.85" tall
Weight: 1.474

Basic Theory
Orthogonal polynomials
Properties of orthogonal polynomials
Three-term recurrence relation
Quadrature rules
Classical orthogonal polynomials
Kernal polynomials
Sobolev orthogonal polynomials
Orthogonal polynomials on the semicircle
Notes to chapter 1
Computational Methods
Moment-based methods
Discretization methods
Computing Cauchy integrals of orthogonal polynomials
Modification algorithms
Computing Sobolev orthogonal polynomials
Notes to chapter 2
Applications
Quadrature
Least squares approximation
Moment-preserving spline approximation
Slowly convergent series
Notes to chapter 3