| 청구기호 |
QA404.5 G38 2010 |
| 형태사항 |
viii, 301 p. : ill. ; 24 cm.
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| 총서명 |
Numerical mathematics and scientific computation
Oxford science publications
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| 언어 |
English |
| 서지주기 |
Includes bibliographical references (p. 261-282) and index.
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| 내용 |
1. Basic theory -- 1.1. Orthogonal polynomials -- 1.2. Properties of orthogonal polynomials -- 1.3. Three-term recurrence relation -- 1.4. Quadrature rules -- 1.5. Classical orthogonal polynomials -- 1.6. Kernel polynomials -- 1.7. Sobolev orthogonal polynomials -- 1.8. Orthogonal polynomials on the semicircle -- 2. Computational methods -- 2.1. Moment-based methods -- 2.2. Discretization methods -- 2.3. Computing Cauchy integrals of orthogonal polynomials -- 2.4. Modification algorithms -- 2.5. Computing Sobolev orthogonal polynomials -- 3. Applications -- 3.1. Quadrature -- 3.2. Least squares approximation -- 3.3. Moment-preserving spline approximation -- 3.4. Slowly convergent series.
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| 주제 |
Orthogonal polynomials.
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| LCCN |
2004556094
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| ISBN |
9780198506720 :, 0198506724
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| QR CODE |
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