Orthogonal polynomials :: computation and approximation /
Orthogonal polynomials are a widely used class of mathematical functions that are helpful in the solution of many important technical problems. This book provides, for the first time, a systematic development of computational techniques, including a suite of computer programs in Matlab downloadable...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Oxford ; New York :
Oxford University Press,
2004.
|
| Series: | Numerical mathematics and scientific computation.
Oxford science publications. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | Orthogonal polynomials are a widely used class of mathematical functions that are helpful in the solution of many important technical problems. This book provides, for the first time, a systematic development of computational techniques, including a suite of computer programs in Matlab downloadable from the Internet, to generate orthogonal polynomials of a great variety. |
| Physical Description: | 1 online resource (viii, 301 pages :) |
| Bibliography: | Includes bibliographical references (pages 261-282) and index. |
| ISBN: | 1423771087 9781423771081 9786610758869 6610758867 9780198506720 0198506724 1280758864 9781280758867 0191545058 9780191545054 |
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| 505 | 0 | |a Basic theory: Orthogonal polynomials -- Properties of orthogonal polynomials -- Three-term recurrence relation -- Quadrature rules -- Classical orthogonal polynomials -- Kernel 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. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Orthogonal polynomials are a widely used class of mathematical functions that are helpful in the solution of many important technical problems. This book provides, for the first time, a systematic development of computational techniques, including a suite of computer programs in Matlab downloadable from the Internet, to generate orthogonal polynomials of a great variety. | ||
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| author | Gautschi, Walter, 1927- |
| author_GND | http://id.loc.gov/authorities/names/n89617266 |
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| contents | Basic theory: Orthogonal polynomials -- Properties of orthogonal polynomials -- Three-term recurrence relation -- Quadrature rules -- Classical orthogonal polynomials -- Kernel 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. |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocm68635880 |
| illustrated | Illustrated |
| indexdate | 2025-03-18T14:14:08Z |
| institution | BVB |
| isbn | 1423771087 9781423771081 9786610758869 6610758867 9780198506720 0198506724 1280758864 9781280758867 0191545058 9780191545054 |
| language | English |
| oclc_num | 68635880 |
| open_access_boolean | |
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| physical | 1 online resource (viii, 301 pages :) |
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| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Oxford University Press, |
| record_format | marc |
| series | Numerical mathematics and scientific computation. Oxford science publications. |
| series2 | Numerical mathematics and scientific computation Oxford science publications |
| spelling | Gautschi, Walter, 1927- author. http://id.loc.gov/authorities/names/n89617266 Orthogonal polynomials : computation and approximation / Walter Gautschi. Oxford ; New York : Oxford University Press, 2004. 1 online resource (viii, 301 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Numerical mathematics and scientific computation Oxford science publications Includes bibliographical references (pages 261-282) and index. Basic theory: Orthogonal polynomials -- Properties of orthogonal polynomials -- Three-term recurrence relation -- Quadrature rules -- Classical orthogonal polynomials -- Kernel 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. Print version record. Orthogonal polynomials are a widely used class of mathematical functions that are helpful in the solution of many important technical problems. This book provides, for the first time, a systematic development of computational techniques, including a suite of computer programs in Matlab downloadable from the Internet, to generate orthogonal polynomials of a great variety. English. Orthogonal polynomials. http://id.loc.gov/authorities/subjects/sh85095794 Polynômes orthogonaux. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Orthogonal polynomials fast Orthogonale reeksen. gtt has work: Orthogonal polynomials (Text) https://id.oclc.org/worldcat/entity/E39PCGGJFjc4FKCpCbCKgdrDv3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Gautschi, Walter. Orthogonal polynomials. Oxford ; New York : Oxford University Press, 2004 0198506724 (DLC) 2004556094 (OCoLC)55622265 Numerical mathematics and scientific computation. http://id.loc.gov/authorities/names/nr95041471 Oxford science publications. http://id.loc.gov/authorities/names/n42027424 |
| spellingShingle | Gautschi, Walter, 1927- Orthogonal polynomials : computation and approximation / Numerical mathematics and scientific computation. Oxford science publications. Basic theory: Orthogonal polynomials -- Properties of orthogonal polynomials -- Three-term recurrence relation -- Quadrature rules -- Classical orthogonal polynomials -- Kernel 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. Orthogonal polynomials. http://id.loc.gov/authorities/subjects/sh85095794 Polynômes orthogonaux. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Orthogonal polynomials fast Orthogonale reeksen. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85095794 |
| title | Orthogonal polynomials : computation and approximation / |
| title_auth | Orthogonal polynomials : computation and approximation / |
| title_exact_search | Orthogonal polynomials : computation and approximation / |
| title_full | Orthogonal polynomials : computation and approximation / Walter Gautschi. |
| title_fullStr | Orthogonal polynomials : computation and approximation / Walter Gautschi. |
| title_full_unstemmed | Orthogonal polynomials : computation and approximation / Walter Gautschi. |
| title_short | Orthogonal polynomials : |
| title_sort | orthogonal polynomials computation and approximation |
| title_sub | computation and approximation / |
| topic | Orthogonal polynomials. http://id.loc.gov/authorities/subjects/sh85095794 Polynômes orthogonaux. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Orthogonal polynomials fast Orthogonale reeksen. gtt |
| topic_facet | Orthogonal polynomials. Polynômes orthogonaux. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Orthogonal polynomials Orthogonale reeksen. |
| work_keys_str_mv | AT gautschiwalter orthogonalpolynomialscomputationandapproximation |